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2 NEW TITLES DEVELOPMENT MATHEMATICS 2009 Author ISBN-13 MHID Page Introductory Algebra, 3e Bello Algebra For College Students, 5e Dugopolski Elementary Algebra, 6e Dugopolski Elementary And Intermediate Algebra, 3e Dugopolski Intermediate Algebra, 6e Dugopolski Beginning And Intermediate Algebra, 2e Messersmith Beginning And Intermediate Algebra, 2e Hall Basic Mathematical Skills With Geometry, 7e Hutchison Beginning Algebra, 7e Hutchison Elementary And Intermediate Algebra, 3e Hutchison Elementary And Intermediate Algebra, Hutchinson Alternate Hardcover Edition, 3e Intermediate Algebra Hutchison Beginning Algebra, 2e Miller Beginning And Intermediate Algebra, 2e Miller X 24 Intermediate Algebra, 2e Miller Mathematics Service Courses 2007 Mathematics For Technicians, 6e Alldis i HED_08 Math&Statistics_NewTitles.indd 1 1/21/2008 5:22:23 PM

3 NEW TITLES NEW TITLES Precalculus 2009 Author ISBN-13 MHID Page College Algebra: Graphs And Models, 3e Barnett Precalculus: Graphs And Models, 3e Barnett X 58 Statistics and Probability 2009 Author ISBN-13 MHID Page Complete Business Statistics With Student CD, 7e Aczel Business Statistics In Practice, 5e Bowerman College Algebra, 8e Barnett College Algebra With Trigonometry, 8e Barnett Precalculus With Limits, 6e Barnett Precalculus With Mathzone, 6e Barnett Trigonometry With Mathzone Coburn Elementary Statistics: A Brief Version, 4e Bluman X 109 Essentials Of Business Statistics With Student CD, 2e Bowerman Basic Statistics For Business And Economics With Lind Student CD, 6e Basic Statistics Using Excel To Accompany Statistical Lind Techniques In Business And Economics, 13e calculus 2008 Statistical Techniques In Business And Economics, 3e Lind Statistics For Engineers And Scientists, 2e Navidi Calculus: Late Transcendental Functions, 3e Smith Calculus: Multivariable: Late Transcendental Functions, 3e Smith X 80 Calculus, Single Variable: Late Transcendental Functions, 3e Smith Higher Mathematics 2009 Complex Variables And Applications, 8e Brown Fourier Series And Boundary Value Problems, 7e Brown ii iii HED_08 Math&Statistics_NewTitles.indd 2-3 1/21/2008 5:22:24 PM

4 CONTENTS Developmental Mathematics Algrebra For College Students Arithmetic/Basic Math Beginning Algebra Beginning/Intermediate Algebra Combined Intermediate Algebra Prealgebra ******************** Mathematics Service Courses Business Mathematics Discrete Mathematics Finite Mathematics Geometry Liberal Arts Mathematics Mathematics For Elementary Teachers Technical Mathematics Higher Mathematics Abstract Algebra Advanced Engineering Mathematics Advanced Geometry Combinatorics Complex Analysis Differential Equations Differential Equations With Boundary Value Problems Dynamical System Graph Theory History Of Mathematics Introductory Analysis Linear Algebra Logic Mathematical References Number Theory Numerical Analysis Partial Differential Equations Topology Transition To Higher Math/Foundations Of Higher Math ******************** ******************** Precalculus College Algebra College Algebra With Trigonometry Precalculus Trigonometry ******************** Calculus Applied/Business Calculus Calculus and Analytic Geometry Multi-Variable Calculus Single Variable Calculus Statistics & Probability Advanced Statistics Applied Statistics Engineering Applied Statistics Eduction, Psychology And Soical Science Applied Statistics Science, Health And Biostatistics Business Statistics Statistics And Probability (Calculus) Statistics And Probability (Non-Calculus) ******************** 1

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6 DEVELOPMENTAL MATHEMATICS Algrebra for College Students...34 Arithmetic/Basic Math...5 Beginning Algebra...11 Beginning/Intermediate Algebra Combined...16 Intermediate Algebra...27 PreAlgebra...9 3

7 NEW TITLES DEVELOPMENT MATHEMATICS 2009 Author ISBN-13 MHID Page Introductory Algebra, 3e Bello Algebra For College Students, 5e Dugopolski Elementary Algebra, 6e Dugopolski Elementary And Intermediate Algebra, 3e Dugopolski Intermediate Algebra, 6e Dugopolski Beginning And Intermediate Algebra, 2e Messersmith Beginning And Intermediate Algebra, 2e Hall Basic Mathematical Skills With Geometry, 7e Hutchison Beginning Algebra, 7e Hutchison Elementary And Intermediate Algebra, 3e Hutchison Elementary And Intermediate Algebra, Hutchinson Alternate Hardcover Edition, 3e Intermediate Algebra Hutchison Beginning Algebra, 2e Miller Beginning And Intermediate Algebra, 2e Miller X 24 Intermediate Algebra, 2e Miller

8 DEVELOPMENTAL MATHEMATICS Arithmetic/Basic Math New International Edition BASIC MATHEMATICAL SKILLS WITH GEOMETRY Seventh Edition By Donald Hutchison, Stefan Baratto and Barry Bergman of Clackamas Community College 2008 (November 2006) ISBN-13: / MHID: ISBN-13: / MHID: [IE] Browse Basic Mathematical Skills with Geometry, 7/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics. The seventh edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce basic mathematical skills and put the content in context. The authors use a three-pronged approach (I. Communication, II. Pattern Recognition, and III. Problem Solving) to present the material and stimulate critical thinking skills. Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice. The exercise sets have been expanded, organized, and clearly labeled. Vocational and professional-technical exercises have been added throughout. Repeated exposure to this consistent structure should help advance the student s skills in relating to mathematics. The book is designed for a one-semester basic math course and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw- Hill s online homework management system, MathZone. New to this edition CHANGES TO GEOMETRY COVERAGE--Geometry and measurement have been split into two chapters, with some of the geometry material now being presented earlier in the book. In Chapter 7, which now focuses on measurements, material has been added on temperature conversions, including additional examples. Chapter 8 now focuses on geometric topics and includes more precise vocabulary terms. MAKE THE CONNECTION --Chapter-Opening Vignettes were substantially revised to provide students interesting, relevant scenarios that will capture their attention and engage them in the upcoming material. Furthermore, exercises and Activities related to the Opening Vignettes were added or updated in each chapter. These exercises are marked with a special icon next to them. READING YOUR TEXT --This new feature is a set of quick exercises presented at the end of each section meant to quiz students vocabulary knowledge. These exercises are designed to encourage careful reading of the text. Answers to these exercises are provided at the end of the book. RESTRUCTURING OF END-OF-SECTION EXERCISES--The comprehensive End-of-Section exercises have been reorganized to more clearly identify the different types of exercises being presented. This structure highlights the progression in level and type of exercise for each section. The application exercises that are now integrated into every section are a crucial component of this organization. 1 Operations on Whole Numbers 1.1 The Decimal Place-Value System 1.2 Addition 1.3 Subtraction 1.4 Rounding, Estimation, and Order 1.5 Multiplication 1.6 Division 1.7 Exponential Notation and the Order of Operations 2 Multiplying and Dividing Fractions 2.1 Prime Numbers and Divisibility 2.2 Factoring Whole Numbers 2.3 Fraction Basics 2.4 Simplifying Fractions 2.5 Multiplying Fractions 2.6 Dividing Fractions 3 Adding and Subtracting Fractions 3.1 Adding and Subtracting Fractions with Like Denominators 3.2 Common Multiples 3.3 Adding and Subtracting Fractions with Unlike Denominators 3.4 Adding and Subtracting Mixed Numbers 3.5 Order of Operations with Fractions 3.6 Estimation Applications 4 Decimals 4.1 Place Value and Rounding 4.2 Converting Between Fractions and Decimals 4.3 Adding and Subtracting Decimals 4.4 Multiplying Decimals 4.5 Dividing Decimals 5 Ratios and Proportions 5.1 Ratios 5.2 Rates and Unit Pricing 5.3 Proportions 5.4 Solving Proportions 6 Percents 6.1 Writing Percents as Fractions and Decimals 6.2 Writing Decimals and Fractions as Percents 6.3 Identifying the Parts of a Percent Problem 6.4 Solving Percent Problems 7 Measurement 7.1 The Units of the English System 7.2 Metric Units of Length 7.3 Metric Units of Weight and Volume 7.4 Converting Between the English and Metric Systems 8 Geometry 8.1 Area and Circumference 8.2 Lines and Angles 8.3 Triangles 8.4 Square Roots and the Pythagorean Theorem 9 Data Analysis and Statistics 9.1 Means, Medians, and Modes 9.2 Tables, Pictographs, and Bar Graphs 9.3 Line Graphs and Predictions 9.4 Creating Bar Graphs and Pie Charts 9.5 Describing and Summarizing Data Sets 10 The Real Number System 10.1 Real Numbers and Order 10.2 Adding Real Numbers 10.3 Subtracting Real Numbers 10.4 Multiplying Real Numbers 10.5 Dividing Real Numbers and the Order of Operations 11 An Introduction to Algebra 11.1 From Arithmetic to Algebra 11.2 Evaluating Algebraic Expressions 11.3 Adding and Subtracting Algebraic Expressions 11.4 Using the Addition Property to Solve an Equation 11.5 Using the Multiplication Property to Solve an Equation 11.6 Combining the Properties to Solve Equations 5

9 DEVELOPMENTAL MATHEMATICS BASIC COLLEGE MATHEMATICS By Julie Miller, Daytona Beach Cc-Daytona Beach, Molly O Neill, Daytona Beach Cc-Daytona Beach, and Nancy Hyde, Broward Community College 2007 (November 2006) ISBN-13: / MHID: (with MathZone) ISBN-13: / MHID: (softcover) Browse: Basic College Mathematics offers a refreshing approach to the traditional content of the course. Presented in worktext format, Basic College Mathematics focuses on basic number skills: operations and problem-solving with whole numbers, fractions, and decimals. Other topics include geometry, measurement, ratios, proportions, percents, and the real number system (with an introduction to algebra). The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. 1 Whole Numbers 2 Fractions: Multiplication and Division 3 Fractions: Addition and Subtraction 4 Decimals 5 Ratio and Proportion 6 Percents 7 Measurement 8 Geometry 9 Introduction to Statistics 10 Real Numbers 11 Solving Equations BASIC COLLEGE MATHEMATICS Second Edition By Ignacio Bello, University of South Florida, Tampa 2006 / Hardcover with CD ISBN-13: / MHID: ISBN-13: / MHID: (with MathZone) Basic College Mathematics will be a review of fundamental math concepts for some students and may break new ground for others. Nevertheless, students of all backgrounds will be delighted to find a refreshing book that appeals to all learning styles and reaches out to diverse demographics. Through down-to-earth explanations, patient skill-building, and exceptionally interesting and realistic applications, this worktext will empower students to learn and master mathematics in the real world. 1. WHOLE NUMBERS 1.1 Standard Numerals 1.2 Ordering and Rounding Whole Numbers 1.3 Addition 1.4 Subtraction 1.5 Multiplication 1.6 Division 1.7 Primes, Factors, and Exponents 1.8 Order of Operations and Grouping Symbols 1.9 Equations and Problem Solving 2. FRACTIONS AND MIXED NUMBERS 2.1 Fractions and Mixed Numbers 2.2 Equivalent Fractions 2.3 Multiplication and Division of Fractions and Mixed Numbers 2.4 Addition and Subtraction of Fractions 2.5 Addition and Subtraction of Mixed Numbers 2.6 Order of Operations and Grouping Symbols 2.7 Equations and Problem Solving 3. DECIMALS 3.1 Addition and Subtraction of Decimals 3.2 Multiplication and Division of Decimals 3.3 Fractions and Decimals 3.4 Decimals, Fractions, and Order 3.5 Solving Equations and Word Problems 4. RATIO, RATE, AND PROPORTION 4.1 Ratio and Proportion 4.2 Rates 4.3 Word Problems Involving Proportion 5. PERCENT 5.1 Percent Notation 5.2 Percent Problems 5.3 Solving Percent Problems using Proportions 5.4 Taxes, Interest, Commissions, and Discounts 5.5 Applications: Percent of Increase and Decrease 5.6 Consumer Credit 6. STATISTICS AND GRAPHS 6.1 Tables and Pictographs 6.2 Bar and Line Graphs 6.3 Circle Graphs 6.4 Mean, Median, and Mode 7. MEASUREMENT AND THE METRIC SYSTEM 7.1 Length 7.2 The Metric System 7.3 Converting Between American and Metric Units 7.4 Converting Units of Area 7.5 Capacity 7.6 Weight and Temperature 8. GEOMETRY 8.1 Finding Perimeters 8.2 Finding Areas 8.3 Volume of Solids 8.4 Angles and Triangles 8.5 Square Roots and Pythagoras Theorem 9. THE REAL NUMBERS 9.1 Addition and Subtraction of Integers 9.2 Multiplication and Division of Integers 9.3 The Rational Numbers 9.4 Order of Operations 10. INTRODUCTION TO ALGEBRA 10.1 Introduction to Algebra 10.2 The Algebra of Exponents 10.3 Scientific Notation 10.4 Solving Linear Equations 10.5 Applications: Word Problems INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: 6

10 DEVELOPMENTAL MATHEMATICS MATH FOR THE ANXIOUS By Rosanne Proga 2005 / 176 pages ISBN-13: / MHID: X 1 The Misery of Math Anxiety Math Memories. Math Anxiety: What Causes it? To Succeed in Math... Why Learn Math? How We Learn Math. Problem Solving. Math Anxiety: Why Must It Be Addressed? Strategies for Success. Exercises. 2 Strategies for Conquering Math Anxiety Math Memories. Choosing the Righ Math Course. Getting the Most Out of a Math Class. Your Attitued Toward Mathematics. Strategies for Effective Studying. Estimation. How to Read a Math Book. Using Additional Resources. Test Preparation. Test-Taking Strategies. How to Measure Results. Strategies for Success. Exercises. 3 Becoming Nimble with Numbers Math Memories. Common Problems. Hints for Studying Numbers. Symbols Used in Mathematics. Addition of Whole Numbers. Addition in Daily Life: Total Mileage. Subtraction of Whole Numbers. Subtraction in Daily Life: Population Expansion. Subtraction in Daily Life: Bank Deposit. Multiplication of Whole Numbers. Multiplication in Daily Life: Buying Stock. Division of Whole Numbers. Division in Daily Life: Rows in a Lecture Hall. Division in Daily Life: Lottery Prize. Word Problems. Word Problems in Daily Life: Sales Profits. Strategies for Success. Exercises. 4 Fighting Fear of Fractions Math Memories. Common Problems. Hints for Studying Fractions. What Is A Fraction? Properties of Fractions. Types of Fractions. Converting Between Mixed Numbers and Improper Fractions. Equivalent Fractions. Reducing to Lowest Terms. Lowest Common Denominator. Addition and Subtraction of Fractions. Multiplication of Fractions. Division of Fractions. Fractions in Daily Life: Moving Furniture. Fractions in Daily Life: Measuring Fabric. Strategies for Success. Exercises. 5 Daring to Do Decimals Math Memories. Common Problems. Hints for Studying Decimals. Naming Decimals. Estimation. Addition and Subtraction of Decimals. Multiplication of Decimals. Decimals in Daily Life: Calculating Cost. Division of Decimals. Decimals in Daily Life: Calculating Mileage. Strategies for Success. Exercises. 6 Gaining Proficiency with Percents Math Memories. Common Problems. Hints for Studying Percents. Converting Percents to Fractions. Converting Percents to Decimals. Converting Decimals to Percents. Converting Fractions to Percents. Percents in Daily Life: Discounts. Percents in Daily Life: Interest. Percents in Daily Life: Tipping. Percents in Daily Life: Taxes. Strategies for Success. Exercises. 7 Getting the Most out of Graphs Math Memories. Commong Problems. Hints for Studying Graphs. Bar Graphs in Daily Life. Pictographs in Daily Life. Line Graphs in Daily Life. Pie Charts in Daily Life. Strategies for Success. Exercises. 8 Succeeding with Signed Numbers Math Memories. Common Problems. Hints for Studying Signed Numbers. Addition of Signed Numbers. Subtraction of Signed Numbers. Multiplication of Signed Numbers. Division of Signed Numbers. Signed Numbers in Daily Life: Bank Account Balance. Signed Numbers in Daily Life: Elevation. Strategies for Success. Exercises. 9 Mastering Measurement Math Memories. Common Problems. Hints for Studying Measurement. Units of Time. Units of Length. Units of Weight. Units of Volume. The Metric System. Estimating Conversions Between English and Metric Units. Measurement in Daily Life: Unit Price. Strategies for Success. Exercises. 10 Grasping Geometry: Math Memories. Commong Problems. Hints for Studying Geometry. Perimeter. Geometry in Daily Life: Perimeter. Area. Geometry in Daily Life: Area. Circles. Geometry in Daily Life: Circles. Volume. Geometry in Daily Life: Volume. Strategies for Success. Exercises. 11 Moving Beyond Math Anxiety Math Memories. Taking the Next Step. Strategies for Success. Exercises MATHEMATICS FOR TECHNICIANS Fifth Edition By Blair Alldis, former Head Teacher of Mathematics, Randwick College of TAFE, Australia 2002 / 304 pages ISBN-13: / MHID: (with CD) McGraw-Hill Australia Title Preface Chapter 1 Fractions and Decimals Chapter 2 Ratio, Proportion and Percentage Chapter 3 Measurement and Mensuration Chapter 4 Introduction to Algebra Chapter 5 Formulae: evaluation and transposition Chapter 6 Introduction to Geometry Chapter 7 Geometry of Triangles and Quadrilaterals Chapter 8 Geometry of the Circle Chapter 9 Straight Line Coordinate Geometry Chapter 10 Introduction to Trigonometry Chapter 11 Indices and Radicals Chapter 12 Polynomials Chapter 13 Functions and their Graphs Chapter 14 Logarithms and Exponential Equations Chapter 15 Non-Linear Empirical Equations Chapter 16 Compound Interest: exponential growth and decay Chapter 17 Circular Functions Chapter 18 Phase Angles: more graphs of trigonometrical functions Chapter 19 Trigonometry of Oblique Triangles Chapter 20 Trigonometrical Identities Chapter 21 Introduction to Vectors. Answers to chapter exercises and self-test problems. SCHAUM S A-Z MATHEMATICS By John Berry; Ted Graham and Elizabeth Berry 2004 / 288 pages ISBN-13: / MHID: A Schaum s Publication Schaum s A-Z handbooks make excellent complements to course textbooks and test preparation guides. Ideal for ambitious high school seniors especially AP students and college freshmen, they feature concise, thoroughly cross-referenced definitions of hundreds of key terms and phrases that help students quickly break through the jargon barrier. Clear explanations of key concepts, supplemented with lucid illustrations, help build mastery of theory and provide a ready reference to supplement class work. 7

11 DEVELOPMENTAL MATHEMATICS EVERYDAY MATH DEMYSTIFIED By Stan Gibilisco 2004 / Softcover / 440 pages ISBN-13: / MHID: A Professional Publication PART ONE: EXPRESSING QUANTITIES Chapter 1. Numbers and Arithmetic Chapter 2. How Variables Relate Chapter 3. Extreme Numbers Chapter 4. How Things Are Measured Test: Part One PART TWO: FINDING UNKNOWNS Chapter 5. Basic Algebra Chapter 6. More Algebra Chapter 7. A Statistics Sampler Chapter 8. Taking Chances Test: Part Two PART THREE: SHAPES AND PLACES Chapter 9. Geometry on the Flats Chapter 10. Geometry in Space Chapter 11. Graphing It Chapter 12. A Taste of Trigonometry Test: Part Three PART FOUR: MATH IN SCIENCE Chapter 13. Vectors and 3D Chapter 14. Growth and Decay Chapter 15. How Things Move Test: Part Four. Final Exam. Answers to Quiz, Test, and Exam Questions. Suggested Additional References. Index HOW TO SOLVE WORD PROBLEMS IN ARITHMETIC By Phyllis Pullman 2001 / 160 pages ISBN-13: / MHID: A Professional Publication Chapter 1: Approaching Word Problems Chapter 2: Reviewing the Basics Chapter 3: Problems Involving Perimeter and Area Chapter 4: Problems Involving the Circle Chapter 5: Other Geometry Problems Chapter 6: Problems Involving Percent Chapter 7: Problems Involving Proportions Chapter 8: Problems Involving Statistics Chapter 9: Number Problems Chapter 10: Problems Involving Problem Solving Skills Other Than Arithmetic Chapter 11: Some Mathematical Curiosities and Other Fun Stuff Chapter 12: Miscellaneous Problem Drill. How to Solve Word Problems in Mathematics By David Wayne, NJ Public Schools 2001 / 176 pages ISBN-13: / MHID: X A Professional Publication Chapter 1: Measurement, Estimation, and Using Formulas Chapter 2: Using Algebraic Equations to Solve Problems Chapter 3: Word Problems Involving Ratio, Proportion, and Percentage Chapter 4: Word Problems Involving Geometry and Trignometry Chapter 5: Word Problems Involving Statistics, Counting, and Probability Chapter 6: Miscellaneous Problem Drill. Appendix: A Brief Review of Solving Equations. SCHAUM S OUTLINE OF REVIEW OF ELEMENTARY MATHEMATICS Second Edition By Barnett Rich (deceased), Philip Schmidt, State University College New Paltz 1997 / 288 pages ISBN-13: / MHID: A Schaum s Publication adkey=w02003 Fundamentals of Arithmetic: Number Fundamentals of Arithmetic and Introduction to Calculators Fractions Decimals Percents Signed Numbers Fundamentals of Algebra: Laws and Operations Fundamentals of Algebra: Equations and Formulas Ratios, Proportions, and Rates. Fundamentals of Geometry Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES 8

12 DEVELOPMENTAL MATHEMATICS PreAlgebra PREALGEBRA Second Edition By Donald Hutchison, Barry Bergman, and Stefan Baratto, all of Clackamas Community College 2007 (December 2005) / Softcover ISBN-13: / MHID: (with MathZone) Browse Prealgebra: An Integrated Equations Approach, 2e, by Hutchison/ Bergman/Baratto extends the successful Streeter series in developmental mathematics. This worktext utilizes an integrated equations approach that pairs arithmetic concepts alongside corresponding algebraic concepts. Beginning in chapter 1, students are gradually exposed to key algebraic concepts such as variables and equations. In this way, students gradually build their confidence dealing with basic algebra concepts and are better prepared for an introductory algebra course. Integers, fractions, and decimals are used frequently after their initial introduction, developing students comfort with them. Students also develop valuable critical thinking skills through numerous, varied examples and exercises that focus on real-world applications and problem solving. The worktext is accompanied by numerous useful supplements, including McGraw- Hill s online homework management system, MathZone. CHAPTER 1 Whole Numbers Pretest Chapter Introduction to Whole Numbers, Place Value 1.2 Addition of Whole Numbers 1.3 Subtraction of Whole Numbers 1.4 Rounding, Estimation, and Ordering of Whole Numbers 1.5 Multiplication of Whole Numbers 1.6 Division of Whole Numbers 1.7 Exponents 1.8 Order of Operations 1.9 An Introduction to Equations Summary Summary and Review Exercises Chapter Test CHAPTER 2 Integers and Introduction to Algebra Pretest Chapter Introduction to Integers 2.2 Addition of Integers 2.3 Subtraction of Integers 2.4 Multiplication of Integers 2.5 Division of Integers 2.6 Introduction to Algebra: Variables and Expressions 2.7 Evaluating Algebraic Expressions 2.8 Simplifying Algebraic Expressions 2.9 Introduction to Linear Equations 2.10 The Addition Property of Equality Summary Summary and Review Exercises Chapter Test Cumulative Test for Chapters 1 and 2 CHAPTER 3 Fractions and Equations Pretest Chapter Introduction to Fractions 3.2 Prime Numbers and Factorization 3.3 Equivalent Fractions 3.4 Multiplication and Division of Fractions 3.5 The Multiplication Property of Equality 3.6 Linear Equations in One Variable Summary Summary and Review Exercises Chapter Test Cumulative Test for Chapters 1 to 3 CHAPTER 4 Applications of Fractions and Equations Pretest Chapter Addition and Subtraction of Fractions 4.2 Operations on Mixed Numbers 4.3 Complex Fractions 4.4 Applications Involving Fractions 4.5 Equations Containing Fractions 4.6 Applications of Linear Equations in One Variable Summary Summary and Review Exercises Chapter Test Cumulative Test for Chapters 1 to 4 CHAPTER 5 Decimals Pretest Chapter Introduction to Decimals, Place Value, and Rounding 5.2 Addition and Subtraction of Decimals 5.3 Multiplication of Decimals 5.4 Division of Decimals 5.5 Fractions and Decimals 5.6 Equations Containing Decimals 5.7 Square Roots and the Pythagorean Theorem 5.8 Applications Summary Summary and Review Exercises Chapter Test Cumulative Test for Chapters 1 to 5 CHAPTER 6 Ratio, Rate, and Proportion Pretest Chapter Ratios 6.2 Rates 6.3 Proportions 6.4 Similar Triangles and Proportions 6.5 More Applications of Proportion 6.6 Linear Measurement and Conversion Summary Summary and Review Exercises Chapter Test Cumulative Test for Chapters 1 to 6 CHAPTER 7 Percent Pretest Chapter Percents, Decimals, and Fractions 7.2 Solving Percent Problems Using Proportions 7.3 Solving Percent Applications Using Equations 7.4 Applications: Simple and Compound Interest 7.5 More Applications of Percent Summary Summary and Review Exercises Chapter Test Cumulative Test for Chapters 1 to 7 CHAPTER 8 Geometry Pretest Chapter Lines and Angles 8.2 Perimeter and Circumference 8.3 Area and Volume Summary Summary and Review Exercises Chapter Test. Cumulative Test for Chapters 1 to 8 CHAPTER 9 Graphing and Introduction to Statistics Pretest Chapter Circle Graphs 9.2 Pictographs, Bar Graphs, and Line Graphs 9.3 The Rectangular Coordinate System 9.4 Linear Equations in Two Variables 9.5 Mean, Median, and Mode Summary Summary and Review Exercises Chapter Test. Cumulative Test for Chapters 1 to 9 CHAPTER 10 Polynomials Pretest Chapter Introduction to Polynomials 10.2 Addition and Subtraction of Polynomials 10.3 Multiplying Polynomials 10.4 Introduction to Factoring Polynomials Summary Summary and Review Exercises Chapter Test. Practice Final Exam Chapters 1 to 10 9

13 DEVELOPMENTAL MATHEMATICS Pre-algebra Third Edition By Daniel Bach, Diablo Valley College and Patricia Leitner, Diablo Valley College 2006 / Softcover ISBN-13: / MHID: (with MathZone) Bach/Leitner s progressive text lays a solid foundation for elementary algebra that carefully addresses student needs. The authors clear, non-intimidating, and humorous style reassures math-anxious readers. Unlike workbook-format Prealgebra texts that stress competence at procedures, this text emphasizes understanding and mastery through careful step-by-step explanations that strengthen students long-term abilities to conceptualize and solve problems. The text s innovative sequencing builds students confidence with arithmetic operations early on before extending the basic concepts to algebraic expressions and equations. The authors unusually thorough introduction to variables eases students through the crucial transition from working with numbers. Throughout the text, interesting applied examples and exercises and math-appreciation features highlight key concepts at work in a wide variety of real-world contexts. Part I Arithmetic Operations 1 Working with Whole Numbers 1.1 Whole Numbers and Place Value, Reading Tables 1.2 Addition and Subtraction of Whole Numbers, Estimation and Calculators 1.3 Multiplication of Whole Numbers, the Laws of Arithmetic 1.4 Division, Quotients and Remainders; Divisibility 1.5 Prime Numbers, Factor Trees, Prime Factorizations 1.6 Greatest Common Divisors and Least Common Multiples A World of Math Chapter Summary, Chapter Review, Chapter Test 2 Whole Numbers and their Negatives 2.1 The Number Line, Integers, Absolute Value, Reading Bar Charts 2.2 Inequality Symbols, Comparison of Integers 2.3 Addition of Positive and Negative Numbers 2.4 Subtraction of Positive and Negative Numbers; Applications 2.5 Multiplication and Division of Positive and Negative Numbers 2.6 Order of Operations and Using Parentheses A World of Math. Chapter Summary, Chapter Review, Chapter Test 3 Fractions, Decimals, and Percentages 3.1 Signed Fractions, Lowest Terms, Improper Fractions and Mixed Numbers 3.2 Ratios, Rates, Proportions, and Probability: An Introduction 3.3 Multiplying and Dividing Fractions; Reciprocals 3.4 Adding and Subtracting Fractions and Order of Operations 3.5 Working with Decimal Numbers 3.6 Introduction to Percentages and Pie Charts A World of Math Chapter Summary, Chapter Review, Chapter Test 4 Exponents and Square Roots 4.1 Exponents and Scientific Notation 4.2 Rules of Exponents (Part 1), Integer Exponents 4.3 Rules of Exponents (Part 2) 4.4 Exponents and the Order of Operations 4.5 Square Roots and the Pythagorean Theorem A World of Math Chapter Summary, Chapter Review, Chapter Test Part II Expressions 5 Introduction to Variables 5.1 Introduction: What is a Variable? 5.2 Expressions Containing Variables, Geometry Formulas, Laws of Arithmetic 5.3 Evaluating Algebraic Expressions; The Prime Code 5.4 Applications: Translating Word Phrases into Expressions A World of Math Chapter Summary, Chapter Review, Chapter Test 6 Working With Polynomials 6.1 Mono-mials and Like Terms 6.2 Adding and Subtracting Polynomials 6.3 Multiplying Monomials; Rules of Exponents Revisited 6.4 Multiplying Polynomials; The FOIL Method 6.5 Factoring Out a Common Factor A World of Math Chapter Summary, Chapter Review, Chapter Test 7 Algebraic Fractions 7.1 Reducing Algebraic Fractions to Lowest Terms 7.2 Multiplying and Dividing Algebraic Fractions 7.3 Building Fractions; Least Common Multiples 7.4 Adding and Subtracting Algebraic Fractions A World of Math Chapter Summary, Chapter Review, Chapter Test Part III Equations 8 Solving Equations and Applications 8.1 Intro-duction: What is an Equation? 8.2 Solution Sets and Missing Number Statements 8.3 Solving Linear Equations Using Addition and Subtraction 8.4 Solving Linear Equations and Proportions Using Multiplication and Division 8.5 Applications: Translating Word Statements Into Equations 8.6 Linear Equalities and Their Uses A World of Math Chapter Summary, Chapter Review, Chapter Test 9 Further Applications of Equations 9.1 Rates, Ratios and Proportions: A Variable Approach 9.2 Applications With More Than One Unknown Quantity 9.3 Percentage and Simple Interest Applications 9.4 Distance-Rate-Time and Mixture Problems A World of Math Chapter Summary, Chapter Review, Chapter Test 10 Graphing and the Coordinate Plane 10.1 The Coordinate Plane; Plotting Points 10.2 Equations With Two Variables and Their Graphs 10.3 The Slope of a Line, Rates of Change 10.4 Finding the Equation of a Line (Optional) 10.5 Statistics, Charts, and Graphs A World of Math Chapter Summary, Chapter Review, Chapter Test 11 Geometry and Measurement 11.1 Geometry of Lines, Angles, and Polygons 11.2 Triangles; Congruence and Similarity; The Pythagorean Theorem 11.3 Perimeters and Areas of Common Shapes 11.4 Composite Shapes, Volumes and Surface Areas 11.5 Measurement and Conversion Using U.S. Units 11.6 The Metric System and Conversion Between Systems A World of Math Chapter Summary, Chapter Review, Chapter Test INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: 10

14 DEVELOPMENTAL MATHEMATICS New Beginning Algebra INTRODUCTORY ALGEBRA Third Edition By Ignacio Bello, University of South Florida-Tampa 2009 (January 2008) / 800 pages ISBN-13: / MHID: Introductory Algebra prepares students for Intermediate Algebra by covering fundamental algebra concepts and key concepts needed for further study. Students of all backgrounds will be delighted to find a refreshing book that appeals to every learning style and reaches out to diverse demographics. Through down-to-earth explanations, patient skill-building, and exceptionally interesting and realistic applications, this worktext will empower students to learn and master algebra in the real world. New to this edition Interesting writing style with student-centric context. Paired Examples/Problems: examples are placed adjacent to simmilar problems intended for students to obtain immediate reinforcement of the skill they have just learned. There is an abundance of quality, easily understood examples/problems throughout the text. Realistic applications based on real data which help the students relate math to their own lives. Translate It boxes to help students learn how to turn phrases into equations. Part of the RSTUV method. New Calculator Corner boxes explaining usage of calculators found before the exercises sets. End-of-section exercise sets to include exercises keyed to objectives and to examples, applied exercises, and skill checkers to confirm/reinforce skills needed for the next section. McGraw-Hill s MathZone is a complete, online tutorial and course management system for mathematics and statistics, designed for greater ease of use than any other system available. Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse. All instructor teaching resources are accessed online, as well as student assignments, questions, e-professors, online tutoring and video lectures which are directly tied to text specific material. MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments. MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing. Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel. Go to to learn more Introductory Algebra Chapter R: Prealgebra Review R.1 Fractions: Building and Reducing R.2 Operations with Fractions and Mixed Numbers R.3 Decimals and Percents Chapter 1: Real Numbers and Their Properties 1.1 Introduction to Algebra 1.2 The Real Numbers 1.3 Adding and Subtracting Real Numbers 1.4 Multiplying and Dividing Real Numbers 1.5 Order of Operations 1.6 Properties of the Real Numbers 1.7 Simplifying Expressions Chapter 2: Equations, Problem Solving, and Inequalities 2.1 The Addition and Subtraction Properties of Equality 2.2 The Multiplication and Division Properties of Equality 2.3 Linear Equations 2.4 Problem Solving: Integer, General, and Geometry Problems 2.5 Problem Solving: Motion, Mixture, and Investment Problems 2.6 Formulas and Geometry Applications 2.7 Properties of Inequalities Chapter 3: Graphs of Linear Equations, Inequalities, and Applications 3.1 Line, Bar Graphs and Applications 3.2 Graphing Linear Equations in Two Variables 3.3 Graphing Lines Using Intercepts: Horizontal and Vertical Lines 3.4 The Slope of a Line: Parallel and Perpendicular Lines 3.5 Graphing Lines Using Points and Slopes 3.6 Applications of Equations of Lines 3.7 Graphing Inequalities in Two Variables Chapter 4: Exponents and Polynomials 4.1 The Product, Quotient, and Power Rules for Exponents 4.2 Integer Exponents 4.3 Application of Exponents: Scientific Notation 4.4 Polynomials: An Introduction 4.5 Addition and Subtraction of Polynomials 4.6 Multiplication of Polynomials 4.7 Special Products of Polynomials 4.8 Division of Polynomials Chapter 5: Factoring 5.1 Common Factors and Grouping 5.2 Factoring x^2+bx+c 5.3 Factoring ax^2+bx+c, a Factoring Squares of Binomials 5.5 A General Factoring Strategy 5.6 Solving Quadratic Equations by Factoring 5.7 Applications of Quadratics Chapter 6: Rational Expressions 6.1 Building and Reducing Rational Expressions 6.2 Multiplication and Division of Rational Expressions 6.3 Addition and Subtraction of Rational Expressions 6.4 Complex Fractions 6.5 Solving Equations Containing Rational Expressions 6.6 Ratio, Proportion, and Applications 6.7 Direct and Inverse Variation Chapter 7: Solving Systems of Linear Equations and Inequalities 7.1 Solving Systems of Equations by Graphing 7.2 Solving Systems of Equations by Substitution 7.3 Solving Systems of Equations by Elimination 7.4 Coin, General Motion, and Investment Problems 7.5 Systems of Linear Inequalities Chapter 8: Roots and Radicals 8.1 Finding Roots 8.2 Multiplication and Division of Radicals 8.3 Addition and Subtraction of Radicals 8.4 Simplifying Radicals 8.5 Applications Chapter 9: Quadratic Equations 9.1 Solving Quadratic Equations by the Square Root Property 9.2 Solving Quadratic Equations by Completing the Square 9.3 Solving Quadratic Equations by the Quadratic Formula 9.4 Graphing Quadratic Equations 9.5 The Pythagorean Theorem and Other Applications 9.6 Functions 11

15 DEVELOPMENTAL MATHEMATICS New ELEMENTARY ALGEBRA Sixth Edition By Mark Dugopolski 2009 (January 2008) ISBN-13: / MHID: Browse: Elementary Algebra, 6e is part of the latest offerings in the successful Dugopolski series in mathematics. The author s goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language. The author uses concrete analogies to relate math to everyday experiences. For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that the price of a hamburger plus a Coke is the same as a Coke plus a hamburger. Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic. Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications. The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other developmental math series on the market. In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses. The book is accompanied by numerous useful supplements, including McGraw-Hill s online homework management system, MathZone. New to this edition Subsection heads are now in the end of section exercise sets, and section heads are now in the Chapter Review Exercises. References to page numbers on which Strategy Boxes are located have been inserted into the direction lines for the exercises when appropriate. Study tips have been removed from the margins to give the pages a better look. Two study tips now precede each exercise set. McGraw-Hill s MathZone is a complete, online tutorial and course management system for mathematics and statistics, designed for greater ease of use than any other system available. Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse. All instructor teaching resources are accessed online, as well as student assignments, questions, e-professors, online tutoring and video lectures which are directly tied to text specific material. MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments. MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing. Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel. Go to to learn more. TO THE STUDENT PREFACE 1 Real Numbers and Their Properties 1.1 The Real Numbers 1.2 Fractions 1.3 Addition and Subtraction of Real Numbers 1.4 Multiplication and Division of Real Numbers 1.5 Exponential Expressions and the Order of Operations 1.6 Algebraic Expressions 1.7 Properties of the Real Numbers 1.8 Using the Properties to Simplify Expressions Chapter 1 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 1 Test Critical Thinking 2 Linear Equations and Inequalities in One Variable 2.1 The Addition and Multiplication Properties of Equality 2.2 Solving General Linear Equations 2.3 More Equations 2.4 Formulas 2.5 Translating Verbal Expressions into Algebraic Expressions 2.6 Number, Geometric, and Uniform Motion Applications 2.7 Discount, Investment, and Mixture Applications 2.8 Inequalities 2.9 Solving Inequalities and Applications Chapter 2 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 2 Test Making Connections: A review of Chapters 1-2 Critical Thinking 3 Linear Equations in Two Variables and Their Graphs 3.1 Graphing Lines in the Coordinate Plane 3.2 Slope 3.3 Equations of Lines in Slope-Intercept Form 3.4 The Point-Slope Form 3.5 Variations Chapter 3 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 3 Test Making Connections: a review of Chapters 1-3 Critical Thinking 4 Systems of Linear Equations and Inequalities 4.1 The Graphing Method 4.2 The Substitution Method 4.3 The Addition Method 4.4 Graphing Linear Inequalities in Two Variables 4.5 Graphing Systems of Linear Inequalities Chapter 4 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 4 Test Making Connections: a review of Chapters 1-4 Critical Thinking 5 Exponents and Polynomials 5.1 The Rules of Exponents 5.2 Negative Exponents and Scientific Notation 5.3 Addition and Subtraction of Polynomials 5.4 Multiplication of Polynomials 5.5 Multiplication of Binomials 5.6 Special Products 5.7 Division of Polynomials 12

16 DEVELOPMENTAL MATHEMATICS Chapter 5 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 5 Test Making Connections: a review of Chapters 1-5 Critical Thinking 6 Factoring 6.1 Factoring Out Common Factors 6.2 Special Products and Grouping 6.3 Factoring the Trinomial ax² + bx + c with a = Factoring the Trinomial ax² + bx + c with a The Factoring Strategy 6.6 Solving Quadratic Equations by Factoring Chapter 6 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 6 Test Making Connections: a review of Chapters 1-6 Critical Thinking 7 Rational Expressions 7.1 Reducing Rational Expressions 7.2 Multiplication and Division 7.3 Finding the Least Common Denominator 7.4 Addition and Subtraction 7.5 Complex Fractions 7.6 Solving Equations with Rational Expressions 7.7 Applications of Ratios and Proportions 7.8 Applications of Rational Expressions Chapter 7 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 7 Test Making Connections: a review of Chapters 1-7 Critical Thinking 8 Powers and Roots 8.1 Roots, Radicals, and Rules 8.2 Simplifying Square Roots 8.3 Operations with Radicals 8.4 Solving Equations with Radicals and Exponents 8.5 Fractional Exponents Chapter 8 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 8 Test Making Connections: a review of Chapters 1-8 Critical Thinking 9 Quadratic Equations, Parabolas, and Functions 9.1 The Square Root Property and Factoring 9.2 Completing the Square 9.3 The Quadratic Formula 9.4 Applications of Quadratic Equations 9.5 Complex Numbers 9.6 Graphing Parabolas 9.7 Introduction to Functions 9.8 Combining Functions Chapter 9 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 9 Test Making Connections: a review of Chapters 1-9 Critical Thinking Appendix A: Geometry Review Exercises Appendix B: Sets Appendix C: Final Exam Review Answers to Selected Exercises Index New BEGINNING ALGEBRA Seventh Edition By Donald Hutchison, Stefan Baratto and Barry Bergman of Clackamas Community College 2008 (December 2006) ISBN-13: / MHID: Browse Beginning Algebra, 7/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics. The seventh edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce basic algebra skills and put the content in context. The authors use a three-pronged approach (I. Communication, II. Pattern Recognition, and III. Problem Solving) to present the material and stimulate critical thinking skills. Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice. The exercise sets have been expanded, organized, and clearly labeled. Vocational and professional-technical exercises have been added throughout. Repeated exposure to this consistent structure should help advance the student s skills in relating to mathematics. The book is designed for a one-semester beginning algebra course and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw- Hill s online homework management system, MathZone. New to this edition MAKE THE CONNECTION --Chapter-Opening Vignettes were substantially revised to provide students interesting, relevant scenarios that will capture their attention and engage them in the upcoming material. Furthermore, exercises and Activities related to the Opening Vignettes were added or updated in each chapter. These exercises are marked with a special icon next to them. READING YOUR TEXT --This new feature is a set of quick exercises presented at the end of each section meant to quiz students vocabulary knowledge. These exercises are designed to encourage careful reading of the text. Answers to these exercises are provided at the end of the book. RESTRUCTURING OF END-OF-SECTION EXERCISES--The comprehensive End-of-Section exercises have been reorganized to more clearly identify the different types of exercises being presented. This structure highlights the progression in level and type of exercise for each section. The application exercises that are now integrated into every section are a crucial component of this organization. GRAPH PAPER INCLUDED--A graph paper card is bound into the back of the book. This perforated card can be torn out and copied as needed by the students, and can be used any time they need to do graphing. An electronic version of the card is available through the book s website in the Information Center. 0 An Arithmetic Review 0.1 Prime Factorization and Least Common Multiples 0.2 Factoring and Mixed Numbers 0.3 Decimals and Percents 13

17 DEVELOPMENTAL MATHEMATICS 0.4 Exponents and the Order of Operations 0.5 Positive and Negative Numbers 1 The Language of Algebra 1.1 Properties of Real Numbers 1.2 Adding and Subtracting Real Numbers 1.3 Multiplying and Dividing Real Numbers 1.4 From Arithmetic to Algebra 1.5 Evaluating Algebraic Expressions 1.6 Adding and Subtracting Terms 1.7 Multiplying and Dividing Terms 2 Equations and Inequalities 2.1 Solving Equations by the Addition Property 2.2 Solving Equations by the Multiplication Property 2.3 Combining the Rules to Solve Equations 2.4 Formulas and Problem Solving 2.5 Applications of Linear Equations 2.6 Inequalities--An Introduction 3 Polynomials 3.1 Exponents and Polynomials 3.2 Negative Exponents and Scientific Notation 3.3 Adding and Subtracting Polynomials 3.4 Multiplying Polynomials 3.5 Dividing Polynomials 4 Factoring 4.1 An Introduction to Factoring 4.2 Factoring Trinomials of the Form x2 + bx + c 4.3 Factoring Trinomials of the Form ax2 + bx + c 4.4 Difference of Squares and Perfect Square Trinomials 4.5 Strategies in Factoring 4.6 Solving Quadratic Equations by Factoring 5 Rational Expressions 5.1 Simplifying Rational Expressions 5.2 Multiplying and Dividing Rational Expressions 5.3 Adding and Subtracting Like Rational Expressions 5.4 Adding and Subtracting Unlike Rational Expressions 5.5 Complex Rational Expressions 5.6 Equations Involving Rational Expressions 5.7 Applications of Rational Expressions 6 An Introduction to Graphing 6.1 Solutions of Equations in Two Variables 6.2 The Rectangular Coordinate System 6.3 Graphing Linear Equations 6.4 The Slope of a Line 6.5 Reading Graphs 7 Graphing and Inequalities 7.1 The Slope-Intercept Form 7.2 Parallel and Perpendicular Lines 7.3 The Point-Slope Form 7.4 Graphing Linear Inequalities 7.5 An Introduction to Functions 8 Systems of Linear Equations 8.1 Systems of Linear Equations: Solving by Graphing 8.2 Systems of Linear Equations: Solving by the Addition Method 8.3 Systems of Linear Equations: Solving by Substitution 8.4 Systems of Linear Inequalities 9 Exponents and Radicals 9.1 Roots and Radicals 9.2 Simplifying Radical Expressions 9.3 Adding and Subtracting Radicals 9.4 Multiplying and Dividing Radicals 9.5 Solve Radical Equations 9.6 Applications of the Pythagorean Theorem 10 Quadratic Equations 10.1 More on Quadratic Equations 10.2 Completing the Square 10.3 The Quadratic Formula 10.4 Graphing Quadratic Equations New BEGINNING ALGEBRA Second Edition By Julie Miller and Molly O Neill of Daytona Beach Community College 2008 (January 2007) ISBN-13: / MHID: Building on its first-edition success, Beginning Algebra 2/e by Miller/O Neill continues to offer an enlightened approach grounded in the fundamentals of classroom experience. The practice of many instructors in the classroom is to present examples and have their students solve similar problems. This is realized through the Skill Practice Exercises that directly follow the examples in the textbook. Throughout the text, the authors have integrated many Study Tips and Avoiding Mistakes hints, which are reflective of the comments and instruction presented to students in the classroom. In this way, the text communicates to students, the very points their instructors are likely to make during lecture, helping to reinforce the concepts and provide instruction that leads students to mastery and success. The authors included in this edition, Problem-Recognition exercises, that many instructors will likely identify to be similar to worksheets they have personally developed for distribution to students. The intent of the Problem-Recognition exercises, is to help students overcome what is sometimes a natural inclination toward applying problemsolving algorithms that may not always be appropriate. In addition, the exercise sets have been revised to include even more core exercises than were present in the first edition. This permits instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills and develop the knowledge they need to make a successful transition into Intermediate Algebra. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class, as they do inside class with their instructor. For even more support, students have access to a wealth of supplements, including McGraw-Hill s online homework management system, MathZone. New to this edition NEW! Problem Recognition Exercises Developmental math students are sometimes conditioned into algorithmic thinking to the point where they want to automatically apply various algorithms to solve problems, whether it is meaningful or not. These exercises were built to decondition students from falling into that trap. Carefully crafted by the authors, the exercises focus on the situations where students most often get mixed-up. Working the Problem Recognition Exercises, students become conditioned to Stop, Think, and Recall what method is most appropriate to solve each problem in the set. NEW! Skill Practice exercises follow immediately after the examples in the text. Answers are provided so students can check their work. By utilizing these exercises, students can test their understanding of the various problem-solving techniques given in the examples. NEW! The section-ending Practice Exercises are newly revised, with even more core exercises appearing per exercise set. Many of the exercises are grouped by section objective, so students can refer back to content within the section if they need some assistance in completing homework. Review Problems appear at the beginning 14

18 DEVELOPMENTAL MATHEMATICS of most Practice Exercise Sets to help students improve their study habits and to improve their long-term retention of concepts previously introduced. NEW! Mixed Exercises are found in many of the Practice Exercise sets. The Mixed Exercises contain no references to objectives. In this way, students are expected to work independently without prompting--which is representative of how they would work through a test or exam. NEW! Study Skills Exercises appear at the beginning of the Practice Exercises, where appropriate. They are designed to help students learn techniques to improve their study habits including exam preparation, note taking, and time management. NEW! The Chapter Openers now include a variety of puzzles that may be used to motivate lecture. Each puzzle is based on key vocabulary terms or concepts that are introduced in the chapter. Chapter R : Reference R.1 Study Tips R.2 Fractions R.3 Decimals and Percents R.4 Introduction to Geometry Chapter 1: Set of Real Numbers 1.1 Sets of Numbers and the Real Number Line 1.2 Order of Operations 1.3 Addition of Real Numbers 1.4 Subtraction of Real Numbers 1.5 Multiplication and Division of Real Numbers 1.6 Properties of Real Numbers and Simplifying Expressions Chapter 2: Linear Equations and Inequalities 2.1 Addition, Subtraction, Multiplication and Division Properties of Equality 2.2 Solving Linear Equations 2.3 Linear Equations: Clearing Fractions and Decimals 2.4 Applications of Linear Equations: Introduction to Problem Solving 2.5 Applications Involving Percents 2.6 Formulas and Applications of Geometry 2.7 Linear Inequalities Chapter 3: Graphing Linear Equations in Two Variables 3.1 Rectangular Coordinate System 3.2 Linear Equations in Two Variables 3.3 Slope of a Line 3.4 Slope-Intercept Form of a Line 3.5 Point-Slope Formula 3.6 Applications of Linear Equations Chapter 4: Systems of Linear Equations and Inequalities in Two Variables 4.1 Solving Systems of Equations by the Graphing Method 4.2 Solving Systems of Equations by the Substitution Method 4.3 Solving Systems of Equations by the Addition Method 4.4 Applications of Linear Equations in Two Variables 4.5 Linear Inequalities in Two Variables 4.6 Systems of Linear Inequalities in Two Variables Chapter 5: Polynomials and Properties of Exponents 5.1 Exponents: Multiplying and Dividing Common Bases 5.2 More Properties of Exponents 5.3 Definitions of b^0 and b^-n 5.4 Scientific Notation 5.5 Addition and Subtraction of Polynomials 5.6 Multiplication of Polynomials 5.7 Division of Polynomials Chapter 6: Factoring Polynomials 6.1 Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Form x^2+ bx+ c (optional) 6.3 Factoring Trinomials: Trial-and-Error Method 6.4 Factoring Trinomials: AC Method 6.5 Factoring Binomials 6.6 General Factoring Summary 6.7 Solving Equations Using the Zero Product Rule Chapter 7: Rational Expressions 7.1 Introduction to Rational Expressions 7.2 Multiplication and Division of Rational Expressions 7.3 Least Common Denominator 7.4 Addition and Subtraction of Rational Expressions 7.5 Complex Fractions 7.6 Rational Equations 7.7 Applications of Rational Equations and Proportions 7.8 Variations Chapter 8: Radicals 8.1 Introducion to Roots and Radicals 8.2 Simplifying Radicals 8.3 Addition and Subtraction of Radicals 8.4 Multiplication of Radicals 8.5 Rationalization 8.6 Radical Equations 8.7 Exponents Chapter 9: Functions, Complex Numbers, and Quadratic Equations 9.1 Introduction to Functions 9.2 Complex Numbers 9.3 The Square Root Property and Completing the Square 9.4 Quadratic Formula 9.5 Graphing Quadratic Functions INTRODUCTORY ALGEBRA By Julie Miller, Daytona Beach Community College-Daytona Beach, Molly O Neill, Daytona Beach Community College-Daytona Beach, and Nancy Hyde, Broward Community College 2007 (January 2006) ISBN-13: / MHID: (with MathZone, Softcover) ISBN-13: / MHID: (with MathZone, Hardcover) ISBN-13: / MHID: (MP, Softcover) ISBN-13: / MHID: X (MP, Hardcover) Introductory Algebra offers a refreshing approach to the traditional content of the course. Presented in worktext format, Introductory Algebra focuses on solving equations and inequalities, graphing, polynomials, factoring, rational expressions, and radicals. Other topics include quadratic equations and an introduction to functions and complex numbers. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students. R Reference: Fractions, Decimals, Percents, Geometry, and Study Skills 1 The Set of Real Numbers 2 Linear Equations and Inequalities 3 Graphing Linear Equations in Two Variables 4 Systems of Linear Equations in Two Variables 5 Polynomials and Properties of Exponents 6 Factoring Polynomials 7 Rational Expressions 8 Radicals 9 Complex Numbers and Quadratic Equations 15

19 DEVELOPMENTAL MATHEMATICS BOB MILLER S ALGEBRA FOR THE CLUELESS Second Edition By Bob Miller, City College of the City University of New York 2007 (July 2006) / 240 pages ISBN-13: / MHID: A Professional Publication A is for Algebra-and that s the grade you ll pull when you use Bob Miller s simple guide to the math course every college-bound kid must take. With eight books and more than 30 years of hard-core classroom experience, Bob Miller is the frustrated student s best friend. He breaks down the complexities of every problem into easy-to-understand pieces that any math-phobe can understand-and this fully updated second edition of Bob Miller s Algebra for the Clueless covers everything a you need to know to excel in Algebra I and II. TO THE STUDENT Chapter 1: Natural Numbers and Introductory Terms Chapter 2: Integers Plus More Chapter 3: First-Degree Equations Chapter 4: Problems with Words: Why So Many Students Have Problems on the SAT Chapter 5: Factoring Chapter 6: Algebraic Fractions Chapter 7: Radicals and Exponents Chapter 8: Quadratics Chapter 9: Points, Lines, and Planes Chapter 10: Odds and Ends Chapter 11: Miscellaneous Miscellany APPENDIX 1: FRACTIONS, DECIMALS, PERCENTS, AND GRAPHS APPENDIX 2: SETS ACKNOWLEDGMENTS ABOUT BOB MILLER: IN HIS OWN WORDS INDEX ALGEBRA DEMYSTIFIED By Rhonda Huettenmueller 2003 / 349 pages ISBN-13: / MHID: A Professional Publication Preface CHAPTER 1: Fractions CHAPTER 2: Introduction to Variables CHAPTER 3: Decimals CHAPTER 4: Negative Numbers CHAPTER 5: Exponents and Roots CHAPTER 6: Factoring CHAPTER 7: Linear Equations CHAPTER 8: Linear Applications CHAPTER 9: Linear Inequalities CHAPTER 10: Quadratic Equations CHAPTER 11: Quadratic Applications Appendix. Final Review. Index Beginning/Intermediate Algebra Combined New International Edition SCHAUM S OUTLINE OF ELEMENTARY ALGEBRA Third Edition By Barnett Rich (deceased); Philip Schmidt, State University College New Paltz 2004 / 400 pages ISBN-13: / MHID: X A Schaum s Publication This third edition of the perennial bestseller defines the recent changes in how the discipline is taught and introduces a new perspective on the discipline. New material in this third edition includes: A modernized section on trigonometry An introduction to mathematical modeling Instruction in use of the graphing calculator 2,000 solved problems 3,000 supplementary practice problems and more ELEMENTARY AND INTERMEDIATE ALGEBRA Third Edition By Mark Dugopolski 2009 (January 2008) ISBN-13: / MHID: ISBN-13: / MHID: [IE] Browse: Elementary & Intermediate Algebra, 3e is part of the latest offerings in the successful Dugopolski series in mathematics. The author s goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language. The author uses concrete analogies to relate math to everyday experiences. For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that the price of a hamburger plus a Coke is the same as a Coke plus a hamburger. Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic. Dugopolski includes a double crossreferencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications. The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other 16

20 DEVELOPMENTAL MATHEMATICS developmental math series on the market. In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses. The book is accompanied by numerous useful supplements, including McGraw-Hill s online homework management system, MathZone. New to this edition Subsection heads are now in the end of section exercise sets, and section heads are now in the Chapter Review Exercises. References to page numbers on which Strategy Boxes are located have been inserted into the direction lines for the exercises when appropriate. Study tips have been removed from the margins to give the pages a better look. Two study tips now precede each exercise set. McGraw-Hill s MathZone is a complete, online tutorial and course management system for mathematics and statistics, designed for greater ease of use than any other system available. Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse. All instructor teaching resources are accessed online, as well as student assignments, questions, e-professors, online tutoring and video lectures which are directly tied to text specific material. MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments. MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing. Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel. Go to to learn more. TO THE STUDENT PREFACE 1 Real Numbers and Their Properties 1.1 The Real Numbers 1.2 Fractions 1.3 Addition and Subtraction of Real Numbers 1.4 Multiplication and Division of Real Numbers 1.5 Exponential Expressions and the Order of Operations 1.6 Algebraic Expressions 1.7 Properties of the Real Numbers 1.8 Using the Properties to Simplify Expressions Chapter 1 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 1 Test Critical Thinking 2 Linear Equations and Inequalities in One Variable 2.1 The Addition and Multiplication Properties of Equality 2.2 Solving General Linear Equations 2.3 More Equations 2.4 Formulas 2.5 Translating Verbal Expressions into Algebraic Expressions 2.6 Number, Geometric, and Uniform Motion Applications 2.7 Discount, Investment, and Mixture Applications 2.8 Inequalities 2.9 Solving Inequalities and Applications Chapter 2 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 2 Test Making Connections: A review of Chapters 1-2 Critical Thinking 3 Linear Equations and Inequalities in Two Variables 3.1 Graphing Lines in the Coordinate Plane 3.2 Slope 3.3 Equations of Lines in Slope-Intercept Form 3.4 The Point-Slope Form 3.5 Variations 3.6 Graphing Linear Inequalities in Two Variables Chapter 3 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 3 Test Making Connections: a review of Chapters 1-3 Critical Thinking 4 Exponents and Polynomials 4.1 The Rules of Exponents 4.2 Negative Exponents and Scientific Notation 4.3 Addition and Subtraction of Polynomials 4.4 Multiplication of Polynomials 4.5 Multiplication of Binomials 4.6 Special Products 4.7 Division of Polynomials Chapter 4 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 4 Test Making Connections: a review of Chapters 1-4 Critical Thinking 5 Factoring 5.1 Factoring Out Common Factors 5.2 Special Products and Grouping 5.3 Factoring the Trinomial ax² + bx + c with a = Factoring the Trinomial ax² + bx + c with a The Factoring Strategy 5.6 Solving Quadratic Equations by Factoring Chapter 5 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 5 Test Making Connections: a review of Chapters 1-5 Critical Thinking 6 Rational Expressions 6.1 Reducing Rational Expressions 6.2 Multiplication and Division 6.3 Finding the Least Common Denominator 6.4 Addition and Subtraction 6.5 Complex Fractions 6.6 Solving Equations Involving Rational Expressions 6.7 Applications of Ratios and Proportions 6.8 Applications of Rational Expressions Chapter 6 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 6 Test Making Connections: a review of Chapters 1-6 Critical Thinking 7 Systems of Linear Equations 7.1 Solving Systems by Graphing and Substitution 7.2 The Addition Method 7.3 Systems of Linear Equations in Three Variables Chapter 7 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 7 Test Making Connections: a review of Chapters 1-7 Critical Thinking 8 More on Inequalities 8.1 Compound Inequalities in One Variable 8.2 Absolute Value Equations and Inequalities 17

21 DEVELOPMENTAL MATHEMATICS 8.3 Compound Inequalities in Two Variables 8.4 Linear Programming Chapter 8 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 8 Test Making Connections: a review of Chapters 1-8 Critical Thinking 9 Radicals and Rational Exponents 9.1 Radicals 9.2 Rational Exponents 9.3 Adding, Subtracting, and Multiplying Radicals 9.4 Quotients, Powers, and Rationalizing Denominators 9.5 Solving Equations with Radicals and Exponents 9.6 Complex Numbers Chapter 9 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 9 Test Making Connections: a review of Chapters 1-9 Critical Thinking 10 Quadratic Equations and Inequalities 10.1 Factoring and Completing the Square 10.2 The Quadratic Formula 10.3 More on Quadratic Equations 10.4 Graphing Parabolas 10.5 Quadratic and Rational Inequalities Chapter 10 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 10 Test Making Connections: a review of Chapters 1-10 Critical Thinking 11 Functions 11.1 Functions and Relations 11.2 Graphs of Functions and Relations 11.3 Transformations of Graphs 11.4 Graphs of Polynomial Functions 11.5 Graphs of Rational Functions 11.6 Combining Functions 11.7 Inverse Functions Chapter 11 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 11 Test Making Connections: a review of Chapters 1-11 Critical Thinking 12 Exponential and Logarithmic Functions 12.1 Exponential Functions and Their Applications 12.2 Logarithmic Functions and Their Applications 12.3 Properties of Logarithms 12.4 Solving Equations and Applications Chapter 12 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 12 Test Making Connections: a review of Chapters 1-12 Critical Thinking 13 Nonlinear Systems and the Conic Sections 13.1 Nonlinear Systems of Equations 13.2 The Parabola 13.3 The Circle 13.4 The Ellipse and Hyperbola 13.5 Second-Degree Inequalities Chapter 13 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 13 Test Making Connections: a review of Chapters 1-13 Critical Thinking 14 Sequences and Series 14.1 Sequences 14.2 Series 14.3 Arithmetic Sequences and Series 14.4 Geometric Sequences and Series 14.5 Binomial Expansions Chapter 14 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 14 Test Making Connections: A Review of Chapter 1-14 Critical Thinking Appendix A: Geometry Review Exercises Appendix B: Sets Appendix C: Chapters 1-6 Diagnostic Test Appendix D: Chapters 1-6 Review Answers to Selected Exercises Index New BEGINNING AND INTERMEDIATE ALGEBRA Second Edition By Sherri Messersmith, College of Dupage 2009 (February 2008) ISBN-13: / MHID: Browse: Beginning and Intermediate Algebra, 2e, by Messersmith is the first text in a series of future offerings in developmental mathematics. The author presents the content in bite-size pieces, focusing not only on how to solve mathematical concepts, but also explaining the why behind those concepts. For students, learning mathematics is not just about the memorization of concepts and formulas, but it is also about the journey of learning how to problem solve. By breaking the sections down into manageable chunks, the author has identified the core places where students traditionally struggle, and then assists them in understanding that material to be successful moving forward. Proven pedagogical features, such as You Try problems after each example, reinforce a student s mastery of a concept. While teaching in the classroom, Messersmith has created worksheets for each section that fall into three categories: review worksheets/basic skills, worksheets to teach new content, and worksheets to reinforce/pull together different concepts. These worksheets are a great way to both enhance instruction and to give the students more tools to be successful in studying a given topic. The author is also an extremely popular lecturer, and finds it important to be in the video series that accompany her texts. Finally, the author finds it important to not only provide quality, but also an abundant quantity of exercises and applications. The book is accompanied by numerous useful supplements, including McGraw-Hill s online homework management system, MathZone. Messersmith mapping the journey to mathematical success! New to this edition Mid-Chapter Summary: Several chapters contain a Mid-Chapter Summary section. In keeping with the author s philosophy of breaking sections into manageable chunks, Messersmith includes a midchapter summary where needed to help the student to synthesize key topics before moving onto the rest of the chapter. Worksheets: There are worksheets for each section that fall into three categories: review worksheets/basic skills, worksheets 18

22 DEVELOPMENTAL MATHEMATICS to teach new content, and worksheets to reinforce/pull together different concepts. These worksheets are a great way to both enhance instruction and to give the students more tools to be successful in studying a given topic. These will be available online through MathZone. In-Class Examples: In order to give the instructors additional material to use in the classroom, a matching In-Class Example is provided in the margin of the AIE for every example in the book. You Try Problems: After nearly every example, there is a You Try problem that mirrors that example. This provides students with the opportunity to practice a problem similar to what the instructor has presented before moving on to the next concept. Answers are provided at the end of the section for immediate feedback. Chapter-Opening Vignettes: Each chapter opens with a realworld vignette to capture the student s attention and engage them in the upcoming material. The openers fall into five different themes for consistency sake. Learning Objectives are clearly identified at the beginning of each section. The objectives then appear within the body of the text, showing when a particular objective is about to be developed. References are also included within the exercise sets to help students quickly reference related material if they need more practice. Be Careful Boxes: There are some mistakes that are very common for students to make. The Be Careful! boxes make students aware of these common errors so that, hopefully, they will not make these mistakes themselves. Using Technology Boxes: For those instructors who want to make use of graphing calculator-related material, Using Technology Boxes are included at the ends of sections where relevant. For those instructors who don t want to use this material, they are easily skipped. End-of-Section Exercise: The end-of-section exercise sets have been organized similarly to the examples they are presented from the most basic to the most rigorous so that students may see how the concepts work at the simplest level before progressing to more difficult problems. Messersmith has incorporated interesting real-world, up-to-date, relevant information that will appeal to students of all backgrounds into the applications in the book. Students have identified a number of the problems as interesting and fun in previous use. Within these exercises, students and faculty will find video, calculator, and writing exercise icons. Chapter Summary: The comprehensive Summaries at the end of each chapter enable students to review important concepts. A definition or concept is presented, along with a related example and a page reference from the relevant section. End-of-Chapter Material: At the end of each chapter, you will find a set of Review Exercises, a Chapter Test, and a comprehensive Cumulative Review (starting with Chapter 2.) Geometry Review: Chapter 1 includes a review of basic concepts from geometry. Throughout beginning and intermediate algebra courses, students need to know these basics, but many do not. Section 1.3 provides the material necessary for faculty to teach & students to practice the geometry concepts they will later in the course. The book also includes geometry applications where appropriate. Functions Coverage: In response to reviewer feedback, functions are now introduced beginning in chapter 4, and then integrated in subsequent chapters as appropriate. Beginning Algebra Review Appendix: Also as a result of reviewer feedback, Messersmith has now included a Beginning Algebra review in an appendix to bridge the gap to Intermediate Algebra for those who need it. It is included as an Appendix so that the instructor can use it where best fits their curriculum. McGraw-Hill s MathZone is a complete, online tutorial and course management system for mathematics and statistics, designed for greater ease of use than any other system available. Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse. All instructor teaching resources are accessed online, as well as student assignments, questions, e-professors, online tutoring and video lectures which are directly tied to text specific material. MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments. MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing. Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel. Go to to learn more. Chapter 1: The Real Number System and Geometry Section 1.1 Review of Fractions Section 1.2 Exponents and Order of Operations Section 1.3 Geometry Review Section 1.4 Sets of Numbers and Absolute Value Section 1.5 Addition and Subtraction of Real Numbers Section 1.6 Multiplication and Division of Real Numbers Section 1.7 Algebraic Expressions and Properties of Real Numbers Chapter 2: Variables and Exponents Section 2.1 Simplifying Expressions Section 2.2a The Product Rule and Power Rules for Exponents Section 2.2b Combining the Rules Section 2.3a Integer Exponents with Real-Number Bases Section 2.3b Integer Exponents With Variable Bases Section 2.4 The Quotient Rule Mid-Chapter Summary Section 2.5 Scientific Notation Chapter 3: Linear Equations and Inequalities Section 3.1 Solving Linear Equations Part I Section 3.2 Solving Linear Equations Part II Section 3.3 Applications of Linear Equations to General Problems, Consecutive Integers, and Fixed and Variable Cost Section 3.4 Applications of Linear Equations to Percent Increase/ Decrease and Investment Problems Section 3.5 Geometry Applications and Solving Formulas for a Specific Variable Section 3.6 Applications of Linear Equations to Proportions, d = rt, and Mixture Problems Section 3.7 Solving Linear Inequalities in One Variable Section 3.8 Solving Compound Inequalities Chapter 4: Linear Equations in Two Variables Section 4.1 Introduction to Linear Equations in Two Variables Section 4.2 Graphing by Plotting Points and Finding Intercepts Section 4.3 The Slope of a Line Section 4.4 The Slope-Intercept Form of a Line Section 4.5 Writing an Equation of a Line Section 4.6 Parallel and Perpendicular Lines Section 4.7 Introduction to Functions Section 4.8 Function Notation and Linear Functions Chapter 5: Solving Systems of Linear Equations Section 5.1 Solving Systems by Graphing Section 5.2 Solving Systems by Substitution Section 5.3 Solving Systems by the Elimination Method Mid-Chapter Summary Section 5.4 Applications of Systems of Two Equations Section 5.5 Systems of Linear Equations in Three Variables Chapter 6: Polynomials Section 6.1 Review of Rules of Exponents Section 6.2 Addition and Subtraction of Polynomials Section 6.3 Multiplication of Polynomials Section 6.4 Division of Polynomials Chapter 7: Factoring Polynomials Section 7.1 The Greatest Common Factor and Factoring by Grouping 19

23 DEVELOPMENTAL MATHEMATICS Section 7.2 Factoring Trinomials of the Form x^2 + bx + c Section 7.3 Factoring Polynomials of the Form ax^2 + bx + c (a not equal to 1) Section 7.4 Factoring Binomials and Perfect Square Trinomials Mid-Chapter Summary Section 7.5 Solving Quadratic Equations by Factoring Section 7.6 Applications of Quadratic Equations Chapter 8: Rational Expressions Section 8.1 Simplifying Rational Expressions Section 8.2 Multiplying and Dividing Rational Expressions Section 8.3 Finding the Least Common Denominator Section 8.4 Adding and Subtracting Rational Expressions Mid-Chapter Summary Section 8.5 Simplifying Complex Fractions Section 8.6 Solving Rational Equations Section 8.7 Applications Chapter 9: Absolute Value Equations and Inequalities Section 9.1 Solving Absolute Value Equations Section 9.2 Solving Absolute Value Inequalities Section 9.3 Linear Inequalities in Two Variables Section 9.4 Solving Systems of Equations Using Matrices Chapter 10: Radicals and Rational Exponents Section 10.1 Finding Roots Section 10.2 Rational Exponents Section 10.3 Simplifying Expressions Containing Square Roots Section 10.4 Simplifying Expressions Containing Higher Roots Section 10.5 Adding and Subtracting Radicals Section 10.6 Combining Multiplication, Addition, and Subtraction of Radicals Section 10.7 Dividing Radicals Section 10.8 Solving Radical Equations Chapter 11: Quadratic Equations Section 11.1 Review of Solving Equations by Factoring Section 11.2 Solving Quadratic Equations Using the Square Root Property Section 11.3 Complex Numbers Section 11.4 Solving Quadratic Equations by Completing the Square Section 11.5 Solving Quadratic Equations Using the Quadratic Formula Mid-Chapter Summary Section 11.6 Equations in Quadratic Form Section 11.7 Formulas and Applications Chapter 12: Functions and their Graphs Section 12.1 Relations and Functions Section 12.2 Graphs of Functions and Transformations Section 12.3 Quadratic Functions and their Graphs Section 12.4 Applications of Quadratic Functions and Graphing Other Parabolas Section 12.5 The Algebra of Functions Section 12.6 Variation Chapter 13: Inverse, Exponential, and Logarithmic Functions Section 13.1 Inverse Functions Section 13.2 Exponential Functions Section 13.3 Logarithmic Functions Section 13.4 Properties of Logarithms Section 13.5 Common and Natural Logarithms and Change of Base Section 13.6 Solving Exponential and Logarithmic Equations Chapter 14: Conic Sections, Nonlinear Inequalities, and Nonlinear Systems Section 14.1 The Circle Section 14.2 The Ellipse and the Hyperbola Mid-Chapter Summary Section 14.3 Nonlinear Systems of Equations Section 14.4 Quadratic and Rational Inequalities Chapter 15: Sequences and Series **Available online** Section 15.1 Sequences and Series Section 15.2 Arithmetic Sequences and Series Section 15.3 Geometric Sequences and Series Section 15.4 The Binomial Theorem Appendix: Beginning Algebra Review New BEGINNING AND INTERMEDIATE ALGEBRA 2nd Edition By James Hall and Brian Mercer of Parkland College 2008 (January 2007) ISBN-13: / MHID: Intended for schools that want a single text covering the standard topics from Beginning and Intermediate Algebra. Topics are organized by using the principles of the AMATYC standards as a guide, giving strong support to teachers using the text. The book s organization and pedagogy are designed to work for students with a variety of learning styles and for teachers with varied experiences and backgrounds. The inclusion of multiple perspectives--verbal, numerical, algebraic, and graphical--has proven popular with a broad cross section of students. Use of a graphing calculator is assumed. BEGINNING AND INTERMEDIATE ALGEBRA: THE LANGUAGE AND SYMBOLISM OF MATHEMATICS is a reform-oriented book. New to this edition More Emphasis on Functions-- Chapters 7-11 will have more of a functions emphasis than in the first edition of Beginning & Intermediate Algebra. More Exercises! New exercises have been added throughout the text. Data has also been updated/revised to reflect more current information in some problems. Revised Page Layout--Some of the key pedigogical features have been rearranged throughout the chapters. The Self-Check answers now appear at the end of each section (not on the same page as the questions), and several of the side notes have been moved to the main text. Chapter One: Review of Beginning Algebra 1.1 Preparing for an Algebra Class 1.2 The Real Number Line 1.3 Addition of Real Numbers 1.4 Subtraction of Real Numbers 1.5 Multiplication of Real Numbers and Natural Number Exponents 1.6 Division of Real Numbers 1.7 Order of Operations Chapter Two: Linear Equations and Patterns 2.1 The Rectangular Coordinate System and Arithmetic Sequences 2.2 Function Notation and Linear Functions 2.3 Graphs of Linear Equations in Two Variables 2.4 Solving Linear Equations in One Variable Using the Addition- Subtraction Principle 2.5 Solving Linear Equations in One Variable Using the Multiplication- Division Principle 2.6 Using and Rearranging Formulas 2.7 Proportions and Direct Variation 2.8 More Applications of Linear Equations Chapter Three: Lines and Systems of Linear Equations in Two Variables 3.1 Slope of a Line and Applications of Slope 3.2 Special Forms of Linear Equations in Two Variables 3.3 Solving Systems of Linear Equations in Two Variables Graphically and Numerically 20

24 DEVELOPMENTAL MATHEMATICS 3.4 Solving Systems of Linear Equations in Two Variables by the Substitution Method 3.5 Solving Systems of Linear Equations in Two Variables by the Addition Method 3.6 More Applications of Linear Systems Cumulative Review of Chapters 1-3 Chapter Four: Linear Inequalities and Systems of Linear Inequalities 4.1 Solving Linear Inequalities Using the Addition-Subtraction Principle 4.2 Solving Linear Inequalities Using the Multiplication-Divison Principle 4.3 Solving Compound Inequalities 4.4 Solving Absolute Value Equations and Inequalities 4.5 Graphing Systems of Linear Inequalities in Two Variables Chapter Five: Exponents and Operations with Polynomials 5.1 Product and Power Rules for Exponents 5.2 Quotient Rule and Zero Exponents 5.3 Negative Exponents and Scientific Notation 5.4 Adding and Subtracting Polynomials 5.5 Multiplying Polynomials 5.6 Dividing Polynomials 5.7 Special Products and Factors Cumulative Review of Chapters 1-5 Chapter Six: Factoring Polynomials 6.1 An Introduction to Factoring 6.2 Factoring Trinomials of the Form x2 + bx + c 6.3 Factoring Trinomials of the Form ax2 + bx + c 6.4 Factoring Special Forms 6.5 A General Strategy for Factoring Polynomials 6.6 Solving Equations by Factoring Chapter Seven: Quadratic Functions 7.1 Functions and Representations of Functions 7.2 Quadratic Functions,Parabolas and Modeling Using Quadratic Equations 7.3 Solving Quadratic Equations and Inequalities by Factoring 7.4 Using the Quadratic Formula to find Real Solutions 7.5 More Applications of Quadratic Equations 7.6 Complex Numbers 7.7 Solving Quadratic Equations with Complex Solutions Chapter Eight: Rational Functions 8.1 Properties of the Graphs of Rational Functions and Reducing Rational Expressions 8.2 Multiplying and Dividing Rational Expressions 8.3 Adding and Subtracting Rational Expressions 8.4 Combining Operations and Simplifying Complex Rational Expressions 8.5 Solving Equations Containing Rational Expressions 8.6 Inverse and Joint Variation and Other Applications Yielding Equations with Fractions Cumulative Review of Chapters 1-8 Chapter Nine: Square Root and Cube Root Functions and Rational Exponents 9.1 Evaluating Radical Expressions and Graphing Square Root and Cube Root Functions 9.2 Adding and Subtracting Radical Expressions 9.3 Multiplying and Dividing Radical Expressions 9.4 Solving Equations Containing Radical Expressions 9.5 Rational Exponents and Radicals Chapter Ten: Exponential and Logarithmic Functions 10.1 Geometric Sequences and Properties of the Graphs of Exponential Functions 10.2 Inverse Functions 10.3 Logarithmic Functions 10.4 Evaluating Logarithms 10.5 Properties of Logarithms 10.6 Solving Exponential and Logarithmic Equations 10.7 Exponential Curve Fitting and Other Applications of Exponential and Logarithmic Equations Cumulative Review of Chapters 1-10 Chapter Eleven: A Preview of College Algebra 11.1 Solving Systems of Linear Equations Using Augmented Matrices 11.2 Systems of Linear Equations in Three Variables 11.3 Horizontal and Vertical Translations of the Graphs of Functions 11.4 Stretching, Shrinking and Reflecting Graphs of Functions 11.5 Algebra of Functions 11.6 Sequences, Series and Summation Notation 11.7 Conic Sections New International Edition ELEMENTARY AND INTERMEDIATE ALGEBRA 3rd Edition By Donald Hutchison, Stefan Baratto and Barry Bergman of Clackamas Community College 2008 (February 2007) / 1152 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] ISBN-13: / MHID: (with MathZone) Browse Elementary & Intermediate Algebra, 3/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics. The third edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce beginning and intermediate algebra concepts and put the content in context. The authors use a three-pronged approach (I. Communication, II. Pattern Recognition, and III. Problem Solving) to present the material and stimulate critical thinking skills. Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice. The exercise sets have been expanded, organized, and clearly labeled. Vocational and professional-technical exercises have been added throughout. Repeated exposure to this consistent structure should help advance the student s skills in relating to mathematics. The book is designed for a combined beginning and intermediate algebra course, or it can be used across two courses, and is appropriate for lecture, learning center, laboratory, or selfpaced courses. It is accompanied by numerous useful supplements, including McGraw-Hill s online homework management system, MathZone. New to this edition MAKE THE CONNECTION --Chapter-Opening Vignettes were substantially revised to provide students interesting, relevant scenarios that will capture their attention and engage them in the upcoming material. Furthermore, exercises and Activities related to the Opening Vignettes were added or updated in each chapter. These exercises are marked with a special icon next to them. ACTIVITIES--An Activity is included in each chapter. These Activities promote active learning by requiring students to find, interpret, and manipulate real-world data. The Activity in each chapter relates to the chapter-opening vignette, providing cohesiveness to the chapter. Students can complete the Activities on their own, but are best solved in small groups. READING YOUR TEXT --This new feature is a set of quick exercises presented at the end of each section meant to quiz students vocabulary knowledge. These exercises are designed to encourage careful reading of the text. Answers to these exercises are provided at the end of the book. 21

25 DEVELOPMENTAL MATHEMATICS RESTRUCTURING OF END-OF-SECTION EXERCISES--The comprehensive End-of-Section exercises have been reorganized to more clearly identify the different types of exercises being presented. This structure highlights the progression in level and type of exercise for each section. The application exercises that are now integrated into every section are a crucial component of this organization. GRAPH PAPER INCLUDED--A graph paper card is bound into the back of the book. This perforated card can be torn out and copied as needed by the students, and can be used any time they need to do graphing. An electronic version of the card is available through the book s website in the Information Center. 0 Prealgebra Review 0.1 A Review of Fractions 0.2 Real Numbers 0.3 Adding and Subtracting Real Numbers 0.4 Multiplying and Dividing Real Numbers 0.5 Exponents and Order of Operation 1 From Arithmetic to Algebra 1.1 Transition to Algebra 1.2 Evaluating Algebraic Expressions 1.3 Adding and Subtracting Algebraic Expressions 1.4 Sets 2 Equations and Inequalities 2.1 Solving Equations by Adding and Subtracting 2.2 Solving Equations by Multiplying and Dividing 2.3 Combining the Rules to Solve Equations 2.4 Literal Equations and Their Applications 2.5 Solving Linear Inequalities Using Addition 2.6 Solving Linear Inequalities Using Multiplication 2.7 Solving Absolute Value Equations (Optional) 2.8 Solving Absolute Value Inequalities (Optional) 3 Graphs and Linear Equations 3.1 Solutions of Equations in Two Variables 3.2 The Cartesian Coordinate System 3.3 The Graph of a Linear Equation 3.4 The Slope of a Line 3.5 Forms of Linear Equations 3.6 Graphing Linear Inequalities in Two Variables 4 Exponents and Polynomials 4.1 Positive Integer Exponents 4.2 Zero and Negative Exponents and Scientific Notation 4.3 Introduction to Polynomials 4.4 Addition and Subtraction of Polynomials 4.5 Multiplication of Polynomials and Special Products 4.6 Division of Polynomials 5 Factoring Polynomials 5.1 An Introduction to Factoring 5.2 Factoring Special Polynomials 5.3* Factoring Trinomials: Trial and Error 5.4 Factoring Trinomials: The ac method 5.5 Strategies in Factoring 5.6 Solving Quadratic Equations by Factoring 5.7 Problem Solving with Factoring 6 A Beginning Look at Functions 6.1 Relations and Functions 6.2 Tables and Graphs 6.3 Algebra of Functions 6.4 Composition of Functions 6.5 Substitution and Synthetic Division R A Review of Elementary Algebra R.1 From Arithmetic to Algebra R.2 Equations and Inequalities R.3 Graphs and Linear Equations R.4 Exponents and Polynomials R.5 A Beginning Look at Functions R.6 Factoring Polynomials 7 Rational Expressions 7.1 Simplifying Rational Expressions 7.2 Multiplication and Division of Rational Expressions 7.3 Addition and Subtraction of Rational Expressions 7.4 Complex Fractions 7.5 Solving Rational Expressions 7.6 Solving Rational Inequalities 8 Systems of Linear Equations and Inequalities 8.1 Solving Systems of Linear Equations by Graphing 8.2 Systems of Equations in Two Variables with Applications 8.3 Systems of Linear Equations in Three Variables 8.4 Systems of Linear Inequalities in Two Variables 8.5 Matrices (Optional) 9 Graphical Solutions 9.1 Solving Equations in One Variable Graphically 9.2 Solving Linear Inequalities in One Variable Graphically 9.3 Solving Absolute Value Equations Graphically 9.4 Solving Absolute Value Inequalities Graphically 10 Radicals and Exponents 10.1 Roots and Radicals 10.2 Simplifying Radical Expressions 10.3 Operations on Radical Expressions 10.4 Solving Radical Equations 10.5 Rational Exponents 10.6 Complex Numbers 11 Quadratic Functions 11.1 Solving Quadratic Equations by Completing the Square 11.2 The Quadratic Formula 11.3 An Introduction to the Parabola 11.4 Solving Quadratic Inequalities 12 Conic Sections 12.1 Conic Sections and the Circle 12.2 Ellipses 12.3 Hyperbolas 13 Exponential and Logarithmic Functions 13.1 Inverse Relations and Functions 13.2 Exponential Functions 13.3 Logarithmic Functions 13.4 Properties of Logarithms 13.5 Logarithmic and Exponential Equations / Appendix A / Appendix A.1 Determinants and Cramer s Rule Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES 22

26 DEVELOPMENTAL MATHEMATICS New ELEMENTARY AND INTERMEDIATE ALGEBRA Alternate Hardcover Edition, Third Edition By Donald Hutchinson, Stefan Baratto and Barry Bergman of Clackamas Community College 2008 (February 2007) ISBN-13: / MHID: A Unified Text That Serves Your Needs. Most colleges offering elementary and intermediate algebra use two different texts, one for each course. As a result, students may be required to purchase two texts; this can result in a considerable amount of topic overlap. Over the last few years, several publishers have issued combined texts that take chapters from two texts and merge them into a single book. This has allowed students to purchase a single text, but it has done little to reduce the overlap. The goal of this author team has been to produce a text that was more than a combined text. They wanted to unify the topics and themes of beginning and intermediate algebra in a fluid, non-repetitive text. We also wanted to produce a text that will prepare students from different mathematical backgrounds for college algebra. We believe we have accomplished our goals. For students entering directly from an arithmetic or pre-algebra course, this is a text that contains all of the material needed to prepare for college algebra. It can be offered in two quarters or in two semesters. The new Review Chapter found between chapters 6 and 7 serves as a mid-book review for students preparing to take a final exam that covers the first seven chapters. Finally, we have produced a text that will accommodate those students placing into the second term of a two-term sequence. Here is where the Review Chapter is most valuable. It gives the students an opportunity to check that they have all of the background required to begin in Chapter 7. If the students struggle with any of the material in the Review Chapter, they are referred to the appropriate section for further review. New to this edition A new Review Chapter replaces Moving to the Intermediate Algebra Level. The Review Chapter provides a concise, comprehensive review of chapters 1 through 6. The chapter contains review exercises and section references. Overcoming Math Anxiety Boxes - Located within the first few chapters are suggestions on overcoming math anxiety. These suggestions are designed to be timely and useful, The are the same suggestions most instructors make in class, but sometimes those words are given extra weight when students see them in print. The chapter on functions now follows the chapter on polynomials. Several new sections have been added to the text: Problem Solving with Factoring A General Strategy for Factoring Rational Functions Solving Radical Equations 0 Prealgebra Review 0.1 A Review of Fractions 0.2 Real Numbers 0.3 Adding and Subtracting Real Numbers 0.4 Multiplying and Dividing Real Numbers 0.5 Exponents and Order of Operation 1 From Arithmetic to Algebra 1.1 Transition to Algebra 1.2 Evaluating Algebraic Expressions 1.3 Adding and Subtracting Algebraic Expressions 1.4 Sets 2 Equations and Inequalities 2.1 Solving Equations by Adding and Subtracting 2.2 Solving Equations by Multiplying and Dividing 2.3 Combining the Rules to Solve Equations 2.4 Literal Equations and Their Applications 2.5 Solving Linear Inequalities Using Addition 2.6 Solving Linear Inequalities Using Multiplication 2.7 Solving Absolute Value Equations (Optional) 2.8 Solving Absolute Value Inequalities (Optional) 3 Graphs and Linear Equations 3.1 Solutions of Equations in Two Variables 3.2 The Cartesian Coordinate System 3.3 The Graph of a Linear Equation 3.4 The Slope of a Line 3.5 Forms of Linear Equations 3.6 Graphing Linear Inequalities in Two Variables 4 Exponents and Polynomials 4.1 Positive Integer Exponents 4.2 Zero and Negative Exponents and Scientific Notation 4.3 Introduction to Polynomials 4.4 Addition and Subtraction of Polynomials 4.5 Multiplication of Polynomials and Special Products 4.6 Division of Polynomials 5 Factoring Polynomials 5.1 An Introduction to Factoring 5.2 Factoring Special Polynomials 5.3* Factoring Trinomials: Trial and Error 5.4 Factoring Trinomials: The ac method 5.5 Strategies in Factoring 5.6 Solving Quadratic Equations by Factoring 5.7 Problem Solving with Factoring 6 A Beginning Look at Functions 6.1 Relations and Functions 6.2 Tables and Graphs 6.3 Algebra of Functions 6.4 Composition of Functions 6.5 Substitution and Synthetic Division R A Review of Elementary Algebra R.1 From Arithmetic to Algebra R.2 Equations and Inequalities R.3 Graphs and Linear Equations R.4 Exponents and Polynomials R.5 A Beginning Look at Functions R.6 Factoring Polynomials 7 Rational Expressions 7.1 Simplifying Rational Expressions 7.2 Multiplication and Division of Rational Expressions 7.3 Addition and Subtraction of Rational Expressions 7.4 Complex Fractions 7.5 Solving Rational Expressions 7.6 Solving Rational Inequalities 8 Systems of Linear Equations and Inequalities 8.1 Solving Systems of Linear Equations by Graphing 8.2 Systems of Equations in Two Variables with Applications 8.3 Systems of Linear Equations in Three Variables 8.4 Systems of Linear Inequalities in Two Variables 8.5 Matrices (Optional) 9 Graphical Solutions 9.1 Solving Equations in One Variable Graphically 9.2 Solving Linear Inequalities in One Variable Graphically 9.3 Solving Absolute Value Equations Graphically 9.4 Solving Absolute Value Inequalities Graphically 10 Radicals and Exponents 10.1 Roots and Radicals 10.2 Simplifying Radical Expressions 10.3 Operations on Radical Expressions 10.4 Solving Radical Equations 10.5 Rational Exponents 10.6 Complex Numbers 11 Quadratic Functions 11.1 Solving Quadratic Equations by Completing the Square 11.2 The Quadratic Formula 11.3 An Introduction to the Parabola 23

27 DEVELOPMENTAL MATHEMATICS 11.4 Solving Quadratic Inequalities 12 Conic Sections 12.1 Conic Sections and the Circle 12.2 Ellipses 12.3 Hyperbolas 13 Exponential and Logarithmic Functions 13.1 Inverse Relations and Functions 13.2 Exponential Functions 13.3 Logarithmic Functions 13.4 Properties of Logarithms 13.5 Logarithmic and Exponential Equations Appendix A Appendix A.1 Determinants and Cramer s Rule New BEGINNING AND INTERMEDIATE ALGEBRA 2nd Edition By Julie Miller and Molly O Neill of Daytona Beach CC-Daytona Beach 2008 (January 2007) ISBN-13: / MHID: X Browse: Building on its first-edition success, Beginning & Intermediate Algebra 2/e by Miller/O Neill continues to offer an enlightened approach grounded in the fundamentals of classroom experience. The practice of many instructors in the classroom is to present examples and have their students solve similar problems. This is realized through the Skill Practice Exercises that directly follow the examples in the textbook. Throughout the text, the authors have integrated many Study Tips and Avoiding Mistakes hints, which are reflective of the comments and instruction presented to students in the classroom. In this way, the text communicates to students, the very points their instructors are likely to make during lecture, helping to reinforce the concepts and provide instruction that leads students to mastery and success. The authors included in this edition, Problem-Recognition exercises, that many instructors will likely identify to be similar to worksheets they have personally developed for distribution to students. The intent of the Problem-Recognition exercises, is to help students overcome what is sometimes a natural inclination toward applying problemsovling algorithms that may not always be appropriate. In addition, the exercise sets have been revised to include even more core exercises than were present in the first edition. This permits instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills and develop the knowledge they need to make a successful transition into College Algebra. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class, as they do inside class with their instructor. For even more support, students have access to a wealth of supplements, including McGraw-Hill s online homework management system, MathZone. New to this edition NEW! Problem Recognition Exercises Developmental math students are sometimes conditioned into algorithmic thinking to the point where they want to automatically apply various algorithms to solve problems, whether it is meaningful or not. These exercises were built to decondition students from falling into that trap. Carefully crafted by the authors, the exercises focus on the situations where students most often get mixed-up. Working the Problem Recognition Exercises, students become conditioned to Stop, Think, and Recall what method is most appropriate to solve each problem in the set. NEW! Skill Practice exercises follow immediately after the examples in the text. Answers are provided so students can check their work. By utilizing these exercises, students can test their understanding of the various problem-solving techniques given in the examples. NEW! The section-ending Practice Exercises are newly revised, with even more core exercises appearing per exercise set. Many of the exercises are grouped by section objective, so students can refer back to content within the section if they need some assistance in completing homework. Review Problems appear at the beginning of most Practice Exercise Sets to help students improve their study habits and to improve their long-term retention of concepts previously introduced. NEW! Mixed Exercises are found in many of the Practice Exercise sets. The Mixed Exercises contain no references to objectives. In this way, students are expected to work independently without prompting--which is representative of how they would work through a test or exam. NEW! Study Skills Exercises appear at the beginning of the Practice Exercises, where appropriate. They are designed to help students learn techniques to improve their study habits including exam preparation, note taking, and time management. NEW! The Chapter Openers now include a variety of puzzles that may be used to motivate lecture. Each puzzle is based on key vocabulary terms or concepts that are introduced in the chapter. Classroom Activities are optional exercises that can be worked out in class by individual students, or a group of students who work collaboratively. The Annotated Instructor s Edition refers to the classroom activities, which are found in the Instructor s Resource Manual. Instructors have the option of making the classroom activities available to students for use in class in conjunction with lecture, or for use as extra practice in conjunction with homework. MathZone, accessible via the Internet or through CD-ROM, will allow the instructors and students to get all of the necessary help they need to be successful in the course including state of the art lecture videos, eprofessor practice, many problems from the text algorithmically generated, a unified gradebook and a course built online quickly and easily. MathZone icons will appear throughout the text to tell the student when it s appropriate to go to MathZone to either do the problems, watch the videos, or get extra help. Chapter R: Reference: Study Skills, Fractions, and Geometry R.1 Study Tips R.2 Fractions R.3 Introduction to Geometry Chapter 1: The Set of Real Numbers 1.1 Sets of Numbers and the Real Number Line 1.2 Order of Operations 1.3 Addition of Real Numbers 1.4 Subtraction of Real Numbers Mixed Review Exercises Addition and Subtraction of Real Numbers 1.5 Multiplication and Division of Real Numbers 1.6 Properties of Real Numbers and Simplifying Expressions Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Test Chapter 2: Linear Equations and Inequalities 2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality 2.2 Solving Linear Equations 2.3 Linear Equations: Clearing Fractions and Decimals 2.4 Applications of Linear Equations: Introduction to Problem Solving 24

28 DEVELOPMENTAL MATHEMATICS 2.5 Applications Involving Percents 2.6 Formulas and Applications of Geometry 2.7 Linear Inequalities Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Test Cumulative Review Exercises Chapters 1 2 Chapter 3: Graphing Linear Equations in Two Variables 3.1 Rectangular Coordinate System (BA 2nd ed hardback Section 3.1) 3.2 Linear Equations in Two Variables 3.3 X- and Y-Intercepts, Horizontal and Vertical Lines 3.4 Slope of a Line (BA 2nd ed hardback Section 3.3) 3.5 Slope-Intercept Form of a Line (BA 2nd ed hardback Section 3.4) 3.6 Point-Slope Formula (BA 2nd ed hardback Section 3.5 ) 3.7 Applications of Linear Equations (BA 2nd ed hardback, Section 3.6) Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Test Cumulative Review Exercises Chapters 1 3 Chapter 4: Systems of Linear Equations 4.1 Introduction to Systems of Linear Equations 4.2 Substitution Method 4.3 Addition Method 4.4 Applications of Linear Equations in Two Variables Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Test Cumulative Review Exercises Chapters 1 4 Chapter 5: Polynomials and Properties of Exponents 5.1 Exponents: Multiplying and Dividing Common Bases 5.2 More Properties of Exponents 5.3 Definitions of b0 and b-n 5.4 Scientific Notation Mixed Review Exercises Properties of Exponents 5.5 Addition and Subtraction of Polynomials 5.6 Multiplication of Polynomials 5.7 Division of Polynomials Mixed Review Exercises Operations on Polynomial Chapter 5 Summary Chapter 5 Review Exercises Chapter 5 Test Chapter 6: Factoring Polynomials 6.1 Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the form ax2 + bx + c (Optional) 6.3 Factoring Trinomials: Trial-and-Error Method 6.4 Factoring Trinomials: The Grouping Method 6.5 Factoring Binomials 6.6 General Factoring Summary 6.7 Solving Equations by Using the Zero Product Rule Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Test Cumulative Review Exercises Chapters 1 6 Chapter 7: Rational Expressions 7.1 Introduction to Rational Expressions (this section introduces a definition of domain) 7.2 Multiplication and Division of Rational Expressions 7.3 Least Common Denominator 7.4 Addition and Subtraction of Rational Expressions 7.5 Complex Fractions Mixed Review Exercises Operations on Rational Expressions 7.6 Rational Equations Mixed Review Exercises Comparing Rational Equations and Rational Expressions 7.7 Applications of Rational Equations, Ratios and Proportions Chapter 7 Summary Chapter 7 Review Exercises Chapter 7 Test Cumulative Review Exercises Chapters 1 7 Chapter 8: Introduction to Relations and Functions 8.1 Review of Graphing 8.2 Introduction to Relations 8.3 Introduction to Functions 8.4 Graphs of Basic Functions 8.5 Variation Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Test Cumulative Review Exercises, Chapters 1 8 Chapter 9: Systems of Linear Equations in Three Variables 9.1 Systems of Linear Equations in Three Variables 9.2 Applications of Systems of Equations in Three Variables 9.3 Solving systems of Linear Equations Using Matrices IA 2e hardcover, Determinants and Cramer s Rule (combined 8.7 or 2nd ed hard IA appendix A.2) Chapter 9 Summary Chapter 9 Review Exercises Chapter 9 Test Cumulative Review Exercises, Chapters 1 9 Chapter 10: More Equations and Inequalities 10.1 Compound Inequalities 10.2 Polynomial and Rational Inequalities 10.3 Absolute Value Equations 10.4 Absolute Value Inequalities Mixed Review Exercises Equations and Inequalities 10.5 Linear Inequalities in Two Variables Chapter 10 Summary Chapter 10 Review Exercises Chapter 10 Test Cumulative Review Exercises, Chapters 1 10 Chapter 11: Radicals and Complex Numbers 11.1 Definition of an nth-root 11.2 Rational Exponents 11.3 Properties of Radicals 11.4 Addition and Subtraction of Radicals 11.5 Multiplication of Radicals 11.6 Rationalization Mixed Review Exercises Operations on Radicals (from Chapter 8 BA 2nd ed.) 11.7 Radical Equations 11.8 Complex Numbers Chapter 11 Summary Chapter 11 Review Exercises Chapter 11 Test Cumulative Review Exercises, Chapters 1 11 Chapter 12: Quadratic Equations and Functions 12.1 Square Root Property and Completing the Square 12.2 Quadratic Formula 12.3 Equations in Quadratic Form 12.4 Graphs of Quadratic Functions 12.5 Applications of Quadratic Functions Chapter 12 Summary Chapter 12 Review Exercises Chapter 12 Test Cumulative Review Exercises, Chapters 1 12 Chapter 13: Exponential and Logarithmic Functions 13.1 Algebra of Functions and Composition of Functions 13.2 Inverse Functions 13.3 Exponential Functions 13.4 Logarithmic Functions 13.5 Properties of Logarithms 13.6 The Irrational Number, e 13.7 Exponential and Logarithmic Equations Chapter 13 Summary Chapter 13 Review Exercises Chapter 13 Test Cumulative Review Exercises, Chapters 1 13 Chapter 14: Conic Sections and Nonlinear Systems 14.1 Distance Formulas and Circles 14.2 More on the Parabola 25

29 DEVELOPMENTAL MATHEMATICS 14.3 Ellipse and Hyperbola 14.4 Nonlinear Systems of Equations in Two Variables 14.5 Nonlinear Inequalities and Systems of Inequalities Chapter 14 Summary Chapter 14 Review Exercises Chapter 14 Test Cumulative Review Exercises, Chapters 1 14 Chapter 15: Sequences, Series, and Binomial Theorem Counting, and Probability 15.1 Sequences and Series 15.2 Arithmetic and Geometric Sequences and Series 15.3 Binomial Expansions 15.4 Fundamentals of Counting 15.5 Introduction to Probability Chapter 15 Summary Chapter 15 Review Exercises Chapter 15 Test Cumulative Review Exercises, Chapters 1 15 Beginning Algebra Review: Review A Review of The Set of Real Numbers Review B Review of Linear Equations and Inequalities Review C Review of Graphing (authors need to revise) Review D Review of Polynomials and Properties of Exponents Review E Review of Factoring Polynomials Review F Review of Rational Expressions Appendix A.1 Synthetic Division Appendix A.2 Mean, Median, and Mode BEGINNING AND INTERMEDIATE ALGEBRA: A Unified Worktext By James Streeter (deceased); Donald Hutchison, Clackamas Community College; Barry Bergman, Clackamas Community College and Stefan Baratto, Clackamas Community College 2004 / 1,232 pages ISBN-13: / MHID: (with MathZone) Prealgebra Review Prime Factorization Review of Fractions, Decimals, and Percents 1 Real Numbers and Algebraic Expressions: Addition and Subtraction of Real Numbers Multiplication and Division of Real Numbers. Variables and Algebraic Expressions. Properties of Exponents and Scientific Notation. Order of Operations. 2 Equations and Inequalities: The Addition Property of Equality. The Multiplication Property of Equality. Solve Linear Equations. The Number Line. Linear Inequalities. Absolute Value Equations and Inequalities. Applications and Problem Solving. 3 Graph Linear Equations and Inequalities in Two Variables: The Cartesian Coordinate System. The Graph of a Line. The Slope of a Line. Graph a Line Using the Slope-Intercept Method. Find the Equation of a Line. Graph Linear Inequalities. Applications and Problem Solving. 4 Systems of Linear Equations and Inequalities: Solve Systems of Linear Equations by Graphing. Solve Systems of Linear Equations by Substitution. Solve Systems of Linear Equations by Addition. Solve Systems of Linear Inequalities. Applications and Problem Solving. 5 Polynomials: An Introduction to Polynomials. Add and Subtract Polynomials. Multiply Polynomials. Divide Polynomials. Synthetic Division. 6 Factoring: The Greatest Common Factor and Factor by Grouping. Use Special Patterns to Factor. Factor Trinomials of the form x2 + bx + c. Factor Trinomials for the form ax2 + bx + c. Solve Equaitons by Factoring. Applications and Problem Solving. Review of Beginning Algebra. Real Numbers and Algebraic Expressions. Equations and Inequalities. Graphs of Linear Equations and Inequalities. Systems of Linear Equations and Inequalities. R.5 Polynomials. Factoring. 7 Rational Expressions: Evaluate and Simplify Rational Expressions. Multiply and Divide Rational Expressions. Add and Subtract Rational Expressions. Simplify Complex Fractions. Solve Rational Equations. Solve Literal Equations. Applications and Problem Solving. 8 Functions: Relations and Functions. Tables and Graphs. Algebra of Functions. Composition of Functions. One-to-One and Inverse Functions. 9 Radicals and Rational Exponents: Evaluate Radicals. Simplify Radicals. Add and Subtract Radicals. Multiply and Divide Radicals. Radicals and Rational Exponents. Solve Radical Equations. Complex Numbers. Applications and Problem Solving. 10 Quadratic Equations and Inequalities: Graphs of Quadratic Functions. Solve Quadratic Equations Using Radicals. Complete the Square. The Quadratic Formula. Solve Equatioins in Quadratic Form. Solve Quadratic Inequalities. 11 Exponential and Logarithmic Functions: Exponential Functions. Logarithmic Functions. Properties of Logarithms. Solve Logarithmic and Exponential Equations. Applications and Problem Solving. 12 Conic Sections: Parabolas. Circles. Ellipses. Hyperbolas. Systems of Nonlinear Equations and Inequalities. Appendices A.1 Matrices A.2 Determinants 26

30 DEVELOPMENTAL MATHEMATICS MATH WORD PROBLEMS DEMYSTIFIED By Allan G Bluman, Community College of Allegheny County-South 2004 / Softcover / 308 pages ISBN-13: / MHID: A Professional Publication Preface. Lesson 1: Introduction to Solving Word Problems. Lesson 2: Solving Word Problems Using Whole Numbers. REFRESHER I: DECIMALS: Lesson 3: Solving Word Problems Using Decimals. REFRESHER II: FRACTIONS: Lesson 4: Solving Word Problems Using Fractions. QUIZ 1. REFRESHER III: PERCENTS: Lesson 5: Solving Word Problems Using Percents. Lesson 6: Solving Word Problems Using Proportions. Lesson 7: Solving Word Problems Using Formulas. QUIZ 2. REFRESHER IV: EQUATIONS: Lesson 8: Algebraic Representation. Lesson 9: Solving Number Problems. Lesson 10: Solving Digit Problems. Lesson 11: Solving Coin Problems. QUIZ 3: Lesson 12: Solving Age Problems. Lesson 13: Solving Distance Problems. Lesson 14: Solving Mixture Problems. Lesson 15: Solving Finance Problems. Lesson 16: Solving Lever Problems. Lesson 17: Solving Work Problems. QUIZ 4. REFRESHER V: SYSTEMS OF EQUATIONS: Lesson 18: Solving Word Problems Using Two Equations. REFRESHER VI: QUADRATIC EQUATIONS: Lesson 19: Solving Word Problems Using Quadratic Equations. Lesson 20: Solving Word Problems in Geometry. QUIZ 5. Lesson 21: Solving Word Problems Using Other Strategies. Lesson 22: Solving Word Problems in Probability. Lesson 23: Solving Word Problems in Statistics. Quiz 6. Final Exam. Answer To Quizzes And Final Exam. Supplement: Suggestions For Success In Mathematics. Index Intermediate Algebra New INTERMEDIATE ALGEBRA Sixth Edition By Mark Dugopolski 2009 (January 2008) ISBN-13: / MHID: Browse: Intermediate Algebra, 6e is part of the latest offerings in the successful Dugopolski series in mathematics. The author s goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language. The author uses concrete analogies to relate math to everyday experiences. For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that the price of a hamburger plus a Coke is the same as a Coke plus a hamburger. Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic. Dugopolski includes a double crossreferencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications. The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other developmental math series on the market. In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses. The book is accompanied by numerous useful supplements, including McGraw-Hill s online homework management system, MathZone. INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: New to this edition Subsection heads are now in the end of section exercise sets, and section heads are now in the Chapter Review Exercises. References to page numbers on which Strategy Boxes are located have been inserted into the direction lines for the exercises when appropriate. Study tips have been removed from the margins to give the pages a better look. Two study tips now precede each exercise set. McGraw-Hill s MathZone is a complete, online tutorial and course management system for mathematics and statistics, designed for greater ease of use than any other system available. Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse. All instructor teaching resources are accessed online, as well as student assignments, questions, e-professors, online tutoring and video lectures which are directly tied to text specific material. MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments. MathZone has automatic grading and reporting of easy-to-assign algorithmically 27

31 DEVELOPMENTAL MATHEMATICS generated homework, quizzing and testing. Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel. Go to to learn more. TO THE STUDENT PREFACE 1 The Real Numbers 1.1 Sets 1.2 The Real Numbers 1.3 Operations on the Set of Real Numbers 1.4 Evaluating Expressions 1.5 Properties of the Real Numbers 1.6 Using the Properties Chapter 1 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 1 Test Critical Thinking 2 Linear Equations and Inequalities in One Variable 2.1 Linear Equations in One Variable 2.2 Formulas and Functions 2.3 Applications 2.4 Inequalities 2.5 Compound Inequalities 2.6 Absolute Value Equations and Inequalities Chapter 2 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 2 Test Making Connections: A review of Chapters 1-2 Critical Thinking 3 Linear Equations and Inequalities in Two Variables 3.1 Graphing Lines in the Coordinate Plane 3.2 Slope of a Line 3.3 Three Forms for the Equation of a Line 3.4 Linear Inequalities and Their Graphs 3.5 Functions and Relations Chapter 3 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 3 Test Making Connections: a review of Chapters 1-3 Critical Thinking 4 Systems of Linear Equations 4.1 Solving Systems by Graphing and Substitution 4.2 The Addition Method 4.3 Systems of Linear Equations in Three Variables 4.4 Solving Linear Systems Using Matrices 4.5 Determinants and Cramer s Rule 4.6 Linear Programming Chapter 4 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 4 Test Making Connections: a review of Chapters 1-4 Critical Thinking 5 Exponents and Polynomials 5.1 Integral Exponents and Scientific Notation 5.2 The Power Rules 5.3 Polynomials and Polynomial Functions 5.4 Multiplying Binomials 5.5 Factoring Polynomials 5.6 Factoring ax² + bx + c 5.7 Factoring Strategy 5.8 Solving Equations by Factoring Chapter 5 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 5 Test Making Connections: a review of Chapters 1-5 Critical Thinking 6 Rational Expressions and Functions 6.1 Properties of Rational Expressions and Functions 6.2 Multiplication and Division 6.3 Addition and Subtraction 6.4 Complex Fractions 6.5 Division of Polynomials 6.6 Solving Equations Involving Rational Expressions 6.7 Applications Chapter 6 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 6 Test Making Connections: a review of Chapters 1-6 Critical Thinking 7 Radicals and Rational Exponents 7.1 Radicals 7.2 Rational Exponents 7.3 Adding, Subtracting, and Multiplying Radicals 7.4 Quotients, Powers, and Rationalizing Denominators 7.5 Solving Equations with Radicals and Exponents 7.6 Complex Numbers Chapter 7 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 7 Test Making Connections: a review of Chapters 1-7 Critical Thinking 8 Quadratic Equations, Functions, and Inequalities 8.1 Factoring and Completing the Square 8.2 The Quadratic Formula 8.3 More on Quadratic Equations 8.4 Quadratic Functions and Their Graphs 8.5 Quadratic and Rational Inequalities Chapter 8 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 8 Test Making Connections: a review of Chapters 1-8 Critical Thinking 9 Additional Function Topics 9.1 Graphs of Functions and Relations 9.2 Transformations of Graphs 9.3 Combining Functions 9.4 Inverse Functions 9.5 Variation Chapter 9 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 9 Test Making Connections: a review of Chapters 1-9 Critical Thinking 10 Exponential and Logarithmic Functions 10.1 Exponential Functions and Their Applications 10.2 Logarithmic Functions and Their Applications 10.3 Properties of Logarithms 10.4 Solving Equations and Applications Chapter 10 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises 28

32 DEVELOPMENTAL MATHEMATICS Chapter 10 Test Making Connections: a review of Chapters 1-10 Critical Thinking 11 Nonlinear Systems and the Conic Sections 11.1 Nonlinear Systems of Equations 11.2 The Parabola 11.3 The Circle 11.4 The Ellipse and Hyperbola 11.5 Second-Degree Inequalities Chapter 11 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 11 Test Making Connections: a review of Chapters 1-11 Critical Thinking 12 Sequences and Series 12.1 Sequences 12.2 Series 12.3 Arithmetic Sequences and Series 12.4 Geometric Sequences and Series 12.5 Binomial Expansions Chapter 12 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 12 Test Making Connections: a review of Chapters 1-12 Critical Thinking Appendix A Answers to Selected Exercises Index New INTERMEDIATE ALGEBRA By Donald Hutchison, Stefan Baratto of Clackamas Community College and Barry Bergman, Clackamas Community College 2008 (January 2007) ISBN-13: / MHID: Browse Intermediate Algebra by Baratto/Kohlmetz/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics. By popular demand, we are now offering an Intermediate Algebra book in the series again. This book combines the best of earlier versions of Intermediate Algebra, along with new material requested by a cross-section of Intermediate Algebra instructors across the country. This first edition maintains the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce intermediate algebra concepts and put the content in context. The authors use a three-pronged approach (I. Communication, II. Pattern Recognition, and III. Problem Solving) to present the material and stimulate critical thinking skills. Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice. The exercise sets are well-organized, and clearly labeled. Vocational and professional-technical exercises have been included throughout. Repeated exposure to this consistent structure should help advance the student s skills in relating to mathematics. The book is designed for a one-semester intermediate algebra course and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw- Hill s online homework management system, MathZone. Features Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES MAKE THE CONNECTION --Chapter-Opening Vignettes provide students with interesting, relevant scenarios that will capture their attention and engage them in the upcoming material. Furthermore, exercises and Activities related to the Opening Vignettes are included in each chapter. These exercises are marked with a special icon next to them. ACTIVITIES--An Activity is included in each chapter. These Activities promote active learning by requiring students to find, interpret, and manipulate real-world data. The Activity in each chapter relates to the chapter-opening vignette, providing cohesiveness to the chapter. Students can complete the Activities on their own, but are best solved in small groups. CHECK YOURSELF EXERCISES--Check Yourself exercises have been the hallmark of the Streeter-Hutchison Series; they are designed to actively involve students throughout the learning process. Each example is followed by an exercise that encourages students to solve a problem similar to the one just presented and check/practice what they have just learned. Answers to these exercises are provided at the end of the section for immediate feedback. READING YOUR TEXT --This feature is a set of quick exercises presented at the end of each section meant to quiz students vocabulary knowledge. These exercises are designed to encourage careful reading of the text. Answers to these exercises are provided at the end of the book. 29

33 DEVELOPMENTAL MATHEMATICS CLEAR STRUCTURE FOR END-OF-SECTION EXERCISES- -The comprehensive End-of-Section exercises are organized to clearly identify the different types of exercises being presented. This structure highlights the progression in level and type of exercise for each section. The application exercises, which are integrated into every section, are a crucial component of this organization. SUMMARY AND SUMMARY EXERCISES--The comprehensive chapter summaries and exercises are found at the end of every chapter and review the important concepts from that chapter. The comprehensive Summaries at the end of each chapter enable students to review important concepts. The Summary Exercises provide an opportunity for the student to practice these important concepts. Answers to odd-numbered exercises are provided in the Answers Appendix. CUMULATIVE REVIEWS--Cumulative Reviews are included starting with Chapter 2, following the Self-Tests. These reviews help students build on previously covered material and give them an opportunity to reinforce the skills necessary in preparing for midterm and final exams. The answers to these exercises are also given at the end of the book, along with section references. GRAPH PAPER INCLUDED--A graph paper card is bound into the back of the book. This perforated card can be torn out and copied as needed by the students, and can be used any time they need to do graphing. An electronic version of the card is available through the book s website in the Information Center. MathZone--MathZone, accessible via the Internet or through CD- ROM, will allow the instructors and students to get all of the necessary help they need to be successful in the course--including state of the art lecture videos, eprofessor practice, many problems from the text algorithmically generated, a unified gradebook and a course built online quickly and easily. MathZone icons will appear throughout the text to tell the student when it s appropriate to go to MathZone to either do the problems, watch the videos, or get extra help. NEW TO THE HUTCHISON SERIES: Kelly Kaiser Kohlmetz, of University of Wisconsin-Milwaukee, brings a great deal to the author team due to her experience in academics. 5.7 Factoring Trinomials: The ac Method 5.8 Strategies in Factoring 5.9 Solving Quadratic Equations by Factoring 6 Rational Expressions and Functions 6.1 Simplification of Rational Expressions and Functions 6.2 Multiplication and Division of Rational Expressions 6.3 Addition and Subtraction of Rational Expressions 6.4 Complex Fractions 6.5 Solving Rational Equations 6.6 Variation 7 Radical and Radical Exponents 7.1 Roots and Radicals 7.2 Simplification of Radical Expressions 7.3 Operations on Radical Expressions 7.4 Solving Radical Equations 7.5 Geometric and Other Applications 7.6 Rational Exponents 7.7 Complex Numbers 8 Quadratic Equations, Functions, and Inequalities 8.1 Graphing Factorable Quadratic Functions 8.2 Solving Quadratic Equations by Completing the Square 8.3 Solving Quadratic Equations by Using the Quadratic Formula 8.4 Solving Equations that are Quadratic in Form 8.5 Quadratic Inequalities and Rational Inequalities 9 Conic Sections 9.1 Parabolas 9.2 Circles 9.3 Ellipses and Hyperbolas 9.4 Nonlinear Systems 10 Additional Properties of Functions 10.1 Algebra of Functions 10.2 Composition of Functions 10.3 Inverse Relations and Functions 11 Exponential and Logarithmic Functions 11.1 Exponential Functions 11.2 Logarithmic Functions 11.3 Properties of Logarithms 11.4 Solving Logarithmic and Exponential Equations / Appendix: Determinants and Cramer s Rule 1 The Real Numbers 1.1 The Set of Real Numbers 1.2 Operations and Properties 1.3 Inequalities and Absolute Values 1.4 Algebraic Expressions 1.5 Properties of Exponents and Scientific Notation 2 Linear Equations and Inequalities 2.1 Solutions of Linear Equations in One Variable 2.2 Literal Equations and Formulas 2.3 Applications and Problem Solving 2.4 Linear Inequalities 2.5 Absolute Value Equations and Inequalities 3 Graphs of Linear Relations and Functions 3.1 Graphing Linear Equations 3.2 An Introduction to Functions 3.3 The Slope of a Line 3.4 Forms of Linear Equations 3.5 Graphing Absolute Value Functions and Linear Inequalities 4 Systems of Linear Relations 4.1 Systems of Linear Equations in Two Variables 4.2 Systems of Linear Equations in Three Variables 4.3 Solving Systems of Equations Using Matrices 4.4 Graphing Systems of Linear Inequalities 5 Polynomials and Polynomial Functions 5.1 Addition and Subtraction of Polynomials 5.2 Multiplication of Polynomials 5.3 Division of Polynomials 5.4 Common Factors and Factoring by Grouping 5.5 Factoring Special Binomials 5.6 Factoring Trinomials: Trial and Error INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: 30

34 DEVELOPMENTAL MATHEMATICS New INTERMEDIATE ALGEBRA Second Edition By Julie Miller and Molly O Neill of Daytona Beach Community College 2008 (January 2007) ISBN-13: / MHID: (Hardcover) Building on its first-edition success, Intermediate Algebra 2/e by Miller/O Neill continues to offer an enlightened approach grounded in the fundamentals of classroom experience. The practice of many instructors in the classroom is to present examples and have their students solve similar problems. This is realized through the Skill Practice Exercises that directly follow the examples in the textbook. Throughout the text, the authors have integrated many Study Tips and Avoiding Mistakes hints, which are reflective of the comments and instruction presented to students in the classroom. In this way, the text communicates to students, the very points their instructors are likely to make during lecture, helping to reinforce the concepts and provide instruction that leads students to mastery and success. The authors included in this edition, Problem-Recognition exercises, that many instructors will likely identify to be similar to worksheets they have personally developed for distribution to students. The intent of the Problem-Recognition exercises, is to help students overcome what is sometimes a natural inclination toward applying problemsovling algorithms that may not always be appropriate. In addition, the exercise sets have been revised to include even more core exercises than were present in the first edition. This permits instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills and develop the knowledge they need to make a successful transition into College Algebra. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class, as they do inside class with their instructor. For even more support, students have access to a wealth of supplements, including McGraw-Hill s online homework management system, MathZone. New to this edition Feature : NEW! Problem Recognition Exercises Developmental math students are sometimes conditioned into algorithmic thinking to the point where they want to automatically apply various algorithms to solve problems, whether it is meaningful or not. These exercises were built to decondition students from falling into that trap. Carefully crafted by the authors, the exercises focus on the situations where students most often get mixed-up. Working the Problem Recognition Exercises, students become conditioned to Stop, Think, and Recall what method is most appropriate to solve each problem in the set. Feature : NEW! Skill Practice exercises follow immediately after the examples in the text. Answers are provided so students can check their work. By utilizing these exercises, students can test their understanding of the various problem-solving techniques given in the examples. Feature : NEW! The section-ending Practice Exercises are newly revised, with even more core exercises appearing per exercise set. Many of the exercises are grouped by section objective, so students can refer back to content within the section if they need some assistance in completing homework. Review Problems appear at the beginning of most Practice Exercise Sets to help students improve their study habits and to improve their long-term retention of concepts previously introduced. Feature : NEW! Mixed Exercises are found in many of the Practice Exercise sets. The Mixed Exercises contain no references to objectives. In this way, students are expected to work independently without prompting--which is representative of how they would work through a test or exam. Feature : NEW! Study Skills Exercises appear at the beginning of the Practice Exercises, where appropriate. They are designed to help students learn techniques to improve their study habits including exam preparation, note taking, and time management. Feature : NEW! The Chapter Openers now include a variety of puzzles that may be used to motivate lecture. Each puzzle is based on key vocabulary terms or concepts that are introduced in the chapter. Feature : Classroom Activities are optional exercises that can be worked out in class by individual students, or a group of students who work collaboratively. The Annotated Instructor s Edition refers to the classroom activities, which are found in the Instructor s Resource Manual. Instructors have the option of making the classroom activities available to students for use in class in conjunction with lecture, or for use as extra practice in conjunction with homework. Feature : MathZone, accessible via the Internet or through CD- ROM, will allow the instructors and students to get all of the necessary help they need to be successful in the course including state of the art lecture videos, eprofessor practice, many problems from the text algorithmically generated, a unified gradebook and a course built online quickly and easily. MathZone icons will appear throughout the text to tell the student when it s appropriate to go to MathZone to either do the problems, watch the videos, or get extra help. Chapter 1: Review of Basic Algebraic Concepts 1.1 Sets of Numbers and Interval Notation 1.2 Operations on Real Numbers 1.3 Simplifying Expressions 1.4 Linear Equations in One Variable 1.5 Applications of Linear Equations in One Variable 1.6 Literal Equations and Applications to Geometry 1.7 Linear Inequalities in One Variable 1.8 Properties of Integer Exponents and Scientific Notation Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Test Chapter 2: Linear Equations in Two Variables 2.1 Rectangular Coordinate System and Midpoint Formula 2.2 Linear Equations in Two Variables 2.3 Slope of a Line 2.4 Equations of a Line 2.5 Applications of Linear Equations and Graphing Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Test Chapter 3: Systems of Linear Equations 3.1 Solving Systems of Linear Equations by Graphing 3.2 Solving Systems of Equations by Using the Substitution Method 3.3 Solving Systems of Equations by Using the Addition Method 3.4 Applications of Systems of Linear Equations in Two Variables 3.5 Systems of Linear Equations in Three Variables and Applications 3.6 Solving Systems of Linear Equations by Using Matrices 3.7 Determinants and Cramer s Rule Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Test Cumulative Review Exercises, Chapters

35 DEVELOPMENTAL MATHEMATICS Chapter 4: Introduction to Relations and Functions 4.1 Introduction to Relations 4.2 Introduction to Functions 4.3 Graphs of Functions 4.4 Variation Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Test Chapter 5: Polynomials 5.1 Addition and Subtraction of Polynomials and Polynomial Functions 5.2 Multiplication of Polynomials 5.3 Division of Polynomials / Mixed Review Exercises Operations on Polynomials 5.4 Greatest Common Factor and Factoring by Grouping 5.5 Factoring Trinomials 5.6 Factoring Binomials 5.7 Additional Factoring Strategies 5.8 Solving Equations by Using the Zero Product Rule Chapter 5 Summary Chapter 5 Review Exercises Chapter 5 Test Chapter 6: Rational Expressions and Rational Equations 6.1 Rational Expressions and Rational Functions 6.2 Multiplication and Division of Rational Expressions 6.3 Addition and Subtraction of Rational Expressions 6.4 Complex Fractions / Mixed Review Exercises Operations on Rational Expressions 6.5 Rational Equations 6.6 Applications of Rational Equations and Proportions Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Test Cumulative Review Exercises, Chapters 1 6 Chapter 7: Radicals and Complex Numbers 7.1 Definition of an nth Root 7.2 Rational Exponents 7.3 Simplifying Radical Expressions 7.4 Addition and Subtraction of Radicals 7.5 Multiplication of Radicals 7.6 Rationalization 7.7 Radical Equations 7.8 Complex Numbers Chapter 7 Summary Chapter 7 Review Exercises Chapter 7 Test Chapter 8: Quadratic Equations and Functions 8.1 Square Root Property and Completing the Square 8.2 Quadratic Formula 8.3 Equations in Quadratic Form 8.4 Graphs of Quadratic Functions 8.5 Vertex of a Parabola and Applications Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Test Chapter 9: More Equations and Inequalities 9.1 Compound Inequalities 9.2 Polynomial and Rational Inequalities 9.3 Absolute Value Equations 9.4 Absolute Value Inequalities Mixed Review Exercises Equations and Inequalities 9.5 Linear Inequalities in Two Variables Chapter 9 Summary Chapter 9 Review Exercises Chapter 9 Test Cumulative Review Exercises, Chapters 1 9 Chapter 10: Exponential and Logarithmic Functions 10.1 Algebra and Composition of Functions 10.2 Inverse Functions 10.3 Exponential Functions 10.4 Logarithmic Functions 10.5 Properties of Logarithms 10.6 The Irrational Number e / Mixed Review Exercises Logarithmic and Exponential Forms 10.7 Logarithmic and Exponential EquationsChapter 10 Summary / Chapter 10 Review ExercisesChapter 10 Test Chapter 11: Conic Sections 11.1 Distance Formula and Circles 11.2 More on the Parabola 11.3 The Ellipse and Hyperbola 11.4 Nonlinear Systems of Equations in Two Variables 11.5 Nonlinear Inequalities and Systems of Inequalities Chapter 11 Summary Chapter 11 Review Exercises Chapter 11 Test Cumulative Review Exercises, Chapters 1 11 Appendix A.1 Binomial Expansions A.2 Sequences and Series A.3 Arithmetic and Geometric Sequences and Series INTERMEDIATE ALGEBRA: THE LANGUAGE AND SYMBOLISM OF MATHEMATICS By James W. Hall, Parkland College, and Brian A. Mercer, Parkland College 2007 (December 2005) ISBN-13: / MHID: ISBN-13: / MHID: (with MathZone) Browse Intended for schools that want a single text covering the standard topics from Intermediate Algebra. Topics are organized not following the historical pattern, but by using as the guiding prinicples, the AMATYC standards as outlined in Crossroads in Mathematics. Use of a graphing calculator is assumed. BEGINNING AND INTERMEDIATE ALGEBRA: THE LANGUAGE AND SYMBOLISM OF MATHEMATICS is a reform-oriented book. 1 Review of Beginning Algebra. Preparing for an Algebra Class. The Real Number Line and Algebraic Expressions. Operations with Real Numbers. Exponents and Order of Operations. Properties of Exponents and Scientific Notation. Solving Linear Equations in One Variable. Ratios, Proportions, and Direct Variation. Using and Rearranging Formulas. 2 An Introduction To Functions And Linear Modeling. The Rectangular Coordinate System, Tables, and Graphs. Functions and Representations of Functions. Linear Functions. Slope of a Line and Applications of Slope. Special Forms of Linear Equations In Two Variables. Properties of the Graphs of Linear and Absolute Value Functions. Curve Fitting--Selecting the Line of Best Fit. 3 Linear Equations and Systems of Linear Equations. Problem Solving and Applications of Linear Equations. Solving Systems of Linear Equations In Two Variables Graphically and Numerically. Solving Systems of Linear Systems In Two Variables by the Substitution Method. Solving Systems of Linear Systems In Two Variables by the Addition Method. More Applications of Linear Systems. Solving Systems of Linear Equations Using Augmented Matrices. Systems of Linear equations in Three Variables. 4 Linear Inequalities and Systems of Linear Inequalities. Solving Linear Inequalities in One Variable. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Graphing Systems of Linear Inequalities in Two Variables. 32

36 DEVELOPMENTAL MATHEMATICS 5 Polynomials and Polynomial Functions. Polynomials and Properties of the graphs of Polynomial Functions. Adding and Subtracting Polynomials. Multiplying Polynomials and Special Products. An Introduction to Factoring Factoring Trinomials of the Form. A General Strategy for Factoring Polynomials. Using Factoring solve equations and Inequalities. 6 Quadratic Functions. Quadratic Functions, Parabolas, and Modeling Using Quadratic Equations. Solving Equations by Factoring. Using the Quadratic Formula to Find Real Solutions. More Applications of Quadratic Equations. Complex Numbers. Solving Quadratic Equations with Imaginary Solutions. 7 Rational Functions. Properties of the Graphs of Rational Functions and Reducing Rational Expressions. Multiplying, Dividing, and Reducing Rational Expressions. Adding and Subtracting Rational Expressions. Combining Operations and Simplifying Complex Rational Expressions Dividing Polynomials. Solving Equations Containing Rational Expressions. Inverse and Joint Variation and Other Applications Yielding equations with Fractions. 8 Square Root and Cube Root Functions and Rational Exponents. Properties of the Graphs of Radical Functions. Evaluating Radical Expressions. Adding and Subtracting Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Equations Containing Radical Expressions. Rational Exponents and Radicals. 9 Exponential and Logarithmic Functions. Geometric Sequences and Properties of the Graphs of Exponential Functions. Inverse Functions. Logarithmic Functions. Evaluating Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential Curve Fitting and Other Applications of Exponential and Logarithmic Equations. 10 A Preview of College Algebra. Horizontal and Vertical Translations of Functions. Stretching, Shrinking, and Reflecting Graphs of Functions. Algebra of Functions. Sequences, Series, and Summation Notation. Conic Sections. INTERMEDIATE ALGEBRA Second Edition By Ignacio Bello, University of South Florida -Tampa and Fran Hopf, University of South Florida -Tampa 2006 / Softcover ISBN-13: / MHID: (MP) ISBN-13: / MHID: (with MathZone) Intermediate Algebra prepares students for further courses in the college math curriculum. Students of all backgrounds will be delighted to find a refreshing book that appeals to every learning style and reaches out to diverse demographics. Through down-to-earth explanations, patient skill-building, and exceptionally interesting and realistic applications, this worktext will empower students to learn and master algebra in the real world. 1. The Real Numbers 1.1 Numbers and Their Properties. 1.2 Operations and Properties of Real Numbers. 1.3 Properties of Exponents. 1.4 Algebraic Expressions and the Order Of Operations. 2. Linear Equations and Inequalities 2.1 Linear Equations in One Variable. 2.2 Formulas, Geometry, and Problem Solving. 2.3 Problem Solving: Integers and Geometry. 2.4 Problem Solving: Percent, Investment, Motion, and Mixture Problems. 2.5 Linear and Compound Inequalities. 2.6 Absolute-Value Equations and Inequalities. 3. Graphs and Functions 3.1 Graphs. 3.2 Introduction to Functions: Linear Functions. 3.3 Using Slopes to Graph Lines. 3.4 Equations of Lines. 3.5 Linear Inequalities in Two Variables. 4. Solving Systems of Linear Equations and Inequalities 4.1 Systems with Two Variables. 4.2 Systems with Three Variables. 4.3 Coin, Distance-Rate-Time, Investment, and Geometry Problems. 4.4 Matrices. 4.5 Determinants and Cramer s Rule. 4.6 Systems of Linear Inequalities. 5. Polynomials 5.1 Polynomials: Addition and Subtraction. 5.2 Multiplication of Polynomials. 5.3 The Greatest Common Factor and Factoring by Grouping. 5.4 Factoring Trinomials. 5.5 Special Factoring. 5.6 General Methods of Factoring. 5.7 Solving Equations by Factoring: Applications. 6. Rational Expressions 6.1 Rational Expressions. 6.2 Multiplication and Division of Rational Expressions. 6.3 Addition and Subtraction of Rational Expressions. 6.4 Complex Fractions. 6.5 Division of Polynomials and Synthetic Division. 6.6 Equations Involving Rational Expressions. 6.7 Applications: Problem Solving. 6.8 Variation. 7. Rational Exponents and Radicals 7.1 Rational Exponents and Radicals. 7.2 Simplifying Radicals. 7.3 Operations with Radicals. 7.4 Solving Equations Containing Radicals. 7.5 Complex Numbers. 8. Quadratic Equations and Inequalities 8.1 Solving Quadratics by Completing the Square. 8.2 The Quadratic Formula: Applications. 8.3 The Discriminant and Its Applications. 8.4 Solving Equations in Quadratic Form. 8.5 Nonlinear Inequalities. 9. Quadratic Functions and the Conic Sections 9.1 Quadratic Functions and their Graphs. 9.2 Circles and Ellipses. 9.3 Hyperbolas and Identification of Conics. 9.4 Nonlinear Systems of Equations. 9.5 Nonlinear Systems of Inequalities. 10. Inverse, Exponential, and Logarithmic Functions The Algebra of Functions Inverse Functions Exponential Functions Logarithmic Functions and Their Properties Common and Natural Logarithms Exponential and Logarithmic Equations and Applications. 11. Sequences and Series Sequences and Series Arithmetic Sequences and Series Geometric Sequences and Series The Binomial Expansion 33

37 DEVELOPMENTAL MATHEMATICS SCHAUM S EASY OUTLINE INTERMEDIATE ALGEBRA By Ray Steege and Kerry Bailey, Laramie County Community College, Wyoming 2004 / Softcover / 144 pages ISBN-13: / MHID: A Schaum s Publication What could be better than the bestselling Schaum s Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum s Easy Outline series. Every book in this series is a pared-down, simplified, and tightly focused version of its predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and updated format and the absolute essence of the subject, presented in a concise and readily understandable form. Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials. Designed to appeal to underprepared students and readers turned off by dense text Cartoons, sidebars, icons, and other graphic pointers get the material across fast Concise text focuses on the essence of the subject Deliver expert help from teachers who are authorities in their fields Perfect for last-minute test preparation So small and light that they fit in a backpack! SCHAUM S OUTLINE OF INTERMEDIATE ALGEBRA By Ray Steege and Kerry Bailey, Laramie County Community College, Wyoming 1997 / 381 pages ISBN-13: / MHID: A Schaum s Publication key=w02003 Properties of Real Numbers. Polynomials. Rational Expressions. First-Degree Equations and Inequalities. Exponents, Roots, and Radicals. Second-Degree Equations and Inequalities. Systems of Equations and Inequalities. Relations and Functions Exponential and Logarithmic Functions. Sequences, Series, and the Binomial Theorem. Algrebra for College Students New ALGEBRA FOR COLLEGE STUDENTS Fifth Edition By Mark Dugopolski 2009 (January 2008) / 250 pages ISBN-13: / MHID: ISBN-13: / MHID: (Mandatory Package) Algebra for College Students, 5e is part of the latest offerings in the successful Dugopolski series in mathematics. The author s goal is to explain mathematical concepts to students in a language they can understand. In this book, students and faculty will find short, precise explanations of terms and concepts written in understandable language. The author uses concrete analogies to relate math to everyday experiences. For example, when the author introduces the Commutative Property of Addition, he uses a concrete analogy that the price of a hamburger plus a Coke is the same as a Coke plus a hamburger. Given the importance of examples within a math book, the author has paid close attention to the most important details for solving the given topic. Dugopolski includes a double crossreferencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other. Finally, the author finds it important to not only provide quality, but also a good quantity of exercises and applications. The Dugopolski series is known for providing students and faculty with the most quantity and quality of exercises as compared to any other developmental math series on the market. In completing this revision, Dugopolski feels he has developed the clearest and most concise developmental math series on the market, and he has done so without comprising the essential information every student needs to become successful in future mathematics courses. The book is accompanied by numerous useful supplements, including McGraw-Hill s online homework management system, MathZone. New to this edition Subsection heads are now in the end of section exercise sets, and section heads are now in the Chapter Review Exercises. References to page numbers on which Strategy Boxes are located have been inserted into the direction lines for the exercises when appropriate. Study tips have been removed from the margins to give the pages a better look. Two study tips now precede each exercise set. McGraw-Hill s MathZone is a complete, online tutorial and course management system for mathematics and statistics, designed for greater ease of use than any other system available. Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse. All instructor teaching resources are accessed online, as well as student assignments, questions, e-professors, online tutoring and video lectures which are directly tied to text specific material. MathZone courses are customized 34

38 DEVELOPMENTAL MATHEMATICS to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments. MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing. Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel. Go to to learn more. TO THE STUDENT PREFACE 1 The Real Numbers 1.1 Sets 1.2 The Real Numbers 1.3 Operations on the Set of Real Numbers 1.4 Evaluating Expressions 1.5 Properties of the Real Numbers 1.6 Using the Properties Chapter 1 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 1 Test Critical Thinking 2 Linear Equations and Inequalities in One Variable 2.1 Linear Equations in One Variable 2.2 Formulas and Functions 2.3 Applications 2.4 Inequalities 2.5 Compound Inequalities 2.6 Absolute Value Equations and Inequalities Chapter 2 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 2 Test Making Connections: A review of Chapters 1-2 Critical Thinking 3 Linear Equations and Inequalities in Two Variables 3.1 Graphing Lines in the Coordinate Plane 3.2 Slope of a Line 3.3 Three Forms for the Equation of a Line 3.4 Linear Inequalities and Their Graphs 3.5 Functions and Relations Chapter 3 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 3 Test Making Connections: a review of Chapters 1-3 Critical Thinking 4 Systems of Linear Equations 4.1 Solving Systems by Graphing and Substitution 4.2 The Addition Method 4.3 Systems of Linear Equations in Three Variables 4.4 Solving Linear Systems Using Matrices 4.5 Determinants and Cramer s Rule 4.6 Linear Programming Chapter 4 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 4 Test Making Connections: a review of Chapters 1-4 Critical Thinking 5 Exponents and Polynomials 5.1 Integral Exponents and Scientific Notation 5.2 The Power Rules 5.3 Polynomials and Polynomial Functions 5.4 Multiplying Binomials 5.5 Factoring Polynomials 5.6 Factoring ax² + bx + c 5.7 Factoring Strategy 5.8 Solving Equations by Factoring Chapter 5 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 5 Test Making Connections: a review of Chapters 1-5 Critical Thinking 6 Rational Expressions and Functions 6.1 Properties of Rational Expressions and Functions 6.2 Multiplication and Division 6.3 Addition and Subtraction 6.4 Complex Fractions 6.5 Division of Polynomials 6.6 Solving Equations Involving Rational Expressions 6.7 Applications Chapter 6 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 6 Test Making Connections: a review of Chapters 1-6 Critical Thinking 7 Radicals and Rational Exponents 7.1 Radicals 7.2 Rational Exponents 7.3 Adding, Subtracting, and Multiplying Radicals 7.4 Quotients, Powers, and Rationalizing Denominators 7.5 Solving Equations with Radicals and Exponents 7.6 Complex Numbers Chapter 7 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 7 Test Making Connections: a review of Chapters 1-7 Critical Thinking 8 Quadratic Equations, Functions, and Inequalities 8.1 Factoring and Completing the Square 8.2 The Quadratic Formula 8.3 More on Quadratic Equations 8.4 Quadratic Functions and Their Graphs 8.5 Quadratic and Rational Inequalities Chapter 8 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 8 Test Making Connections: a review of Chapters 1-8 Critical Thinking 9 Additional Function Topics 9.1 Graphs of Functions and Relations 9.2 Transformations of Graphs 9.3 Combining Functions 9.4 Inverse Functions 9.5 Variation Chapter 9 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 9 Test Making Connections: a review of Chapters 1-9 Critical Thinking 10 Polynomial and Rational Functions 10.1 The Factor Theorem 10.2 Zeros of a Polynomial Function 10.3 The Theory of Equations 10.4 Graphs of Polynomial Functions 10.5 Graphs of Rational Functions 35

39 DEVELOPMENTAL MATHEMATICS Chapter 10 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 10 Test Making Connections: a review of Chapters 1-10 Critical Thinking 11 Exponential and Logarithmic Functions 11.1 Exponential Functions and Their Applications 11.2 Logarithmic Functions and Their Applications 11.3 Properties of Logarithms 11.4 Solving Equations and Applications Chapter 11 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 11 Test Making Connections: a review of Chapters 1-11 Critical Thinking 12 Nonlinear Systems and the Conic Sections 12.1 Nonlinear Systems of Equations 12.2 The Parabola 12.3 The Circle 12.4 The Ellipse and Hyperbola 12.5 Second-Degree Inequalities Chapter 12 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 12 Test Making Connections: a review of Chapters 1-12 Critical Thinking 13 Sequences and Series 13.1 Sequences 13.2 Series 13.3 Arithmetic Sequences and Series 13.4 Geometric Sequences and Series 13.5 Binomial Expansions Chapter 13 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 13 Test Making Connections: a review of Chapters 1-13 Critical Thinking 14 Counting and Probability 14.1 Counting and Permutations 14.2 Combinations 14.3 Probability Chapter 14 Wrap-Up Summary Enriching Your Mathematical Word Power Review Exercises Chapter 14 Test Critical Thinking Appendix A Answers to Selected Exercises Index ALGEBRA FOR COLLEGE STUDENTS By Julie Miller, Daytona Beach Community College Daytona Beach and Molly O Neill, Daytona Beach Community College Daytona Beach 2004 / Hardcover ISBN-13: / MHID: (with MathZone) 1 Review of Basic Algebraic Concepts. 2 Linear Equations in Two Variables. 3 Systems of Linear Equations and Matrices. 4 Introduction to Relations and Functions. 5 Polynomials. 6 Radicals and Complex Numbers. 7 Factoring and Quadratic Functions. 8 Rational Expressions. 9 More Equations and Inequalities. 10 Exponential and Logarithmic Functions. 11 Conic Sections and Nonlinear Systems. 12 Polynomial and Rational Functions. 13 Sequences, Series, Counting, and Proba 36

40 MATHEMATICS SERVICE COURSES Business Mathematics...41 Discrete Mathematics...45 Finite Mathematics...44 Geometry...39 Liberal Arts Mathematics...41 Mathematics For Elementary Teachers...43 Technical Mathematics

41 NEW TITLES Mathematics Service Courses 2007 Author ISBN-13 MHID Page Mathematics For Technicians, 6e Alldis

42 MATHEMATICS SERVICE COURSES Geometry Internaltional Edition GEOMETRY WITH GEOMETRY EXPLORER By Michael Hvidsten, Gustavus Adolphus College 2005 / 352 pages ISBN-13: / MHID: (with CD) ISBN-13: / MHID: X [IE wth CD] 1. Geometry and the Axiomatic Method: Early Origins of Geometry. Thales and Pythagoras. Thales. Pythagoras. Project 1 - The Ratio Made of Gold. Golden Section. Golden Rectangles. Project Report. The Rise of the Axiomatic Method. Properties of Axiomatic Systems. Consistency. Independence. Completeness. Gödel s Incompleteness Theorem. Euclid s Axiomatic Geometry. Euclid s Postulates. Project 2 - A Concrete Axiomatic System. Project Report 2. Euclidean Geometry: Angles, Lines, and Parallels. Congruent Triangles and Pasch s Axiom. Project 3 -Special Points of a Triangle. Circumcenter. Orthocenter. Incenter. Project Report. Measurement in Euclidean Geometry. Mini- Project: Area in Euclidean Geometry. Cevians and Areas. Similar Triangles. Mini-Project: Finding Heights. Circle Geometry. Project 4 -Circle Inversion and Orthogonality. Project Report. Orthogonal Circles, Redux. 3. Analytic Geometry: The Cartesian Coordinate System. Vector Geometry. Angles in Coordinate Geometry. The Complex Plane. Polar Form. Complex Functions. Analytic Functions and Conformal Maps. Birkhoff s Axiomatic System for Analytic Geometry. 4. Transformational Geometry: Euclidean Isometrics. Reflections. Mini-Project: Isometries Through Reflection. Reflection and Symmetry. Translations. Translational Symmetry. Rotations. Rotational Symmetry. Project 5 - Quilts and Transformations. Glide Reflections. Glide Reflection Symmetry. Structure and Representation of Isometries. Matrix Form of Isometries. Compositions of Rotations and Translations. Compositions of Reflections and Glide Reflections. Isometries in Computer Graphics. Summary of Isometry Compositions. Project 6 -Constructing Compositions. 5. Symmetry: Finite Plane Symmetry Groups. Frieze Groups. Wallpaper Groups. Tiling the Plane. Escher. Regular Tessellations of the Plane. Project 7 - Constructing Tessellations. 6. Non-Euclidean Geometry: Background and History. Models of Hyperbolic Geometry. Poincaré Model. Mini-Project: The Klein Model. Basic Results in Hyperbolic Geometry. Parallels in Hyperbolic Geometry. Omega Points and Triangles. Project 8 - The Saccheri Quadrilateral. Lambert Quadrilaterals and Triangles. Lambert Quadrilaterals. Triangles in Hyperbolic Geometry. Area in Hyperbolic Geometry. Project 9 -Tiling the Hyperbolic Plane. Models and Isomorphism. 7. Non-Euclidean Transformations: Möbius Transformations. Fixed Points and the Cross Ratio. Geometric Properties of Möbius Transformations. Isometries in the Poincaré Model. Isometries in the Klein Model. Mini-Project: The Upper Half- Plane Model. Weierstrass Model. 8. Non-Euclidean Calculation: Projection and the Angle of Parallelism. Horocycles. Project 10 -Parameterizing Horocycle Arcs. Concentric Horocycles. Hyperbolic Trigonometry. Hyperbolic Right Triangle Trigonometry. General Hyperbolic Trigonometry. Simplified Hyperbolic Trig Formulas. Mini-Project: Calculations in Lambert Quadrilaterals. Arclength in Cartesian Coordinates. Arclength in Polar Coordinates. Beltrami Coordinates and Categoricalness. Area. Calculation in the Poincaré Model. Arclength of Parameterized Curves. Geodesics. The Angle of Parallelism. Right Triangles. Area. Project 11 - Infinite Real Estate? 9. Fractal Geometry: The Search for a Natural Geometry. Self-Similarity. Sierpinski s Triangle. Cantor Set. Similarity Dimension. Project 12 - An Endlessly Beautiful Snowflake. Contraction Mappings and The Space of Fractals. Fractal Dimension. Project 13 - IFS Ferns. Algorithmic Geometry. Turtle Geometry. Grammars and Productions. Spacefilling Curves. Project 14 - Words Into Plants: The Geometry of Life. Constructions. Euclidean Constructions. Project 15 - Euclidean Eggs. Hilbert s Geometry. Incidence Geometry. Betweenness Geometry. Project 16 - Angles and Ray Betweenness. Betweenness and Triangles. Congruence Geometry. Triangle and Angle Congruence Results. Segment Ordering. Project 17 - Angle Order. Continuity Geometry. Segment Measure. Angle Measure. Basic Results of Absolute Geometry. Continuity and Intersections. Parallelism. A. Book I of Euclid s Elements. A.1 Definitions. A.2 The Postulates (Axioms). A.3 Common Notions. A.4 Propositions (Theorems). B. Brief Guide to Geometry Explorer. B.1 The Main Geometry Explorer Window. B.2 Selecting Objects. B.3 Active vs. Inactive Tools. B.4 Labels. B.5 Object Coloring. B.6 On-Line Help. B.7 Undo/Redo of Actions. B.8 Clearing, Resizing the Canvas. B.9 Saving Files as Images. B.10 Main Window Button Panels. B.10.1 Create Panel. B.10.2 Construct Panel. B.10.3 Transform Panel. B.11 Measurement in Geometry Explorer. B.11.1 Neutral Measurements. B.11.2 Euclidean-only Measurements. B.11.3 Hyperbolic-only Measurements. B.11.4 User Input Measurements. B.12 Using Tables. B.13 Using the Calculator. B.14 Hyperbolic Geometry. B.15 Analytic Geometry. B.16 Turtle Geometry. C. Birkhoff s Axioms for Euclidean Geometry. D. The 17 Wallpaper Groups INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: 39

43 MATHEMATICS SERVICE COURSES SCHAUM S OUTLINE OF GEOMETRY Fourth Edition By Barnett Rich (deceased) and Christopher Thomas 2009 (July 2008) / 369 pages ISBN-13: / MHID: A Schaum s Publication A classic Schaum s bestseller, thoroughly updated to match the latest course scope and sequence. The ideal review for the hundreds of thousands of college and high school students who enroll in geometry courses CONTENTS 1. Fundamentals of Algebra: Laws and Operations 2. Fundamentals of Algebra: Equations and Formulas 3. Lines, Angles, and Triangles 4. Methods of Proof 5. Congruent Triangles 6. Parallel Lines, Distances, and Angle Sums 7. Parallelograms, Trapezoids, Medians, and Midpoints 8. Circles 9. Similarity 10. Areas 11. Regular Polygons and the Circle 12. Locus 13. Inequalities and Indirect Reasoning 14. Improvement of Reasoning 15. Constructions 16. Proofs of Important Theorems 17. Transformational Geometry BOB MILLER S GEOMETRY FOR THE CLUELESS Second Edition By Bob Miller, City College of the City University of New York 2006 (September 2005) / 160 pages ISBN-13: / MHID: A Professional Publication Bob Miller s Geometry for the Clueless tackles a subject more than three million students face every year. Miller acts as a private tutor, painstakingly covering the high school curriculum as well as post secondary courses in geometry. Chapter 9: Regular Polygons and the Circle. Chapter 10: Constructions. International Edition Schaum s Outline of Geometry Third Edition By Barnett Rich (deceased) and Philip A Schmidt, Associate Dean at Berea College 2000 / 322 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] A Schaum s Publication (International Edition is not for sale in Japan.) Fundamentals of Algebra: Laws and Operations. Fundamentals of Algebra: Equations and Formulas. Lines, Angles, and Triangles. Methods of Proof. Congruent Triangles. Methods of Proof. Congruent Triangles. Parallel Lines, Distances, and Angle Sums. Parallelograms, Trapezoids, Medians, and Midpoints. Circles. Similarity. Areas. Regular Polygons and the Circle. Locus. Inequalities and Indirect Reasoning. Improvement of Reasoning. Constructions. Proofs of Important Theorems. Transforma-tional Geometry. Schaum s Easy OutlineS: Geometry By Barnett Rich (deceased) and Philip A Schmidt, Associate Dean at Berea College 2001 / 144 pages ISBN-13: / MHID: A Schaum s Publication Chapter 1: Lines, Angles, and Triangles. Chapter 2: Deductive Reasoning. Chapter 3: Congruent Triangles. Chapter 4: Parallel Lines, Distances, and Angle Sums. Chapter 5: Trapezoids and Parallelograms. Chapter 6: Circles. Chapter 7: Similarity. Chapter 8: Areas. Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES 40

44 MATHEMATICS SERVICE COURSES Liberal Arts Mathematics MATHEMATICS IN OUR WORLD By Allan G Bluman, Community College of Allegheny County-South 2005 / 840 pages /Hardcover ISBN-13: / MHID: (with MathZone) One Problem Solving: The Nature of Mathematical Reasoning. Problem Solving. Estimation. Two Sets: The Nature of Sets. Subsets and Set Operations. Venn Diagrams. Using Sets to Solve Problems. Infinite Sets. Three Logic: Statements. Truth Tables. Types of Statements. Arguments. Euler Circles. Four Numeration Systems: Early and Modern Numeration Systems. Base Number Systems. Operations in Base Numbers. Five The Real Number System: The Natural Numbers. The Integers. The Rational Numbers. The Irrational Numbers. The Real Numbers. Exponents and Scientific Notation. Arithmetic and Geometric Sequences. Six Other Mathematical Systems: Clock Arithmetic. Modular Systems. Mathematical Systems without Numbers. Seven Topics in Algebra: Fundamental Concepts of Algebra. Solving Linear Equations. Applications of Linear Equations. Solving Linear Inequalities. Ratio, Proportion, and Variation. Solving Quadratic Equations. Eight Additional Topics in Algebra: The Rectangular Coordinate System and the Line. Systems of Linear Equations. Systems of Linear Inequalities. Linear Programming. Functions. Nine Consumer Mathematics: Percent. Interest. Installment Buying. Home Ownership. Markup and Markdown. Ten Geometry: Points, Lines, Planes, and Angles. Triangles, Polygons and Perimeter. Areas of Polygons and the Circle. Surface Area and Volume. Right Triangle Trigonometry. Networks. Eleven Probability and Counting Techniques: Basic Concepts of Probability. Tree Diagrams, Tables, and Sample Spaces. Odds and Expectation. The Addition Rules for Probability. The Multiplication Rules and Conditional Probability. The Fundamental Counting Rule and Permutations. Combinations. Probability Using Permutations and Combinations. Twelve Statistics: The Nature of Statistics and Organizing Data. Picturing Data. Measures of Average. Measures of Variation. Measures of Position. The Normal Distribution. Applications of the Normal Distribution. Correlation and Regression Analysis. Thirteen Voting Methods: Preference Tables and the Plurality Method. The Borda Count Method and the Plurality-with-Elimination Method. The Pairwise Comparison Method and Approval Voting. Appendix A Measurement. Appendix B Trigonometric Ratios. Appendix C Area Under the Standard Normal Distribution. Appendix D Significan Values for the Correlation Coefficient. Appendix E Using the Ti83+ Graphing Calculator Business Mathematics SOLVING BUSINESS PROBLEMS USING A CALCULATOR Sixth Edition By Mildred Polisky 2003 / 288 pages ISBN-13: / MHID: Section 1 10-Key Touch Method: Lesson 1 Touch Addition of Whole Numbers. Lesson 2 Touch Addition and Subtraction of Whole Numbers. Lesson 3 Crossfooting. Lesson 4 Touch Addition and Subtraction of Dollars and Cents. Lesson 5 Rounding and Estimating Without a Calculator. Lesson 6 Multiplication. Lesson 7 Division. Business Calculator Applications 1: Keypad Introduction. Practice Test 1. Section 2 Multiplication and Division: Lesson 8 Constant Multiplication and Division. Lesson 9 Multiplying Three or More Factors. Lesson 10 Mixed Operations. Lesson 11 Accumulative Multiplication. Lesson 12 Negative Multiplication. Business Calculator Applications 2: Using Memory Keys for Repeated Operations. Practice Test 2. Section 3 Percents and Discounts: Lesson 13 Fractions and Decimals. Lesson 14 Percents. Lesson 15 Finding Percentage, Rate, and Base. Lesson 16 Amounts and Percents of Increase or Decrease. Lesson 17 Single Discounts. Lesson 18 Series Discounts. Lesson 19 Extending Invoices and Quantity Pricing. Lesson 20 Auditing Invoices. Business Calculator Applications 3: Percent of Change, The Percentage Formula, and Discounts. Practice Test 3. Section 4 Retail Calculations and Payroll: Lesson 22 Markdown. Lesson 23 Monthly and Semimonthly Payrolls. Lesson 24 Payrolls for Hourly Workers. Lesson 25 Commission Payroll Plans. Business Calculator Applications 4: Retail Calculations. Practice Test 4. Section 5 Stocks and Bonds: Lesson 27 Investments in Bonds. Lesson 28 Yields on Investments. Lesson 29 Selling Price of Stocks. Business Calculator Applications 5: Prices of Treasury Bonds and Notes. Practice Test 5. Section 6 Interest and the Metric System: Lesson 30 Interest and Mortgage Interest. Lesson 31 True Annual Interest Rate. Lesson 32 Installment Buying. Lesson 33 Prorating. Lesson 34 Measurement. Business Calculator Applications 6: Interest and Proration. Practice Test 6. Progress Tests. Answer Tabs 41

45 MATHEMATICS SERVICE COURSES International Edition Applied Mathematics for Business, Economics and the Social Science Fourth Edition By Frank S. Budnick, University of Rhode Island 1993 / 1,056 pages ISBN-13: / MHID: (Out-of-Print) ISBN-13: / MHID: [IE] 1 Some Preliminaries 2 Linear Equations 3 Systems of Linear Equations 4 Functions and Graphs 5 Linear Functionsand Applications 6 Quadratic and Polynomial Functions 7 Exponential and Logarithmic Functions 8 Mathematics of Finance 9 Matrix Algebra 10 Linear ProgrammingAn Introduction 11 The Simplex Method 12 Trans-portation and Assignment Models 13 Introduction to Probability Theory 14 Probability Distributions 15 Differentiation 16 Optimization Methodology and Applications 17 Integral Calculus An Introduction 18 Integral CalculusApplications 19 Optimization Functions of Several Variables Appendix A Review of Algebra McGRAW-HILL S CONQUERING GRE/GMAT MATH By Robert Moyer 2007 (December 2006) 352 pages ISBN-13: / MHID: A Professional Publication Practice problems, study guidance, and expert advice to boost your math confidence and scores on the GRE and GMAT. Chapter 11: GRE and GMAT Data Interpretation Questions Section IV: Math Practice Tests GRE Math Practice Test 1 GRE Math Practice Test 2 GMAT Math Practice Test 1 GMAT Math Practice Test 2 BUSINESS MATH DEMYSTIFIED By Allan Bluman, Community College of Allegheny County-South 2006 (March 2006) / 390 pages) ISBN-13: / MHID: A Professional Publication This work teaches business-management students all the basic mathematics used in a retail business and follows the standard curriculum of Business Math courses. PREFACE Chapter 1: Fractions--Review Chapter 2: Decimals--Review Chapter 3: Percent--Review Chapter 4: Formulas--Review Chapter 5: Checking Accounts Chapter 6: Payroll and Commission Chapter 7: Markup Chapter 8: Discounts Chapter 9: Simple Interest and Promissory Notes Chapter 10: Compound Interest Chapter 11: Annuities and Sinking Funds Chapter 12: Consumer Credit Chapter 13: Mortgages Chapter 14: Insurance Chapter 15: Taxes Chapter 16: Stocks and Bonds Chapter 17: Depreciation Chapter 18: Inventory Chapter 19: Financial Statements Chapter 20: Statistics Chapter 21: Charts and Graphs FINAL EXAM / ANSWERS TO QUIZZES AND FINAL EXAM / INDEX A complete math-building program for both the GMAT and the GRE, this is an ideal refresher course to sharpen your math skills and improve your scores. It includes intensive reviews of every type of math problem, in-depth practice questions, and step-by-step strategies. PREFACE ACKNOWLEDGMENT Section I: Introduction Chapter 1: The GRE and GMAT Mathematics Sections Chapter 2: The Mathematics You Need to Review Chapter 3: How the Questions Are Asked Section II: Basic Mathematics Review Chapter 4: Number Properties Chapter 5: Arithmetic Computation Chapter 6: Algebra Chapter 7: Geometry Section III: Item Formats Chapter 8: GRE and GMAT Quantitative Ability Questions Chapter 9: GRE Quantitative Comparisons Chapter 10: GMAT Data Sufficiency Questions Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES 42

46 MATHEMATICS SERVICE COURSES International Edition SCHAUM S OUTLINE OF INTRODUCTION TO MATHEMATICAL ECONOMICS Third Edition By Edward T Dowling, Fordham University 2001 / 523 pages ISBN-13: / MHID: X ISBN-13: / MHID: [IE] A Schaum s Publication Review. Economic Applications of Graphs and Equations. The Derivative and the Rules of Differentiation. Uses of the Derivative in Mathematics and Economics. Calculus of Multivariable Functions. Caculus of Multivariable Functions in Economics. Exponential and Logarithmic Functions in Economics. Differentiation of Exponential and Logarithmic Functions. The Fundamentals of Linear (or Matrix) Algebra. Matrix Inversion. Special Determinants and Matrices and Their Use in Economics. Comparative Statics and Concave Programming. IUntegral Calculus: The Indefinite Integral. Integral Calculus: The Definite Integral. First-Order Differential Equations. First Order Difference Equations. Second-Order Differential Equations and Difference Equations. Simultaneous Differential and Difference Equations. The Calculus of Variations. Optimal Control Theory. Schaum s Outline of Mathematical Methods for Business and Economics By Edward T. Dowling, Fordham University 1993 / 320 pages ISBN-13: / MHID: A Schaum s Publication Review. Equations and Graphs. Functions. Systems of Equations. Linear (or Matrix) Algebra. Solving Linear Equations with Matrix Algebra. Linear Programming: Using Graphs. Linear Programming: The Simplex Algorithm and the Dual. Differential Calculus: The Derivative and the Rules of Differentiation. Differential Calculus: Uses of the Derivative. Exponential and Logarithmic Functions. Integral Calculus. Calculus of Multivariable Functions. Index. Mathematics for Elementary Teachers MATHEMATICS FOR ELEMENTARY TEACHERS A Conceptual Approach, Seventh Edition By Albert B. Bennett, University Of New Hampshire, and Ted Nelson, Portland State University 2007 (June 2006) / 896 pages / Hardcover ISBN-13: / MHID: ISBN-13: / MHID: (Mandatory Package) Albert B. Bennett, Jr. and L. Ted Nelson have presented hundreds of workshops on how to give future teachers the conceptual understanding and procedural fluency they will need in order to successfully teach elementary-school mathematics. The Seventh Edition of Mathematics for Elementary Teachers: A Conceptual Approach continues their innovative, time-tested approach: an emphasis on learning via specific, realistic examples and the extensive use of visual aids, hands-on activities, problem-solving strategies and active classroom participation. Special features in the text ensure that prospective teachers will gain not only a deeper understanding of the mathematical concepts, but also a better sense of the connections between their college math courses and their future teaching experiences, along with helpful ideas for presenting math to their students in a way that will generate interest and enthusiasm. The text draws heavily on NCTM Standards and contains many pedagogical elements designed to foster reasoning, problem-solving and communication skills. The Seventh Edition will also incorporate in-text references to the virtual manipulative kit and other online resources that enhance the authors explanations and examples. 1 Problem Solving and Algebraic Thinking 1.1 Introduction to Problem Solving 1.2 Patterns and Problem Solving 1.3 Problem Solving with Algebra 2 Sets, Functions, and Reasoning 2.1 Sets and Venn Diagrams 2.2 Functions, Coordinates and Graphs 2.3 Introduction to Deductive Reasoning 3 Whole Numbers 3.1 Numeration Systems 3.2 Addition and Subtraction 3.3 Multiplication 3.4 Division and Exponents 4 Number Theory 4.1 Factors and Multiples 4.2 Greatest Common Divisor and Least Common Multiple 5 Integers and Fractions 5.1 Integers 5.2 Introduction to Fractions 5.3 Operations with Fractions 6 Decimals: Rational and Irrational Numbers 6.1 Decimals and Rational Numbers 6.2 Operations with Decimals 6.3 Ratio, Percent, and Scientific Notation 6.4 Irrational and Real Numbers 7 Statistics 7.1 Collecting and Graphing Data 7.2 Describing and Analyzing Data 7.3 Sampling, Predictions, and Simulations 8 Probability 8.1 Single-Stage Experiments 8.2 Multistage Experiments 9 Geometric Figures 9.1 Plane Figures 9.2 Polygons and Tessellations 9.3 Space Figures 9.4 Symmetric Figures 43

47 MATHEMATICS SERVICE COURSES 10 Measurement 10.1 Systems of Measurement 10.2 Area and Perimeter 10.3 Volume and Surface Area 11 Motions in Geometry 11.1 Congruence and Constructions 11.2 Congruence Mappings 11.3 Similarity Mappings. References for Resarch Statements by Chapter Answers to Selected One-Page Math Activities Answers to Puzzlers Answers to Odd-Numbered Exercises Credits Index International Edition MATHEMATICS FOR ELEMENTARY TEACHERS An Activity Approach, Seventh Edition By Albert B. Bennett, University Of New Hampshire, and Ted Nelson, Portland State University 2007 (June 2006) / 416 pages / Spiral Bound/Comb ISBN-13: / MHID: ISBN-13: / MHID: (with Man Kit) ISBN-13: / MHID: [IE, Man Kit] This book is designed for a mathematics for elementary school teachers course where instructors choose to focus on and/or take an activities approach to learning. It provides inductive activities for prospective elementary school teachers and incorporates the use of physical models, manipulatives, and visual images to develop concepts and encourage higher-level thinking. This text contains an activity set that corresponds to each section of the companion text, Mathematics for Elementary Teachers: A Conceptual Approach which is also by Bennett/Nelson. The Activities Approach text can be used independently or along with its companion volume. The authors are pleased to welcome Laurie Burton, PhD, Western Oregon University to this edition of Mathematics for Elementary Teachers: An Activity Approach. Activity Sets. 1: Problem Solving 1.1 Seeing and Extending Patterns With Pattern Blocks 1.2 Geometric Number Patterns With Color Tiles 1.3 Solving Story Problems With Algebra Pieces 2: Sets, Functions and Reasoning 2.1 Sorting and Classifying With Attribute Pieces 2.2 Graphing Spirolaterals 2.3 Logic Problems For Cooperative Learning Groups 3: Whole Numbers 3.1 Models For Numeration With Multibase Pieces 3.2 Adding and Subtracting With Multibase Pieces 3.3 Multiplying With Base-Ten Pieces 3.4 Dividing With Base-Ten Pieces 4: Number Theory 4.1 Models For Even Numbers, Odd Numbers, Factors and Primes 4.2 Models For Greatest Common Factor and Least Common Multiple 5: Integers and Fractions 5.1 Black and Red Tile Model For Integers 5.2 Fraction-Bar Model For Equality and Inequality 5.3 Computing With Fraction Bars 6: Decimals: Rational and Irrational 6.1 Decimal Squares Model 6.2 Operations With Decimal Squares 6.3 A Model For Introducing Percent 6.4 Irrational Numbers On the Geoboard 7: Statistics 7.1 Scatter Plots: Looking for Relationships 7.2 Analyzing Data, Sampling and Simulation 7.3 Statistical Distributions: Observations and Applications 8: Probability 8.1 Probability Experiments 8.2 Multistage Probability Experiments 9: Geometric Figures 9.1 Figures On Rectangular and Circular Geoboards 9.2 Regular and Semiregular Tessellations 9.3 Models for Regular and Semiregular Polyhedra 9.4 Creating Symmetric Figures: Pattern Blocks and Paper Folding 10: Measurement 10.1 Measuring With Metric Units 10.2 Areas On Geoboards 10.3 Models For Volume and Surface Area 11: Motions In Geometry 11.1 Locating Sets of Points in the Plane 11.2 Drawing Escher-Type Tessellations 11.3 Devices For Indirect Measurement. Finite Mathematics SCHAUM S OUTLINE OF BEGINNING FINITE MATHEMATICS By Seymour Lipschutz, Temple University -Philadelphia; John J Schiller and R. Alu Srinivasan, Temple University 2005 / Softcover / 368 pages ISBN-13: / MHID: Most colleges and universities now require their non-science majors to take a one- or two-semester course in mathematics. Taken by 300,000 students annually, finite mathematics is the most popular. Updated and revised to match the structures and syllabuses of contemporary course offerings, Schaum s Outline of Beginning Finite Mathematics provides a thorough review-- with worked examples--of the fundamentals of linear equations and linear growth. Topics covered include games theory, descriptive statistics, normal distribution, probability, binomial distribution, and voting systems and apportionment. INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: 44

48 MATHEMATICS SERVICE COURSES Discrete Mathematics International Edition DISCRETE MATHEMATICS AND ITS APPLICATIONS Sixth Edition By Kenneth H. Rosen, AT&T Laboratories 2007 (January 2006) / Hardcover with Access card ISBN-13: / MHID: (with MathZone) ISBN-13: / MHID: (with Math Zone Kit) ISBN-13: / MHID: [IE] Browse Discrete Mathematics and its Applications, Sixth Edition, is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. This renowned best-selling text, which has been used at over 500 institutions around the world, gives a focused introduction to the primary themes in a discrete mathematics course and demonstrates the relevance and practicality of discrete mathematics to a wide a wide variety of real-world applications from computer science to data networking, to psychology, to chemistry, to engineering, to linguistics, to biology, to business, and to many other important fields. Preface. The Companion Website. To the Student. 1 The Foundations: Logic and Proof, Sets, and Functions 1.1 Logic 1.2 Propositional Equivalences 1.3 Predicates and Quantifiers 1.4 Nested Quantifiers 1.5 Methods of Proof 1.6 Sets 1.7 Set Operations 1.8 Functions End-of-Chapter Material. 2 The Fundamentals: Algorithms, the Integers, and Matrices 2.1 Algorithms 2.2 The Growth of Functions 2.3 Complexity of Algorithms 2.4 The Integers and Division 2.5 Integers and Algorithms 2.6 Applications of Number Theory 2.7 Matrices End-of-Chapter Material. 3 Mathematical Reasoning, Induction, and Recursion 3.1 Proof Strategy 3.2 Sequences and Summations 3.3 Mathematical Induction 3.4 Recursive Definitions and Structural Induction 3.5 Recursive Algorithms 3.6 Program Correctness End-of-Chapter Material. 4 Counting 4.1 The Basics of Counting 4.2 The Pigeonhole Principle 4.3 Permutations and Combinations 4.4 Binomial Coefficients 4.5 Generalized Permutations and Combinations 4.6 Generating Permutations and Combinations. End-of-Chapter Material. 5 Discrete Probability 5.1 An Introduction to Discrete Probability 5.2 Probability Theory 5.3 Expected Value and Variance. End-of-Chapter Material. 6 Advanced Counting Techniques 6.1 Recurrence Relations 6.2 Solving Recurrence Relations 6.3 Divide-and-Conquer Algorithms and Recurrence Relations 6.4 Generating Functions 6.5 Inclusion-Exclusion 6.6 Applications of Inclusion-Exclusion End-of-Chapter Material. 7 Relations 7.1 Relations and Their Properties 7.2 n-ary Relations and Their Applications 7.3 Representing Relations 7.4 Closures of Relations 7.5 Equivalence Relations 7.6 Partial Orderings End-of-Chapter Material. 8 Graphs 8.1 Introduction to Graphs 8.2 Graph Terminology 8.3 Representing Graphs and Graph Isomorphism 8.4 Connectivity 8.5 Euler and Hamilton Paths 8.6 Shortest-Path Problems 8.7 Planar Graphs 8.8 Graph Coloring End-of-Chapter Material. 9 Trees 9.1 Introduction to Trees 9.2 Applications of Trees 9.3 Tree Traversal 9.4 Spanning Trees 9.5 Minimum Spanning Trees End-of-Chapter Material 10 Boolean Algebra 10.1 Boolean Functions 10.2 Representing Boolean Functions 10.3 Logic Gates 10.4 Minimization of Circuits End-of-Chapter Material. 11 Modeling Computation 11.1 Languages and Grammars 11.2 Finite-State Machines with Output 11.3 Finite-State Machines with No Output 11.4 Language Recognition 11.5 Turing Machines End-of-Chapter Material Appendixes A.1 Exponential and Logarithmic Functions A.2 Pseudocode Suggested Readings Answers to Odd-Numbered Exercises Photo Credits Index of Biographies Index 45

49 MATHEMATICS SERVICE COURSES International Edition Discrete Mathematics by Example By Andrew Simpson, Oxford Brookes 2002 / 450 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] McGraw-Hill UK Title 1 Introduction. 2 Numbers. 3 Propositional logic. 4 Set theory. 5 Boolean algebra. 6 Typed set theory. 7 Predicate logic. 8 Relations. 9 Functions. 10 Sequences. 11 Induction. 12 Graph theory. 13 Combinatorics. 14 Modelling. 15 Analysis. International Edition Schaum s 2,000 Solved Problems in Discrete Mathematics By Seymour Lipschutz, Temple University 1992 / 412 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] (Out of Print) A Schaum s Publication (International Edition is not for sale in Japan.) Set Theory. Relations. Functions. Vectors and Matrices. Graph Theory. Planar Graphs and Trees. Directed Graphs and Binary Trees. Combinatorial Analysis. Algebraic Systems. Languages, Grammars, Automata. Ordered Sets and Lattices. Propositional Calculus. Boolean Algebra. Logic Gates. SCHAUM S OUTLINE OF DISCRETE MATHEMATICS 3rd Edition By Seymour Lipschutz, Temple University-Philadelphia and Marc Lipson, University of Georgia 2008 (July 2007) / 496 pages ISBN-13: / MHID: A Schaum s Publication Discrete mathematics becomes more and more important as the digital age goes forward. This newly revised third edition updates all areas of the subject. CONTENTS Set Theory Relations Functions and Algorithms Logic and Propositional Calculus Counting Advanced Counting Techniques Computer Arithmetic Probability Theory Graph Theory Directed Graphs Binary Trees Properties of the Integers Cryptology Languages, Grammar, Machines Ordered Sets and Lattices Boolean Algebra Appendix A: Vectors and Matrices Appendix B: Algebraic Systems Technical Mathematics New MATHEMATICS FOR TECHNICIANS Sixth Edition By Alldis 2007 (October 2007) ISBN-13: / MHID: McGraw-Hill Australia Title (Details unavailable at press time) 46

50 MATHEMATICS SERVICE COURSES TECHNICAL MATH DEMYSTIFIED By Stan Gibilisco 2006 (April 2006) / 412 pages ISBN-13: / MHID: A Professional Publication Here is a complete self-teaching guide for anyone needing knowledge of math as it applies to engineering and technical fields. PREFACE / ACKNOWLEDGMENTS Chapter 1: Numbering Systems Chapter 2: Principles of Calculation Chapter 3: Specific Notation Chapter 4: Coordinates in Two Dimensions Chapter 5: Coordinates in Three Dimensions Chapter 6: Equations in One Variable Chapter 7: Multivariable Equations Chapter 8: Perimeter and Area in Two Dimensions Chapter 9: Surface Area and Volume in Three Dimensions Chapter 10: Boolean Algebra Chapter 11: Trigonometric Functions Chapter 12: Vectors in Two and Three Dimensions Chapter 13: Logarithmic and Exponential Functions Chapter 14: Differentiation in One Variable Chapter 15: Integration in One Variable Final Exam / Answers to Quiz and Exam Questions / Suggested Additional References / Index 47

51 MATHEMATICS SERVICE COURSES 48

52 PRECALCULUS College Algebra...51 College Algebra With Trigonometry...56 Precalculus...58 Trigonometry

53 NEW TITLES Precalculus 2009 Author ISBN-13 MHID Page College Algebra: Graphs And Models, 3e Barnett Precalculus: Graphs And Models, 3e Barnett X College Algebra, 8e Barnett College Algebra With Trigonometry, 8e Barnett Precalculus With Limits, 6e Barnett Precalculus With Mathzone, 6e Barnett Trigonometry With Mathzone Coburn

54 PRECALCULUS New College Algebra COLLEGE ALGEBRA: GRAPHS AND MODELS 3rd Edition By Raymond A Barnett, Merritt College, Michael R Ziegler and Karl E Byleen of Marquette University, David Sobecki, Miami University- Hamilton 2009 (February 2008) ISBN-13: / MHID: ISBN-13: / MHID: (Mandatory Package) The Barnett Graphs & Models series in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, real-world data analysis and modeling, and problem solving rather than mathematical theory. Many examples feature side-by-side algebraic and graphical solutions, and each is followed by a matched problem for the student to work. This active involvement in the learning process helps students develop a more thorough understanding of concepts and processes. A hallmark of the Barnett series, the function concept serves as a unifying theme. A major objective of this book is to develop a library of elementary functions, including their important properties and uses. Employing this library as a basic working tool, students will be able to proceed through this course with greater confidence and understanding as they first learn to recognize the graph of a function and then learn to analyze the graph and use it to solve the problem. Applications included throughout the text give the student substantial experience in solving and modeling real world problems in an effort to convince even the most skeptical student that mathematics is really useful. New to this edition The narrative has been extensively reworked in order to make the language less formal and more engaging for students. A new interior design offers a cleaner presentation of concepts and pedagogy. More examples featuring side-by-side algebraic and graphical solutions have been added to better integrate solution methods. Annotated steps, in small colored type, are used more frequently to walk students through each critical step in the problem-solving process. Expanded exercise sets provide additional practice, especially at the easy to moderate levels. An Annotated Instructor s Edition is now available for instructors and provides answers to each problem in the exercise set on the same page as the problem appears. MATHZONE McGraw-Hill s MathZone is a complete, online tutorial and course management system for mathematics and statistics, designed for greater ease of use than any other system available. Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse. All instructor teaching resources are accessed online, as well as student assignments, questions, e-professors, online tutoring and video lectures which are directly tied to text specific material. MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments. MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing. Student activity within MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel. Go to to learn more. CHAPTER 1 FUNCTIONS, GRAPHS, AND MODELS 1-1 Using Graphing Utilities 1-2 Functions 1-3 Functions: Graphs and Properties 1-4 Functions: Graphs and Transformations 1-5 Operations on Functions; Composition 1-6 Inverse Functions Chapter 1 Review Chapter 1 Group Activity: Mathematical Modeling Choosing a Long Distance Calling Plan CHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNCTIONS 2-1 Linear Functions 2-2 Linear Equations and Models 2-3 Quadratic Functions 2-4 Complex Numbers 2-5 Quadratic Equations and Models 2-6 Additional Equation Solving Techniques 2-7 Solving Inequalities Chapter 2 Review Chapter 2 Group Activity: Mathematical Modeling in Population Studies Cumulative Review Exercise for Chapters 1 and 2 CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS 3-1 Polynomial Functions And Models 3-2 Polynomial Division 3-3 Real Zeros and Polynomial Inequalities 3-4 Complex Zeros and Rational Zeros of Polynomials 3-5 Rational Functions and Inequalities 3-6 Variation and Modeling Chapter 3 Review Chapter 3 Group Activity: Interpolating Polynomials CHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS 4-1 Exponential Functions 4-2 Exponential Models 4-3 Logarithmic Functions 4-4 Logarithmic Models 4-5 Exponential and Logarithmic Equations Chapter 4 Review Cumulative Review Chapters 3 and 4 Chapter 4 Group Activity: Comparing Regression Models Cumulative Review Exercise for Chapters 3 and 4 CHAPTER 5 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES 5-1 Systems of Linear Equations in Two Variables 5-2 Systems of Linear Equations in Three Variables 5-3 Systems of Linear Inequalities 5-4 Linear Programming Chapter 5 Review Chapter 5 Group Activity: Modeling with Systems of Equations CHAPTER 6 MATRICES AND DETERMINANTS 6-1 Matrix Solutions to Linear Systems 6-2 Matrix Operations 6-3 Inverse of a Square Matrix 6-4 Matrix Equations and Systems of Linear Equations 6-5 Determinants 6-6 Properties of Determinants 6-7 Determinants and Cramer s Rule Chapter 6 Review Chapter 6 Group Activity: Using Matrices to Find Cost, Revenue, and Profit Cumulative Review Exercise for Chapters 5 and 6 CHAPTER 7 SEQUENCES, INDUCTION, PROBABILITY 7-1 Sequences and Series 51

55 PRECALCULUS 7-2 Mathematical Induction 7-3 Arithmetic and Geometric Sequences 7-4 Multiplication Principle, Permutations, and Combinations 7-5 Sample Spaces and Probability 7-6 Binomial Formula Chapter 7 Review Chapter 7 Group Activity: Sequences Specified by Recursion Formulas CHAPTER 8 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY 8-1 Conic Sections; Parabola 8-2 Ellipse 8-3 Hyperbola 8-4 Systems of Nonlinear Equations 8-5 Rotation of Axes Chapter 8 Review Chapter 8 Group Activity: Focal Chords Cumulative Review Exercise for Chapters 7 and 8 Appendix A BASIC ALGEBRA REVIEW A-1 Algebra and Real Numbers A-2 Exponents A-3 Radicals A-4 Polynomials: Basic Operations A-5 Polynomials: Factoring A-6 Rational Expressions: Basic Operations A-7 Linear Equations and Inequalities A-8 Cartesian Coordinate System A-9 Basic Formulas in Analytic Geometry Appendix A Review Appendix A Group Activity: Rational Number Representations Appendix B SPECIAL TOPICS B-1 Significant Digits B-2 Partial Fractions B-3 Parametric Equations Appendix C GEOMETRIC FORMULAS New COLLEGE ALGEBRA Eighth Edition By Raymond Barnett, Merritt College, Michael Ziegler and Karl Byleen of Marquette University 2008 (January 2007) ISBN-13: / MHID: The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, the students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematically concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. New to this edition Objective Based Learning: Introductory section objectives have been expanded to include the what and why of the objectives, followed by icons within the text identifying the specific areas of focus. A summary of chapter objectives will now be featured in the chapter summary material. Mathematical Modeling and Data Analysis: A focus on mathematical modeling and data analysis, specifically establishing a step by step process for understanding word problems and gathering the data from said problems. Graphical Interpretation: Throughout both examples and exercises, this feature focuses on the importance of learning to read and extract data from a given graph. This is developed by first presenting a graph and using a problem solving approach to read said graph. This focus aids in conceptualizing functions and building mathematical models. Throughout both examples and exercises, this feature focuses on the importance of learning to read and extract data from a given graph. This is developed by first presenting a graph and using a problem solving approach to read said graph. This focus aids in conceptualizing functions and building mathematical models. Chapter R: Basic Algebraic Operations R-1 Algebra and Real Numbers R-2 Exponents R-3 Radicals R-4 Polynomials: Basic Operations R-5 Polynomials: Factoring R-6 Rational Expressions: Basic Operations Chapter R Review Chapter R Group Activity: Rational Number Representations Chapter 1: Equations and Inequalities 1-1 Linear Equations and Applications 1-2 Linear Inequalities 1-3 Absolute Value 1-4 Complex Numbers 1-5 Quadratic Equations and Applications 1-6 Equations Involving Radicals Chapter 1 Review Chapter 1 Group Activity: Solving a Cubic Equation Chapter 2: Graphs 2-1 Cartesian Coordinate system 2-2 Distance in the Plane 2-3 Equations of a line 2-4 Linear Equations and Models Chapter 2 Review Chapter 2 Group Activity: Rates of Change Chapter 3: Functions 3-1 Functions 3-2 Graphing Functions 3-3 Transformations of Functions 3-4 Quadratic Functions 3-5 Combining Functions; Composition 3-6 Inverse Functions Chapter 3 Review Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long- Distance Calling Plan Chapters 1-3 Cumulative Review Exercises Chapter 4: Polynomials and Rational Functions 4-1 Polynomial Functions and Models 4-2 Real Zeros and Polynomial Inequalities 4-3 Complex Zeros and Rational Zeros of Polynomials 4-4 Rational Functions and Inequalities 4-5 Variation and Modeling Chapter 4 Review Chapter 4 Group Activity: Interpolating Polynomials Chapter 5: Exponential and Logarithmic Functions 5-1 Exponential Functions 5-2 Exponential Models 5-3 Logarithmic Functions 5-4 Logarithmic Models 5-5 Exponential and Logarithmic Equations Chapter 5 Review 52

56 PRECALCULUS Chapter 5 Group Activity: Growth of Increasing Functions Chapters 4-5 Cumulative Review Exercises Chapter 6: Additional Topics in Analytic Geometry 6-1 Conic Sections; Parabolas 6-2 Ellipses 6-3 Hyperbolas Chapter 6 Review Chapter 6 Group Activity: Focal Chords Chapter 7: Systems of Equations and Inequalities; Matrices 7-1 Systems of Linear Equations: Graphing and Substitution 7-2 Systems of Linear Equations: Elimination 7-3 Systems of Linear Equations: Gauss-Jordan Elimination 7-4 Matrices: Basic Operations 7-5 Systems of Linear Equations: Matrix Inverse Methods 7-6 Systems of Nonlinear Equations 7-7 Systems of Linear Inequalities in Two Variables 7-8 Linear Programming Chapter 7 Review Chapter 7 Group Activity: Modeling With Systems of Linear Equations Chapter 8: Sequences and Series 8-1 Sequences and Series 8-2 Mathematical Induction 8-3 Arithmetic and Geometric Sequences 8-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations 8-5 Sample Spaces and Probability 8-6 Binomial Formula Chapter 8 Review Chapter 8 Group Activity: Sequences Specified by Recursion Formulas Chapters 6-8 Cumulative Review Exercises Appendix A: Special Topics A-1 Scientific Notation and Significant Digits A-2 Partial Fractions A-3 Parametric Equations Appendix B: Geometric Formulas COLLEGE ALGEBRA By John W. Coburn, St Louis Community College-Flors Valley 2007 (December 2005) ISBN-13: / MHID: ISBN-13: / MHID: (with MathZone) Browse This college algebra text is written in a friendly and an easy to understand manner in order to help students understand the concept presented. This feature combined with ample examples, various types of exercises, and well thought out, real-world applications give the student the right tools to succeed. There are specific features and exercise problems to incorporate graphing calculator technology for those interested, however the material is presented in a way so that it may be skipped for those not utilizing technology. Chapter R: Review of Basic Concepts and Skills R.1 The Language, Notation and Numbers of Mathematics R.2 Algebraic Expressions and the Properties of Real Numbers R.3 Exponents, Polynomials and Operations on Polynomials R.4 Rational Expressions R.5 Radicals and Rational Exponents Chapter 1: Equations and Inequalities 1.1 Linear Equations, Formulas and Problem Solving 1.2 Linear Inequalities in One Variable with Applications 1.3 Solving Polynomial and Other Equations 1.4 Complex Numbers 1.5 Solving Non-Factorable Quadratic Equations Chapter 2: Functions and Graphs 2.1 Rectangular Coordinates and the Graph of a Line 2.2 Relations, Functions and Graphs 2.3 Linear Functions and Rates of Change 2.4 Quadratic and Other Toolbox Functions 2.5 Functions and Inequalities--A Graphical View 2.6 Regression, Technology and Data Analysis Chapter 3: Operations on Functions and Analyzing Graphs 3.1 The Algebra and Composition of Functions 3.2 One-to-One and Inverse Functions 3.3 Toolbox Functions and Transformations 3.4 Graphing General Quadratic Functions 3.5 Asymptotes and Simple Rational Functions 3.6 Toolbox Applicaitons: Direct and Inverse Variation 3.7 Piecewise-Defined Functions 3.8 Analyzing the Graph of a Function Chapter 4: Polynomial and Rational Functions 4.1 Polynomial Long Division and Synthetic Division 4.2 The Remainder and Factor Theorems 4.3 Zeroes of Polynomial Functions 4.4 Graphing Polynomial Functions 4.5 Graphing Rational Functions 4.6 Additional Insights into Rational Functions 4.7 Polynomial and Rational Inequalities Analytical View Chapter 5: Exponential and Logarithmic Functions 5.1 Exponential Functions 5.2 Logarithms and Logarithmic Functions 5.3 The Natural Logarithmic Function and Properties of Logarithms 5.4 Exponential/Logarithmic Equations and Applications 5.5 Applications from Investment, Finance and Physical Science 5.6 Exponential, Logarithmic and Logistic Regression Models Chapter 6: Systems of Equations and Inequalities 6.1 Linear Systems in Two Variables with Applications 6.2 Linear Systems in Three Variables with Applications 6.3 Systems of Linear Inequalities and Linear Programming 6.4 Systems and Absolute Value Equations and Inequalities 6.5 Solving Linear Systems using Matrices and Row Operations 6.6 The Algebra of Matrices 6.7 Solving Linear Systems using Matrix Equations 6.8 Matrix Applications: Cramer s Rule, Partial Fractions and More Chapter 7: Conic Sections and Non-Linear Systems 7.1 The Circle and the Ellipse 7.2 The Hyperbola 7.3 Non-Linear Systems of Equations and Inequalities 7.4 Foci and the Analytic Ellipse and Hyperbola 7.5 The Analytic Parabola Chapter 8: Additional Topics in Algebra 8.1 Sequences and Series 8.2 Arithmetic Sequences 8.3 Geometric Sequences 8.4 Mathematical Induction 8.5 Fundamentals of Quick-Counting 8.6 Counting Techniques: Permutations and Combinations 8.7 Introduction to Probability 8.8 The Binomial Theorem and Binomial Probabilities Additional Topics Available on the Web. Strengthening Core Skills: Probability and The Birthday Paradox. Technology Extension: Nth Terms and the Nth Partial Sum. Calculator Exploration and Discover: The Normal Distribution Formula. Math in Action: Empirical versus Theoretical Probability. Appendix I: U.S. Customary and Metric Conversion Factors. Appedix II: Rounding, Estimation and Significant Digits. Appendix III: Rational Expressions and the Least Common Denominator. Appendix IV: Augmented Matrices and Matrix Inverses. Appendix V: Deriving the Equation of a Conic. Appendix VI: Basic Principles for Good Programming. 53

57 PRECALCULUS SCHAUM S OUTLINE OF COLLEGE ALGEBRA Third Edition By Robert Moyer, Ph.D., Fort Valley State College, and Murray R. Spiegel, Deceased 2007 (December 2005) / 376 pages / Softcover ISBN-13: / MHID: A Schaum s Publication Algebra, the foundation for all higher mathematics, is explained to both beginners and those reviewing algebra for further work in math, science, and engineering. This superior study guide--with a first edition that sold more than 600,000 copies--examines the most current terminology, emphasis, and technology. The new edition also includes: Greater emphasis on graphing calculators Clarified material on logarithms and determinants A simplified review of fractions New Trigonometry TRIGONOMETRY WITH MATHZONE By John Coburn, St Louis Community College- Flors Valley SCHAUM S EASY OUTLINE: College Algebra By Murray R. Spiegel (Deceased) and Robert Moyer, Fort Valley State College 2000 / 160 pages ISBN-13: / MHID: A Scahum s Publication Functions, Limits, Continuity. Fundamental Differentiation. Implicit Differentiation. Tangents and Normals. Maxima and Minima. Differentiating for Special Functions. Implicit Differentiating. The Law of the Mean. Indeterminate Forms. Differentials. Curve Tracing. Fundamental Integration. Applications of Indefinite Integrals. The Definite Integral. Plane Areas of Integration. Exponential and Logarithmic Functions. Exponential Growth and Decay. Improper Integrals (January 2007) ISBN-13: / MHID: Browse This trigonometry text is written in a friendly and an easy to understand manner in order to help students understand the concepts presented. This feature combined with ample examples, a broad range of exercises, and engaging real-world applications, give the student the right tools to succeed. There are specific features and exercise problems to incorporate graphing calculator technology for those interested, however the material is presented in a way so that it may be skipped for those not utilizing technology. Features Exercises--a wealth of exercises support the text s main ideas, and due to their range of difficulty, there is strong support for weaker students, while advanced students are challenged to reach even further. Examples--abundant examples carefully prepare the students for homework and exams. Easily located on the page, Coburn s numerous examples expose the learner to more exercise types than most other texts. Applications--large quantity of applications that explore a wide variety of interests and illustrate how mathematics is connected to other disciplines and the world around us. Student-friendly exposition--coburn provides a smooth and conversational writing style that includes helpful hints, mathematical connections, cautions and opportunities for further exploration. MATHZONE--MathZone sets the bar for classroom technology. Algorithmically generated problems, video lectures, interactive exercise walk-throughs, as well as, online testing and assessment using ALEKS technology, which all feed to a unified gradebook. www. mathzone.com ALEKS (Assessment and Learning in Knowledge Spaces)--an artificial intelligence-based system for mathematics and statistics learning, available online 24/7. Using unique adaptive questioning, ALEKS accurately assesses what topics each students knows and then determines exactly what each student is ready to learn next. ALEKS interacts with a student much as a skilled human tutor would, moving between explanation and practice as needed, correcting and analyzing errors, defining terms and changing topics on request, and helping them master the course content more quickly and easily. www. highed.aleks.com. 54

58 PRECALCULUS Chapter 1: An Introduction to Trigonometry Preview 1.1 Angle Measure, Special Triangles, and Special Angles 1.2 The Trigonometry of Right Triangles 1.3 Trigonometry and the Coordinate Plane 1.4 Unit Circles and Trigonometric Functions Chapter 2: Trigonometric Graphs and Models 2.1 Graphs of Sine and Cosine Functions 2.2 Graphs of Tangent and Cotangent Functions 2.3 Transformations and Applications of Trigonometric Graphs 2.4 Trigonometric Models Chapter 3: Trig Identities: Their Purpose, Place, and Application Preview 3.1 Fundamental Identities and Families of Identities 3.2 Constructing and Verifying Identities 3.3 The Sum and Difference Identities 3.4 Double Angle, Half Angle, and Product-to-Sum Identities Chapter 4: Trigonometric Equations Preview 4.1 One-to-One and Inverse Functions 4.2 The Inverse Trig Functions and their Application 4.3 Solving Basic Trig Equations 4.4 General Trig Equations and Applications 4.5 Parametric Equations and Graphs Chapter 5: Applications of Trigonometry Preview 5.1 Oblique Triangles and the Law of Sines 5.2 Law of Sines and the Ambiguous Case 5.3 The Law of Cosines 5.4 Vectors and Vector Diagrams 5.5 Vectors Applications and the Dot Product 5.6 Complex Numbers 5.7 Complex Numbers in Trigonometric Form 5.8 Demoivre s Theorem and the Nth Roots Theorem Chapter 6: Conic Sections and Polar Coordinates Preview 6.1 The Circle and the Ellipse 6.2 The Hyperbola 6.3 Foci and the Analytic Ellipse and Hyperbola 6.4 The Analytic Parabola 6.5 Polar Coordinates, Equations, and Graphs 6.6 More on the Conic Sections: Rotations of Axes and Polar Form INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: TRIGONOMETRY Revised Third Edition By John D Baley, Cerritos College and Gary Sarell, Cerritos College 2003 ISBN-13: / MHID: PREFACE CHAPTER 1: Measurement of Angles, Arcs and Sectors. Using Radians, Degrees, or Grads to Measure Angles. Length of an Arc and Area of a Sector of a Circle. Circular Motion. Key Ideas. Review Test. Chapter 2: The Trigonometric Functions Definition of the Six Trigonometric Functions. Values of the Trigonometric Functions for 0, 30, 45, 60, 90, 180 degree Angles. Trigonometric Functions for Right Triangles. Solving Right Triangles. Applications of Right Triangle Trigonometry. Circular Functions. Key Ideas. Review Test. Chapter 3: Graphs of the Trigonometric Functions Graphing Generic Sine and Cosine Functions. Shifting Generic Curves Right/Left or Up/Down. Using the Graphing Calculator to Graph Functions by Addition of Ordinates. Graphing the Tangent and Cotangent Functions. Graphing the Secant and Cosecant Functions. Qualitative Analysis of Trigonometric Functions. Key Ideas. Review Test. Chapter 4: Inverse Trigonometric Functions Relations, Functions, and Their Inverses. Inverse of the Trigonometric Functions. Finding Inverses of Trigonometric Functions Using a Calculator. Key Ideas. Review Test. Chapter 5: Basic Trigonometric Identities Fundamental Identities. Opposite Angle Identities. Additional Techniques to Prove Identities. Key Ideas. Review Test. Chapter 6: Sum and Difference Identities Sum and Difference Formulas for Cosine. Some Identities Useful in Calculus. Tan ( ). Identities Involving Sums and Differences of n or +n. Key Ideas. Review Test. Chapters 1-6 Cumulative Review. Chapter 7: Additional Identities Double-Angle Identities. Half-Angle Identities. Identities to Rewrite Sums and Products. Key Ideas. Review Test. Chapter 8: Trigonometric Equations Solving Basic Trigonometric Equations. Solving Trigonometric Equations Involving Factoring. Solving Trigonometric Equations Where the Argument is a Function. Using Identities to Solve Trigonometric Equations. Applications. Key Ideas. Review Test. Chapter 9: Laws of Sines and Law of Cosines Derivation of the Law of Sines. 55

59 PRECALCULUS The Ambiguous Case. Applications of the Law of Sines. Derivations of the Law of Cosines. Applications of the Law of Cosines. Area of a Triangle. Key Ideas. Review Test. Chapter 10: Vectors Addition of Vectors. Geometric Resolution of Vectors. Algebraic Resolution of Vectors. Work, Inclined Planes, and the Dot Product. Key Ideas. Review Test. Chapter 11: Complex Numbers Algebraic Operations with Complex Numbers. Trigonometric and Polar Representation of Complex Numbers. DeMoivre s Theorem. Key Ideas. Review Test. Chapter 12: Polar Coordinates The Polar Coordinate System. Parametric Equations. Other Curves in Polar Coordinates. Key Ideas. Review Test. Chapters 1-12 Cumulative Review. Appendix Rounding Off And Significant Figures. Selected Answers. Index SCHAUM S OUTLINE OF TRIGONOMETRY Fourth Edition By Robert Moyer, Fort Valley State University and Frank Ayres (deceased) 2008 (July 2008) / 211 pages ISBN-13: / MHID: A Schaum s Publication A classic Schaum s bestseller, thoroughly updated to match the latest course scope and sequence. The ideal review for the hundreds of thousands of college and high school students who enroll in trigonometry courses. CONTENTS 1. Angles and Applications 2. Trigonometric Functions of a General Angle 3. Trigonometric Functions of an Acute Angle 4. Solutions of Right Triangles 5. Practical Applications 6. Reduction to Functions of Positive Acute Angles 7. Variation and Graphs of the Trigonometric Functions 8. Basic Relationships and Identities 9. Trigonometric Functions of Two Angles 10. Sum, Difference, and Product Formulas 11. Oblique Triangles 12. Area of a Triangle 13. Inverses of Trigonometric Functions 14. Trigonomeric Equations 15. Complex Numbers College Algebra with Trigonometry New International Edition COLLEGE ALGEBRA WITH TRIGONOMETRY Eighth Edition By Raymond A Barnett, Merritt College, Michael Ziegler and Karl Byleen of Marquette University 2008 (February 2007) ISBN-13: / MHID: ISBN-13: / MHID: [IE] Browse The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. College Algebra with Trigonometry, 7/E, introduces a right angle approach to trigonometry and can be used in one or two semester college algebra with trig or precalculus courses. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, the students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept that is being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A Smart CD is packaged with the seventh edition of the book. This CD reinforces important concepts, and provides students with extra practice problems. New to this edition Mathematical Modeling and Data Analysis: A focus on mathematical modeling and data analysis, specifically establishing a step by step process for understanding word problems and gathering the data from said problems. Objective Based Learning: Introductory section objectives have been expanded to include the what and why of the objectives, followed by icons within the text identifying the specific areas of focus. A summary of chapter objectives will now be featured in the chapter summary material. Graphical Interpretation: Throughout both examples and exercises, this feature focuses on the importance of learning to read and extract data from a given graph. This is developed by first presenting a graph and using a problem solving approach to read said graph. This focus aids in conceptualizing functions and building mathematical models. Throughout both examples and exercises, this feature focuses on the importance of learning to read and extract data from a given graph. This is developed by first presenting a graph and using a problem solving approach to read said graph. This focus aids in conceptualizing functions and building mathematical models. 56

60 PRECALCULUS Chapter R: Basic Algebraic Operations R-1 Algebra and Real Numbers R-2 Exponents R-3 Radicals R-4 Polynomials: Basic Operations R-5 Polynomials: Factoring R-6 Rational Expressions: Basic Operations Chapter R Review Chapter R Group Activity: Rational Number Representations Chapter 1: Equations and Inequalities 1-1 Linear Equations and Applications 1-2 Linear Inequalities 1-3 Absolute Value 1-4 Complex Numbers 1-5 Quadratic Equations and Applications 1-6 Equations Involving Radicals Chapter 1 Review Chapter 1 Group Activity: Solving a Cubic Equation Chapter 2: Graphs 2-1 Cartesian Coordinate system 2-2 Distance in the Plane 2-3 Equations of a line 2-4 Linear Equations and Models Chapter 2 Review Chapter 2 Group Activity: Rates of Change Chapter 3: Functions 3-1 Functions 3-2 Graphing Functions 3-3 Transformations of Functions 3-4 Quadratic Functions 3-5 Combining Functions; Composition 3-6 Inverse Functions Chapter 3 Review Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long- Distance Calling Plan Chapters 1-3 Cumulative Review Exercises Chapter 4: Polynomials and Rational Functions 4-1 Polynomial Functions and Models 4-2 Real Zeros and Polynomial Inequalities 4-3 Complex Zeros and Rational Zeros of Polynomials 4-4 Rational Functions and Inequalities 4-5 Variation and Modeling Chapter 4 Review Chapter 4 Group Activity: Interpolating Polynomials Chapter 5: Exponential and Logarithmic Functions 5-1 Exponential Functions 5-2 Exponential Models 5-3 Logarithmic Functions 5-4 Logarithmic Models 5-5 Exponential and Logarithmic Equations Chapter 5 Review Chapter 5 Group Activity: Growth of Increasing Functions Chapters 4-5 Cumulative Review Exercises Chapter 6: Trigonometric Functions 6-1 Angles and Their Measure 6-2 Right-Triangle Trigonometry 6-3 Trigonometric Functions: A Unit Circle Approach 6-4 Trigonometric Functions: Properties and Graphs 6-5 More General Trigonometric Functions 6-6 Inverse Trigonometric Functions Chapter 6 Review Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer Chapter 7: Trigonometric Identities and Conditional Equations 7-1 Basic Identities and Their Use 7-2 Sum, Difference, and Cofunction Identities 7-3 Double-Angle and Half-Angle Identities 7-4 Product-Sum and Sum-Product Identities 7-5 Trigonometric Equations Chapter 7 Review Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(bt + C): A Harmonic Analysis Tool Chapter 8: Additional Topics in Trigonometry 8-1 Law of Sines 8-2 Law of Cosines 8-3 Vectors in the Plane 8-4 Polar Coordinates and Graphs 8-5 Complex Numbers and De Moivre s Theorem Chapter 8 Review Chapter 8 Group Activity: Conic Sections and Planetary Orbits Chapters 6-8 Cumulative Review Exercises Chapter 9: Additional Topics in Analytic Geometry 9-1 Conic Sections; Parabolas 9-2 Ellipses 9-3 Hyperbolas 9-4 Rotation of Axes Chapter 9 Review Chapter 9 Group Activity: Focal Chords Chapter 10: Systems of Equations and Inequalities; Matrices 10-1 Systems of Linear Equations: Graphing and Substitution 10-2 Systems of Linear Equations: Elimination 10-3 Systems of Linear Equations: Gauss-Jordan Elimination 10-4 Matrices: Basic Operations 10-5 Systems of Linear Equations: Matrix Inverse Methods 10-6 Systems of Nonlinear Equations 10-7 Systems of Linear Inequalities in Two Variables 10-8 Linear Programming Chapter 10 Review Chapter 10 Group Activity: Modeling With Systems of Linear Equations Chapter 11: Sequences and Series 11-1 Sequences and Series 11-2 Mathematical Induction 11-3 Arithmetic and Geometric Sequences 11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations 11-5 Sample Spaces and Probability 11-6 Binomial Formula Chapter 11 Review Chapter 11 Group Activity: Sequences Specified by Recursion Formulas Chapters 9-11 Cumulative Review Exercises Appendix A: Special Topics A-1 Scientific Notation And Significant Digits A-2 Partial Fractions A-3 Parametric Equations Appendix B: Geometric Formulas COLLEGE ALGEBRA WITH TRIGONOMETRY: Graphs and Models By Raymond A Barnett, Merritt College Oakland; Michael R. Ziegler, Marquette University and Karl E Byleen, Marquette University 2005 / 1,120 pages ISBN-13: / MHID: (with MathZone) 1 Functions, Graphs, and Models: 1-1 Using Graphing Utilities. 1-2 Functions. 1-3 Functions: Graphs and Properties. 1-4 Functions: Graphs and Transformations. 1-5 Operations on Functions; Composition. 57

61 PRECALCULUS 1-6 Inverse Functions. 2 Modeling with Linear and Quadratic Functions 2-1 Linear Functions. 2-2 Linear Equations and Models. 2-3 Quadratic Functions. 2-4 Complex Numbers. 2-5 Quadratic Equations and Models. 2-6 Additional Equation-Solving Techniques. 2-7 Solving Inequalities. 3 Polynomial and Rational Functions 3-1 Polynomial Functions and Models. 3-2 Real Zero and Polynomial Inequalities. 3-3 Complex Zeros and Rational Zeros of Polynomials. 3-4 Rational Functions and Inequalities. 4 Exponential and Logarithmic Functions 4-1 Exponential Functions. 4-2 Exponential Models. 4-3 Logarithmic Functions. 4-4 Logarithmic Models. 4-5 Exponential and Logarithmic Equations. 5 Trigonometric Functions 5-1 Angles and Their Measure. 5-2 Right Triangle Trigonometry. 5-3 Trigonometric Functions: A Unit Circle Approach. 5-4 Properties of Trigonometric Functions. 5-5 More General Trigonometric Functions. 5-6 Inverse Trigonometric Functions. 6 Trigonometric Identities and Conditional Equations 6-1 Basic Identities and Their Use. 6-2 Sum, Difference, and Cofunction Identities. 6-3 Double-Angle and Half-Angle Identities. 6-4 Product-Sum and Sum-Product Identities. 6-5 Trigonometric Equations. 7 Additional Topics in Trigonometry 7-1 Law of Sines. 7-2 Law of Cosines. 7-3 Geometric Vectors. 7-4 Algebraic Vectors. 7-5 Polar Coordinates and Graphs. 7-6 Complex Numbers in Rectangular and Polar Forms. 7-7 De Moivre s Theorem. 8 Modeling with Linear Systems 8-1 Systems of Linear Equations in Two Variables. 8-2 Systems of Linear Equations and Augmented Matrices. 8-3 Gauss-Jordan Elimination. 8-4 Systems of Linear Inequalities. 8-5 Linear Programming. 9 Matrices and Determinants 9-1 Matrix Operations. 9-2 Inverse of a Square Matrix. 9-3 Matrix Equations and Systems of Linear Equations. 9-4 Determinants. 9-5 Properties of Determinants. 9-6 Determinants and Cramer s Rule. 10 Sequences, Induction, and Probability 10-1 Sequences and Series Mathematical Induction Arithmetic and Geometric Sequences Multiplication Principle, Permutations, and Combinations Sample Spaces and Probability Binomial Formula. 11 Additional Topics in Analytic Geometry 11-1 Conic Sections; Parabola Ellipse Hyperbola Translation of Axes Rotation of Axes Nonlinear Systems. Appendix A Basic Algebra Review. Appendix B Special Topics. Appendix C Geometric Formulas New Precalculus PRECALCULUS: GRAPHS AND MODELS Third Edition By Raymond A Barnett, Merritt College, Michael R Ziegler and Karl E Byleen of Marquette University, David Sobecki, Miami University- Hamilton 2009 (February 2008) ISBN-13: / MHID: X The Barnett Graphs & Models series in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, real-world data analysis and modeling, and problem solving rather than mathematical theory. Many examples feature side-by-side algebraic and graphical solutions, and each is followed by a matched problem for the student to work. This active involvement in the learning process helps students develop a more thorough understanding of concepts and processes. A hallmark of the Barnett series, the function concept serves as a unifying theme. A major objective of this book is to develop a library of elementary functions, including their important properties and uses. Employing this library as a basic working tool, students will be able to proceed through this course with greater confidence and understanding as they first learn to recognize the graph of a function and then learn to analyze the graph and use it to solve the problem. Applications included throughout the text give the student substantial experience in solving and modeling real world problems in an effort to convince even the most skeptical student that mathematics is really useful. New to this edition The narrative has been extensively reworked in order to make the language less formal and more engaging for students. A new interior design offers a cleaner presentation of concepts and pedagogy. More examples featuring side-by-side algebraic and graphical solutions have been added to better integrate solution methods. Annotated steps, in small colored type, are used more frequently to walk students through each critical step in the problem-solving process. Expanded exercise sets provide additional practice, especially at the easy to moderate levels. An Annotated Instructor s Edition is now available for instructors and provides answers to each problem in the exercise set on the same page as the problem appears. MATHZONE McGraw-Hill s MathZone is a complete, online tutorial and course management system for mathematics and statistics, designed for greater ease of use than any other system available. Instructors can create and share courses and assignments with colleagues and adjuncts in a matter of a few clicks of a mouse. All instructor teaching resources are accessed online, as well as student assignments, questions, e-professors, online tutoring and video lectures which are directly tied to text specific material. MathZone courses are customized to your textbook, but you can edit questions and algorithms, import your own content, create announcements and due dates for assignments. MathZone has automatic grading and reporting of easy-to-assign algorithmically generated homework, quizzing and testing. Student activity within 58

62 PRECALCULUS MathZone is automatically recorded and available to you through a fully integrated grade book than can be downloaded to Excel. Go to to learn more. CHAPTER 1 FUNCTIONS, GRAPHS, AND MODELS 1-1 Using Graphing Utilities 1-2 Functions 1-3 Functions: Graphs and Properties 1-4 Functions: Graphs and Transformations 1-5 Operations on Functions; Composition 1-6 Inverse Functions Chapter 1 Review Chapter 1 Group Activity: Mathematical Modeling Choosing a Long Distance Calling Plan CHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNCTIONS 2-1 Linear Functions 2-2 Linear Equations and Models 2-3 Quadratic Functions 2-4 Complex Numbers 2-5 Quadratic Equations and Models 2-6 Additional Equation Solving Techniques 2-7 Solving Inequalities Chapter 2 Review Chapter 2 Group Activity: Mathematical Modeling in Population Studies Cumulative Review Exercise for Chapters 1 and 2 CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS 3-1 Polynomial Functions And Models 3-2 Polynomial Division 3-3 Real Zeros and Polynomial Inequalities 3-4 Complex Zeros and Rational Zeros of Polynomials 3-5 Rational Functions and Inequalities 3-6 Variation and Modeling Chapter 3 Review Chapter 3 Group Activity: Interpolating Polynomials CHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMIC FUNCTIONS 4-1 Exponential Functions 4-2 Exponential Models 4-3 Logarithmic Functions 4-4 Logarithmic Models 4-5 Exponential and Logarithmic Equations Chapter 4 Review Cumulative Review Chapters 3 and 4 Chapter 4 Group Activity: Comparing Regression Models Cumulative Review Exercise for Chapters 3 and 4 CHAPTER 5 TRIGONOMETRIC FUNCTIONS 5-1 Angles and Their Measure 5-2 Trigonometric Functions: A Unit Circle Approach 5-3 Solving Right Triangles 5-4 Properties of Trigonometric Functions 5-5 More General Trigonometric Functions and and Models 5-6 Inverse Trigonometric Functions Chapter 5 Review Chapter 5 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer CHAPTER 6 TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS 6-1 Basic Identities and Their Use 6-2 Sum, Difference, and Cofunction Identities 6-3 Double-Angle and Half-Angle Identities 6-4 Product-Sum and Sum-Product Identities 6-5 Trigonometric Equations Chapter 6 Review Chapter 6 Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C)--A Harmonic Analysis Tool CHAPTER 7 ADDITIONAL TOPICS IN TRIGONOMETRY 7-1 Law of Sines 7-2 Law of Cosines 7-3 Vectors in the Plane 7-4 Polar Coordinates and Graphs 7-5 Complex Numbers and De Moivre s Theorem Chapter 7 Review Chapter 7 Group Activity: Conic Sections and Planetary Orbits Cumulative Review Exercise for Chapters 5, 6, and 7 CHAPTER 8 MODELING WITH SYSTEMS OF EQUATIONS AND INEQUALITIES 8-1 Systems of Linear Equations in Two Variables 8-2 Systems of Linear Equations in Three Variables 8-3 Systems of Linear Inequalities 8-4 Linear Programming Chapter 8 Review Chapter 8 Group Activity: Modeling with Systems of Equations CHAPTER 9 MATRICES AND DETERMINANTS 9-1 Matrix Solutions to Linear Systems 9-2 Matrix Operations 9-3 Inverse of a Square Matrix 9-4 Matrix Equations and Systems of Linear Equations 9-5 Determinants 9-6 Properties of Determinants 9-7 Determinants and Cramer s Rule Chapter 9 Review Chapter 9 Group Activity: Using Matrices to Find Cost, Revenue, and Profit Cumulative Review Exercise for Chapters 8 and 9 CHAPTER 10 SEQUENCES, INDUCTION, PROBABILITY 10-1 Sequences and Series 10-2 Mathematical Induction 10-3 Arithmetic and Geometric Sequences 10-4 Multiplication Principle, Permutations, and Combinations 10-5 Sample Spaces and Probability 10-6 Binomial Formula Chapter 10 Review Chapter 10 Group Activity: Sequences Specified by Recursion Formulas CHAPTER 11 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY 11-1 Conic Sections; Parabola 11-2 Ellipse 11-3 Hyperbola 11-4 Systems of Nonlinear Equations 11-5 Rotation of Axes Chapter 11 Review Chapter 11 Group Activity: Focal Chords Cumulative Review Exercise for Chapters 10 and 11 Appendix A BASIC ALGEBRA REVIEW A-1 Algebra and Real Numbers A-2 Exponents A-3 Radicals A-4 Polynomials: Basic Operations A-5 Polynomials: Factoring A-6 Rational Expressions: Basic Operations A-7 Linear Equations and Inequalities A-8 Cartesian Coordinate System A-9 Basic Formulas in Analytic Geometry Appendix A Review Appendix A Group Activity: Rational Number Representations Appendix B Special Topics B-1 Significant Digits B-2 Partial Fractions B-3 Parametric Equations Appendix C Geometric Formulas 59

63 PRECALCULUS New PRECALCULUS WITH LIMITS Sixth Edition By Raymond A Barnett, Merritt College, Michael R Ziegler and Karl E Byleen of Marquette University 2008 (March 2007) ISBN-13: / MHID: The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension, emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. Suitable for a one or two semester college algebra with trigonometry or precalculus course, Precalculus with Limits introduces a unit circle approach to trigonometry and includes a chapter on limits to provide students with a solid foundation for calculus concepts. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A MathZone site featuring algorithmic exercises, videos, and other resources accompanies the text. New to this edition Preview of Calculus: Unique to this edition, a chapter on limits offers coverage of computing limits algebraically, limits at infinity, and the derivative, in addition to other topics, to better prepare students for calculus. Objective Based Learning: Introductory section objectives have been expanded to include the what and why of the objectives, followed by icons within the text identifying the specific areas of focus. A summary of chapter objectives will now be featured in the chapter summary material. Mathematical Modeling and Data Analysis: A focus on mathematical modeling and data analysis, specifically establishing a step by step process for understanding word problems and gathering the data from said problems. Chapter R: Basic Algebraic Operations R-1 Algebra and Real Numbers R-2 Exponents R-3 Radicals R-4 Polynomials: Basic Operations R-5 Polynomials: Factoring R-6 Rational Expressions: Basic Operations Chapter R Review Chapter R Review Exercises Chapter R Group Activity: Rational and Irrational Numbers Chapter 1: Equations and Inequalities 1-1 Linear Equations and Applications 1-2 Linear Inequalities 1-3 Absolute Value in Equations and Inequalities 1-4 Complex Numbers 1-5 Quadratic Equations and Applications 1-6 Additional Equation-Solving Techniques Chapter 1 Review Chapter 1 Review Exercises Chapter 1 Group Activity: Solving a Cubic Equation Chapter 2: Graphs 2-1 Cartesian Coordinate System 2-2 Distance in the Plane 2-3 Equations of a Line 2-4 Linear Equations and Models Chapter 2 Review Chapter 2 Review Exercises Chapter 2 Group Activity: Rates of Change Chapter 3: Functions 3-1 Functions 3-2 Graphing Functions 3-3 Transformations of Functions 3-4 Quadratic Functions 3-5 Operations on Functions; Composition 3-6 Inverse Functions Chapter 3 Review Chapter 3 Review Exercises Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long- Distance Calling Plan Cumulative Review Exercises Chapters 1-3 Chapter 4: Polynomials and Rational Functions 4-1 Polynomial Functions and Models 4-2 Real Zeros and Polynomial Inequalities 4-3 Complex Zeros and Rational Zeros of Polynomials 4-4 Rational Functions and Inequalities 4-5 Variation and Modeling Chapter 4 Review Chapter 4 Review Exercises Chapter 4 Group Activity: Interpolating Polynomials Chapter 5: Exponential and Logarithmic Functions 5-1 Exponential Functions 5-2 Exponential Models 5-3 Logarithmic Functions 5-4 Logarithmic Models 5-5 Exponential and Logarithmic Equations Chapter 5 Review Chapter 5 Review Exercises Chapter 5 Group Activity: Comparing Regression Models Cumulative Review Exercises Chapters 4-5 Chapter 6: Trigonometric Functions 6-1 Angles and Their Measure 6-2 Trigonometric Functions: A Unit Circle Approach 6-3 Solving Right Triangles 6-4 Properties of Trigonometric Functions 6-5 More General Trigonometric Functions and Models 6-6 Inverse Trigonometric Functions Chapter 6 Review Chapter 6 Review Exercises Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer Chapter 7: Trigonometric Identities and Conditional Equations 7-1 Basic Identities and Their Use 7-2 Sum, Difference, and Cofunction Identities 7-3 Double-Angle and Half-Angle Identities 7-4 Product-Sum and Sum-Product Identities 7-5 Trigonometric Equations Chapter 7 Review Chapter 7 Review Exercises Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C): A Harmonic Analysis Tool Chapter 8: Additional Topics in Trigonometry 8-1 Law of Sines 8-2 Law of Cosines 8-3 Vectors in the Plane 8-4 Polar Coordinates and Graphs 8-5 Complex Numbers and De Moivre s Theorem Chapter 8 Review Chapter 8 Review Exercises Chapter 8 Group Activity: Conic Sections and Planetary Orbits Cumulative Review Exercises Chapters

64 PRECALCULUS Chapter 9: Additional Topics in Analytic Geometry 9-1 Conic Sections; Parabolas 9-2 Ellipse 9-3 Hyperbola 9-4 Translation and Rotation of Axes Chapter 9 Review Chapter 9 Review Exercises Chapter 9 Group Activity: Focal Chords Chapter 10: Systems of Equations and Inequalities; Matrices 10-1 Systems of Linear Equations in Two Variables 10-2 Systems of Linear Equations in Three Variables 10-3 Systems of Linear Equations: Gauss-Jordan Elimination 10-4 Matrix Operations 10-5 Systems of Linear Equations: Matrix Inverse Methods 10-6 Systems of Nonlinear Equations 10-7 Systems of Linear Inequalities in Two Variables 10-8 Linear Programming Chapter 10 Review Chapter 10 Review Exercises Chapter 10 Group Activity: Modeling With Systems of Linear Equations Chapter 11: Sequences, Induction, and Probability 11-1 Sequences and Series 11-2 Mathematical Induction 11-3 Arithmetic and Geometric Sequences 11-4 Multiplication Principle, Permutations, and Combinations 11-5 Sample Spaces and Probability 11-6 Binomial Formula Chapter 11 Review Chapter 11 Review Exercises Chapter 11 Group Activity: Sequences Specified by Recursion Formulas Cumulative Review Exercises Chapters 9-11 Chapter 12 Limits: An Introduction to Calculus 12-1 Introduction to Limits 12-2 Computing Limits Algebraically 12-3 Limits at Infinity 12-4 The Derivative 12-5 Area and Calculus Chapter 12 Review Chapter 12 Review Exercises Chapter 12 Group Activity: Derivatives of Exponential and Log Functions Appendix A: Special Topics A-1 Scientific Notation and Significant Digits A-2 Partial Fractions A-3 Parametric Equations Appendix B: Geometric Formulas Student Answers Subject Index Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES New International Edition PRECALCULUS WITH MATHZONE Sixth Edition By Raymond Barnett, Merritt College, Michael Ziegler and Karl Byleen of Marquette University 2008 (February 2007) ISBN-13: / MHID: ISBN-13: / MHID: [IE] The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. Precalculus introduces a unit circle approach to trigonometry and can be used in one or two semester college algebra with trig or precalculus courses. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A Smart CD is packaged with the seventh edition of the book. This CD reinforces important concepts, and provides students with extra practice problems. New to this edition Preview of Calculus: This precalculus text includes a further focus on those skills considered prerequisite for calculus. Foundations of Calculus icons are included throughout identifying key examples and exercises needed to build this skill set. A review chapter summarizing these skills will round out the text. Objective Based Learning: Introductory section objectives have been expanded to include the what and why of the objectives, followed by icons within the text identifying the specific areas of focus. A summary of chapter objectives will now be featured in the chapter summary material. Mathematical Modeling and Data Analysis: A focus on mathematical modeling and data analysis, specifically establishing a step by step process for understanding word problems and gathering the data from said problems. Chapter R: Basic Algebraic Operations R-1 Algebra and Real Numbers R-2 Exponents R-3 Radicals R-4 Polynomials: Basic Operations R-5 Polynomials: Factoring R-6 Rational Expressions: Basic Operations Chapter R Review Chapter R Group Activity: Rational Number Representations Chapter 1: Equations and Inequalities 1-1 Linear Equations and Applications 1-2 Linear Inequalities 1-3 Absolute Value 1-4 Complex Numbers 1-5 Quadratic Equations and Applications 1-6 Equations Involving Radicals Chapter 1 Review 61

65 PRECALCULUS Chapter 1 Group Activity: Solving a Cubic Equation Chapter 2: Graphs 2-1 Cartesian Coordinate system 2-2 Distance in the Plane 2-3 Equations of a line 2-4 Linear Equations and Models Chapter 2 Review Chapter 2 Group Activity: Rates of Change Chapter 3: Functions 3-1 Functions 3-2 Graphing Functions 3-3 Transformations of Functions 3-4 Quadratic Functions 3-5 Combining Functions; Composition 3-6 Inverse Functions Chapter 3 Review Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long- Distance Calling Plan Chapters 1-3 Cumulative Review Exercises Chapter 4: Polynomials and Rational Functions 4-1 Polynomial Functions and Models 4-2 Real Zeros and Polynomial Inequalities 4-3 Complex Zeros and Rational Zeros of Polynomials 4-4 Rational Functions and Inequalities 4-5 Variation and Modeling Chapter 4 Review Chapter 4 Group Activity: Interpolating Polynomials Chapter 5: Exponential and Logarithmic Functions 5-1 Exponential Functions 5-2 Exponential Models 5-3 Logarithmic Functions 5-4 Logarithmic Models 5-5 Exponential and Logarithmic Equations Chapter 5 Review Chapter 5 Group Activity: Growth of Increasing Functions Chapters 4-5 Cumulative Review Exercises Chapter 6: Trigonometric Functions 6-1 Angles and Their Measure 6-2 Trigonometric Functions: A Unit Circle Approach 6-3 Solving Right Triangles 6-4 Trigonometric Functions: Properties and Graphs 6-5 More General Trigonometric Functions 6-6 Inverse Trigonometric Functions Chapter 6 Review Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer Chapter 7: Trigonometric Identities and Conditional Equations 7-1 Basic Identities and Their Use 7-2 Sum, Difference, and Cofunction Identities 7-3 Double-Angle and Half-Angle Identities 7-4 Product-Sum and Sum-Product Identities 7-5 Trigonometric Equations Chapter 7 Review Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(bt + C): A Harmonic Analysis Tool Chapter 8: Additional Topics in Trigonometry 8-1 Law of Sines 8-2 Law of Cosines 8-3 Vectors in the Plane 8-4 Polar Coordinates and Graphs 8-5 Complex Numbers and De Moivre s Theorem Chapter 8 Review Chapter 8 Group Activity: Conic Sections and Planetary Orbits Chapters 6-8 Cumulative Review Exercises Chapter 9: Additional Topics in Analytic Geometry 9-1 Conic Sections; Parabolas 9-2 Ellipses 9-3 Hyperbolas 9-4 Rotation of Axes Chapter 9 Review Chapter 9 Group Activity: Focal Chords Chapter 10: Systems of Equations and Inequalities; Matrices 10-1 Systems of Linear Equations: Graphing and Substitution 10-2 Systems of Linear Equations: Elimination 10-3 Systems of Linear Equations: Gauss-Jordan Elimination 10-4 Matrices: Basic Operations 10-5 Systems of Linear Equations: Matrix Inverse Methods 10-6 Systems of Nonlinear Equations 10-7 Systems of Linear Inequalities in Two Variables 10-8 Linear Programming Chapter 10 Review Chapter 10 Group Activity: Modeling With Systems of Linear Equations Chapter 11: Sequences and Series 11-1 Sequences and Series 11-2 Mathematical Induction 11-3 Arithmetic and Geometric Sequences 11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations 11-5 Sample Spaces and Probability 11-6 Binomial Formula Chapter 11 Review Chapter 11 Group Activity: Sequences Specified by Recursion Formulas Chapters 9-11 Cumulative Review Exercises Appendix A: Special Topics A-1 Scientific Notation and Significant Digits A-2 Partial Fractions A-3 Parametric Equations Appendix B: Geometric Formulas PRECALCULUS Concepts, Connections and Applications By John W Coburn, St Louis Community College-Flors Valley 2007 (April 2006) ISBN-13: / MHID: (with MathZone) Browse This Precalculus text is written in a friendly and an easy to understand manner in order to help students understand the concept presented. This feature combined with ample examples, various types of exercises, and well thought out, real-world applications give the student the right tools to succeed. There are specific features and exercise problems to incorporate graphing calculator technology for those interested, however the material is presented in a way so that it may be skipped for those not utilizing technology. Chapter 1: Equations and Inequalities 1.1 Linear Equations, Formulas and Problem Solving 1.2 Linear Inequalities in One Variable with Applications 1.3 Solving Polynomial and Other Equations 1.4 Complex Numbers 1.5 Solving Non-Factorable Quadratic Equations Chapter 2: Functions and Graphs 2.1 Rectangular Coordinates and the Graph of a Line 2.2 Relations, Functions and Graphs 2.3 Linear Functions and Rates of Change 2.4 Quadratic and Other Toolbox Functions 2.5 Functions and Inequalities--A Graphical View 2.6 Regression, Technology and Data Analysis Chapter 3: Operations on Functions and Analyzing Graphs 3.1 The Algebra and Composition of Functions 3.2 One-to-One and Inverse Functions 3.3 Toolbox Functions and Transformations 3.4 Graphing General Quadratic Functions 62

66 PRECALCULUS 3.5 Asymptotes and Simple Rational Functions 3.6 Toolbox Applications: Direct and Inverse Variation 3.7 Piecewise-Defined Functions 3.8 Analyzing the Graph of a Function Chapter 4: Polynomial and Rational Functions 4.1 Polynomial Long Division and Synthetic Division 4.2 The Remainder and Factor Theorems 4.3 Zeroes of Polynomial Functions 4.4 Graphing Polynomial Functions 4.5 Graphing Rational Functions 4.6 Additional Insights into Rational Functions 4.7 Polynomial and Rational Inequalities--Analytical View Chapter 5: Exponential and Logarithmic Functions 5.1 Exponential Functions 5.2 Logarithms and Logarithmic Functions 5.3 The Natural Logarithmic Function and Properties of Logarithms 5.4 Exponential/Logarithmic Equations and Applications 5.5 Applications from Investment, Finance and Physical Science 5.6 Exponential, Logarithmic and Logistic Regression Models Chapter 6: An Introduction to Trigonometric Functions 6.0 An Introduction to Cycles and Periodic Functions (on the Web) 6.1 Radian Measure and the Trigonometric Functions 6.3 Graphs of the Sine and Cosine Functions 6.4 Graphs of the Tangent and Cotangent Functions 6.5 Transformations and Applications of Trigonometric Graphs 6.6 Angle Measure, Special Triangles and Special Angles 6.7 The Trigonometry of Right Triangles 6.8 Trigonometry and the Coordinate Plane Chapter 7: Trigonometric Identities, Inverses and Equations 7.1 Fundamental Identities and Families of Identities 7.2 Constructing and Verifying Identities 7.3 The Sum and Difference Identities 7.4 Double Angle, Half Angle and Product-to-Sum Identities 7.5 The Inverse Trig Functions and their Application 7.6 Solving Basic Trig Equations 7.7 General Trig Equations and Applications 7.8 Trigonometric Models and Sinusoidal Regression Chapter 8: Applications of Trigonometry 8.1 Oblique Triangles and the Law of Sines 8.2 Law of Sines and the Ambiguous Case 8.3 the Law of Cosines 8.4 Vectors and Vector Diagrams 8.5 Vectors Applications and the Dot Product 8.6 Complex Numbers in Trigonometric Form; Products and Quotients 8.7 Demoivre s Theorem and the Nth Roots Theorem Chapter 9: Systems of Equations and Inequalities 9.1 Linear Systems in Two Variables with Applications 9.2 Linear Systems in Three Variables with Applications 9.3 Systems of Linear Inequalities and Linear Programming 9.4 Systems and Absolute Value Equations and Inequalities 9.5 Solving Linear Systems using Matrices and Row Operations 9.6 The Algebra of Matrices 9.7 Solving Linear Systems using Matrix Equations 9.8 Matrix Applications: Cramer s Rule, Partial Fractions and More Chapter 10: Topics From Analytical Geometry 10.0 An Introdcution to Analytical Geometry (on the Web) 10.1 The Circle and the Ellipse 10.2 The Hyperbola 10.3 Non-Linear Systems of Equations and Inequalities 10.4 Foci and the Analytic Ellipse and Hyperbola 10.5 The Analytic Parabola 10.6 Polar Coordinates, Equations and Graphs 10.7 More on the Conic Sections: Rotation of Axes and Polar Form 10.8 Parametric Equations of Graphs Chapter 11: Additional Topics In Algebra 11.1 Sequences and Series 11.2 Arithmetic Sequences 11.3 Geometric Sequences 11.4 Mathematical Induction 11.5 Fundamentals of Quick-Counting 11.6 Counting Techniques: Permutations and Combinations 11.7 Introduction to Probability 11.8 The Binomial Theorem and Binomial Probabilities 11.9 Conditional Probability and Expected Value Probability and the Normal Curve--Applications for Today Chapter R: Review of Basic Concepts and Skills R.1 The Language, Notation and Numbers of Mathematics R.2 Algebraic Expressions and the Properties of Real Numbers. R.3 Exponents, Polynomials and Operations on Polynomials R.4 Factoring Polynomials R.5 Rational Expressions R.6 Radicals and Rational Exponents R.7 Geometry Review with Unit Conversions R.8 Expressions, Tables and Graphing Calculators. SCHAUM S OUTLINE OF PRECALCULUS Second Edition By Fred Safier, City College of San Francisco 2009 (July 2008) / 426 pages ISBN-13: / MHID: A Schaum s Publication A classic Schaum s bestseller, thoroughly updated to match the latest course scope and sequence. The ideal review for the hundreds of thousands of college and high school students who enroll in precalculus courses. CONTENTS 1. Polynomials 2. Exponents 3. Rational and Radical Expressions 4. Linear and Non-Linear Equations 5. Linear and Non-Linear Inequalities 6. Absolute Value in Equations and Inequalities 7. Analytic Geometry 8. Functions 9. Linear Functions 10. Transformations and Graphs 11. Quadratic Functions 12. Algebra of Functions 13. Polynomial Functions 14. Rational Functions 15. Algebraic Functions; Variations 16. Exponential Functions 17. Logarithmic Functions 18. Exponential and Logarithmic Equations 19. Trigonometric Functions 20. Graphs of Trignometric Functions 21. Angles 22. Trigonometric Identities and Equations 23. Sum, Difference, Multiple, and Half-Angle Formulas 24. Inverse Trigonometric Functions 25. Triangles 26. Vectors 27. Polar Coordinates; Parametric Equations 28. Trigonometric Form of Complex Numbers 29. Systems of Linear Equations 30. Gaussian and Gauss-Jordan Elimination 31. Partial Fraction 32. Decomposition 33. Non-Linear Systems of Equations 34. Introduction to Matrix Algebra 35. Matrix Multiplication and Inverses 36. Determinants and Cramer s Rule 37. Loci; Parabolas 38. Ellipses and Hyperbolas 63

67 PRECALCULUS 39. Rotation of Axes 40. Conic Sections 41. Sequences and Series 42. The Principle of Mathematical Induction 43. Special Sequences and Series 44. The Binomial Theorem 64

68 CALCULUS Applied/Business Calculus...67 Calculus and Analytic Geometry...69 Multi-Variable Calculus...80 Single Variable Calculus

69 NEW TITLES calculus 2008 Author ISBN-13 MHID Page Calculus: Late Transcendental Functions, 3e Smith Calculus: Multivariable: Late Transcendental Functions, 3e Smith X 80 Calculus, Single Variable: Late Transcendental Functions, 3e Smith

70 CALCULUS Applied / Business Calculus International Business APPLIED CALCULUS FOR BUSINESS, ECONOMICS, AND THE SOCIAL AND LIFE SCIENCES, expanded edition Ninth Edition By Laurence D. Hoffmann, Salomon Smith Barney and Gerald L. Bradley, all of Claremont Mckenna College 2007 (January 2006) / 576 pgs / Hardcover ISBN-13: / MHID: ISBN-13: / MHID: (with MathZone) ISBN-13: / MHID: (MP) ISBN-13: / MHID: [IE with MathZone] ISBN-13: / MHID: [IE] Browse Applied Calculus for Business, Economics, and the Social and Life Sciences introduces calculus in real-world contexts and provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, the life sciences, and the social sciences. This EXPANDED EDITION includes four additional chapters on Differential Equations, Infinite Series and Taylor Approximations, Probability, and Trigonometric Functions. The new Ninth Edition builds on the straightforward writing style, practical applications from a variety of disciplines, clear step-by-step problem solving techniques, and comprehensive exercise sets that have been hallmarks of Hoffmann/Bradley s success through the years. Preface. 1 Functions, Graphs, and Limits 1.1 Functions 1.2 The Graph of a Function 1.3 Linear Functions 1.4 Functional Models 1.5 Limits 1.6 One-Sided Limits and Continuity Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 1. Review Problems. Explore! Update. Think About It. 2 Differentiation: Basic Concepts. 2.1 The Derivative 2.2 Techniques of Differentiation 2.3 Product and Quotient Rules; Higher Order Derivatives 2.4 The Chain Rule. 2.5 Marginal Analysis and Approximations Using Increments 2.6 Implicit Differentiation and Related Rates. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 2. Review Problems. Explore! Update. Think About It. 3 Additional Applications of the Derivative 3.1 Increasing and Decreasing Functions; Relative Extrema 3.2 Concavity and Points of Inflection 3.3 Curve Sketching 3.4 Optimization 3.5 Additional Applied Optimization. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 3. Review Problems. Explore! Update. Think About It. 4 Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Differentiation of Logarithmic and Exponential Functions 4.4 Additional Exponential Models. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 4. Review Problems. Explore! Update. Think About It. 5 Integration 5.1 Antidifferentiation: The Indefinite Integral 5.2 Integration by Substitution 5.3 The Definite Integral and the Fundamental Theorem of Calculus. 5.4 Applying Definite Integration: Area Between Curves and Average Value 5.5 Additional Applications to Business and Economics 5.6 Additional Applications to the Life and Social Sciences. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 5 Review Problems. Explore! Update. Think About It. 6 Additional Topics in Integration 6.1 Integration by Parts; Integral Tables 6.2 Improper Integrals 6.3 Numerical Integration. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 6. Review Problems. Explore! Update. Think About It. 7 Calculus of Several Variables 7.1 Functions of Several Variables 7.2 Partial Derivatives 7.3 Optimizing Functions of Two Variables 7.4 The Method of Least-Squares 7.5 Constrained Optimization: The Method of Lagrange Multipliers 7.6 Double Integrals. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 7. Review Problems. Explore! Update. Think About It. 8 Differential Equations 8.1 Introduction to Differential Equations 8.2 First-Order Linear Differential Equations 8.3 Additional Applications of Differential Equations 8.4 Approximate Solutions of Differential Equations 8.5 Difference Equations. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 8. Review Problems. Explore! Update. Think About It. 9 Infinite Series and Taylor Series Approximations 9.1 Infinite Series 9.2 Tests for Convergence 9.3 Functions as Power Series; Taylor Series. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 9. Review Problems. Explore! Update. Think About It. 10 Probability and Calculus Discrete Random Variables 10.2 Continuous Random Variables 10.3 Expected Value and Variance of Continuous Random Variables 10.4 Normal and Poisson Probability Distributions. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 10. Review Problems. Explore! Update. Think About It. 11 Trigonometric Functions 11.1 The Trigonometric Functions 11.2 Differentiation and Integration of Trigonometric Functions 11.3 Additional Applications Involving Trigonometric Functions. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 11. Review Problems. Explore! Update. Think About It. Appendix A: Algebra Review A.1 A Brief Review of Algebra A.2 Factoring Polynomials and Solving Systems of Equations A.3 Evaluating Limits with L Hôpital s Rule. Appendix Summary. Important Terms, Symbols, and Formulas. Review Problems. Think About It. Tables I Powers of e II The Natural Logarithm (Base e) III Trigonometric Functions. Text Solutions Answers to Odd-Numbered Problems, Chapter Checkup Problems, and Chapter Review Problems. Index 67

71 CALCULUS International Edition CALCULUS FOR BUSINESS, ECONOMICS, AND THE SOCIAL AND LIFE SCIENCES, BRIEF EDITION Ninth Edition By Laurence D. Hoffmann, Salomon Smith Barney, and Gerald L. Bradley, Claremont Mckenna College 2007 (December 2005) / Hardcover with access card ISBN-13: / MHID: (with MathZone) ISBN-13: / MHID: (MP) ISBN-13: / MHID: [IE with MathZone] ISBN-13: / MHID: [IE] Browse Calculus for Business, Economics, and the Social and Life Sciences introduces calculus in real-world contexts and provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, the life sciences, and the social sciences. The new Ninth Edition builds on the straightforward writing style, practical applications from a variety of disciplines, clear step-by-step problem solving techniques, and comprehensive exercise sets that have been hallmarks of Hoffmann/Bradley s success through the years. Preface 1 Functions, Graphs, and Limits. 1.1 Functions. 1.2 The Graph of a Function. 1.3 Linear Functions. 1.4 Functional Models. 1.5 Limits. 1.6 One-Sided Limits and Continuity. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 1. Review Problems. Explore! Update. Think About It. 2 Differentiation: Basic Concepts. 2.1 The Derivative. 2.2 Techniques of Differentiation. 2.3 Product and Quotient Rules; Higher Order Derivatives. 2.4 The Chain Rule. 2.5 Marginal Analysis and Approximations Using Increments. 2.6 Implicit Differentiation and Related Rates. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 2. Review Problems. Explore! Update. Think About It. 3 Additional Applications of the Derivative. 3.1 Increasing and Decreasing Functions; Relative Extrema. 3.2 Concavity and Points of Inflection. 3.3 Curve Sketching. 3.4 Optimization. 3.5 Additional Applied Optimization. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 3. Review Problems. Explore! Update. Think About It. 4 Exponential and Logarithmic Functions. 4.1 Exponential Functions. 4.2 Logarithmic Functions. 4.3 Differentiation of Logarithmic and Exponential Functions. 4.4 Additional Exponential Models. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 4 Review Problems. Explore! Update. Think About It. 5 Integration 5.1 Antidifferentiation: The Indefinite Integral. 5.2 Integration by Substitution. 5.3 The Definite Integral and the Fundamental Theorem of Calculus. 5.4 Applying Definite Integration: Area Between Curves and Average Value. 5.5 Additional Applications to Business and Economics. 5.6 Additional Applications to the Life and Social Sciences Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 5. Review Problems Explore! Update. Think About It. 6 Additional Topics in Integration. 6.1 Integration by Parts; Integral Tables. 6.2 Introduction to Differential Equations. 6.3 Improper Integrals; Continuous Probability 6.4 Numerical Integration. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 6. Review Problems. Explore! Update Think About It. 7 Calculus of Several Variables. 7.1 Functions of Several Variables. 7.2 Partial Derivatives. 7.3 Optimizing Functions of Two Variables 7.4 The Method of Least-Squares. 7.5 Constrained Optimization: The Method of Lagrange Multipliers 7.6 Double Integrals over Rectangular Regions. Chapter Summary. Important Terms, Symbols, and Formulas. Checkup for Chapter 7 Review Problems Explore! Update Think About It. Appendix A: Algebra Review. A.1 A Brief Review of Algebra. A.2 Factoring Polynomials and Solving Systems of Equations A.3 Evaluating Limits with L Hôpital s Rule. Appendix Summary. Important Terms, Symbols, and Formulas. Review Problems. Think About It. Tables I Powers of e II The Natural Logarithm (Base e) Text Solutions Answers to Odd-Numbered Problems, Chapter Checkup Problems, and Chapter Review Problems Index INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: 68

72 CALCULUS BUSINESS CALCULUS DEMYSTIFIED By Rhonda Huettenmueller 2006 (December 2005) / 384 pages ISBN-13: / MHID: A Professional Publication This bestselling author of math titles uses practical business and mathematical examples to help you relate to essential concepts in calculus. Chapter 1: Algebra Review The slope and equation of a line Finding x-intercepts Solving equations Quadratic functions The vertex The maximum/minimum value of a quadratic function Increasing/decreasing intervals Some important exponent properties Chapter 2: Average rate of change Limits Chapter 3: Definition of derivative Properties of the derivative Instantaneous rates of change The tangent line The Power Rule The Product Rule The Quotient Rule The Chain Rule Layering different formulas Chapter 5: Applications Optimizing functions Maximizing revenue and profit, minimizing cost, and other optimizing problems Chapter 6: The second derivative Concavity Another method for optimizing functions Chapter 7: Implicit differentiation Chapter 8: Rational functions Limits and asymptotes Chapter 9: Using calculus to sketch graphs Graphs of polynomial functions Chapter 10: Exponents and Logarithm functions Using log properties to simplify differentiation Chapter 11: Integration The antiderivative Integration formulas The area under the curve More integration formulas Integration techniques Chapter 12: Applications of the integral New Calculus and Analytic Geometry International Edition CALCULUS: LATE TRANSCENDENTAL FUNCTIONS Third Edition By Robert Smith, Millersville University and Roland Minton, Roanoke College 2008 (January 2007) ISBN-13: / MHID: ISBN-13: / MHID: [IE] Browse Students who have used Smith/Minton s Calculus say it was easier to read than any other math book they ve used. That testimony underscores the success of the authors approach which combines the most reliable aspects of mainstream Calculus teaching with the best elements of reform, resulting in a motivating, challenging book. Smith/ Minton wrote the book for the students who will use it, in a language that they understand, and with the expectation that their backgrounds may have some gaps. Smith/Minton provide exceptional, reality-based applications that appeal to students interests and demonstrate the elegance of math in the world around us. New features include: Many new exercises and examples (for a total of 7,000 exercises and 1000 examples throughout the book) provide a careful balance of routine, intermediate and challenging exercises New exploratory exercises in every section that challenge students to make connections to previous introduced material. New commentaries ( Beyond Formulas ) that encourage students to think mathematically beyond the procedures they learn. New counterpoints to the historical notes, Today in Mathematics, stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. An enhanced discussion of differential equations and additional applications of vector calculus. Exceptional Media Resources: Within MathZone, instructors and students have access to a series of unique Conceptual Videos that help students understand key Calculus concepts proven to be most difficult to comprehend, 248 Interactive Applets that help students master concepts and procedures and functions, 1600 algorithms, and 113 e-professors. New to this edition Many new exercises that are written at the intermediate and rigorous level in response to requests by users of the 2nd Edition. A more standard organization. Every chapter was rewritten to be substantially more concise. New commentaries entitled Beyond Formulas. An enhanced discussion of differential equations and additional applications of vector calculus. 69

73 CALCULUS New counterpoints to the historical notes, Today in Mathematics, that stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. Chapter 0: Preliminaries 0.1 The Real Numbers and the Cartesian Plane 0.2 Lines and Functions 0.3 Graphing Calculators and Computer Algebra Systems 0.4 Trigonometric Functions 0.5 Transformations of Functions Chapter 1: Limits and Continuity 1.1 A Brief Preview of Calculus: Tangent Lines and the Length of a Curve 1.2 The Concept of Limit 1.3 Computation of Limits 1.4 Continuity and its Consequences / The Method of Bisections 1.5 Limits Involving Infinity / Asysmptotes 1.6 The Formal Definition of the Limit 1.7 Limits and Loss-of-Significance Errors / Computer Representation or Real Numbers Chaper 2: Differentiation 2.1 Tangent Lines and Velocity 2.2 The Derivative / Alternative Derivative Notations / Numerical Differentiation 2.3 Computation of Derivatives: The Power Rule / Higher Order Derivatives / Acceleration 2.4 The Product and Quotient Rules 2.5 The Chain Rule 2.6 Derivatives of the Trigonometric Functions 2.7 Implicit Differentiation 2.8 The Mean Value Theorem Chapter 3: Applications of Differentiation 3.1 Linear Approximations and Newton s Method 3.2 Maximum and Minimum Values 3.3 Increasing and Decreasing Functions 3.4 Concavity and the Second Derivative Test 3.5Overview of Curve Sketching 3.6Optimization 3.7 Related Rates 3.8 Rates of Change in Economics and the Sciences Chapter 4: Integration 4.1 Antiderivatives 4.2 Sums and Sigma Notation / Principle of Mathematical Induction 4.3 Area under a Curve 4.4 The Definite Integral / Average Value of a Function 4.5 The Fundamental Theorem of Calculus 4.6 Integration by Substitution 4.7 Numerical Integration / Error bounds for Numerical Integration Chapter 5: Applications of the Definite Integral 5.1 Area Between Curves 5.2 Volume: Slicing, Disks, and Washers 5.3 Volumes by Cylindrical Shells 5.4 Arc Length and Srface Area 5.5 Projectile Motion 5.6 Applications of Integration to Physics and Engineering Chapter 6: Exponentials, Logarithms and other Transcendental Functions 6.1 The Natural Logarithm 6.2 Inverse Functions 6.3 Exponentials 6.4 The Inverse Trigonometric Functions 6.5 The Calculus of the Inverse Trigonometric Functions 6.6 The Hyperbolic Function Chapter 7: First-Order Differential Equations 7.1 Modeling with Differential Equations / Growth and Decay Problems / Compound Interest 7.2 Separable Differential Equations / Logistic Growth 7.3 Direction Fields and Euler s Method 7.4 Systems of First-Order Differential Equations / Predator-Prey Systems 7.6 Indeterminate Forms and L Hopital s Rule / Improper Integrals / A Comparison Test 7.8 Probability / Chapter 8: First-Order Differential Equations 8.1 modeling with Differential Equations / Growth and Decay Problems / Compound Interest 8.2 Separable Differential Equations / Logistic Growth 8.3 Direction Fields and Euler s Method / Systems of First Order Equations Chapter 9: Infinite Series 9.1 Sequences of Real Numbers 9.2 Infinite Series 9.3 The Integral Test and Comparison Tests 9.4 Alternating Series / Estimating the Sum of an Alternating Series 9.5 Absolute Convergence and the Ratio Test / The Root Test / Summary of Convergence Test 9.6 Power Series 9.7 Taylor Series / Representations of Functions as Series / Proof of Taylor s Theorem 9.8 Applications of Taylor Series / The Binomial Series 9.9 Fourier Series Chapter 10: Parametric Equations and Polar Coordinates 10.1 Plane Curves and Parametric Equations 10.2 Calculus and Parametric Equations 10.3 Arc Length and Surface Area in Parametric Equations 10.4 Polar Coordinates 10.5 Calculus and Polar Coordinates 10.6 Conic Sections 10.7 Conic Sections in Polar Coordinates Chapter 11: Vectors and the Geometry of Space 11.1 Vectors in the Plane 11.2 Vectors in Space 11.3 The Dot Product / Components and Projections 11.4 The Cross Product 11.5 Lines and Planes in Space 11.6 Surfaces in Space Chapter 12: Vector-Valued Functions 12.1 Vector-Valued Functions 12.2 The Calculus Vector-Valued Functions 12.3 Motion in Space 12.4 Curvature 12.5 Tangent and Normal Vectors / Components of Acceleration, Kepler s Laws 12.6 Parametric Surfaces Chapter 13: Functions of Several Variables and Partial Differentiation 13.1 Functions of Several Variables 13.2 Limits and Continuity 13.3 Partial Derivatives 13.4 Tangent Planes and Linear Approximations / Increments and Differentials 13.5 The Chain Rule / Implicit Differentiation 13.6 The Gradient and Directional Derivatives 13.7 Extrema of Functions of Several Variables 13.8 Constrained Optimization and Lagrange Multipliers Chapter 14: Multiple Integrals 14.1 Double Integrals 14.2 Area, Volume, and Center of Mass 14.3 Double Integrals in Polar Coordinates 14.4 Surface Area 14.5 Triple Integrals / Mass and Center of Mass 14.6 Cylindrical Coordinates 14.7 Spherical Coordinates 14.8 Change of Variables in Multiple Integrals Chapter 15: Vector Calculus 15.1 Vector Fields 15.2 Line Integrals 15.3 Independence of Path and Conservative Vector Fields 15.4 Green s Theorem 15.5 Curl and Divergence 15.6 Surface Integrals 70

74 CALCULUS 15.7 The Divergence Theorem 15.8 Stokes Theorem 15.9 Applications of Vector Calculus Chapter 16: Second-Order Differential Equations 16.1 Second-Order Equations with Constant Coefficients 16.2 Nonhomogeneous Equations: Undetermined Coefficients 16.3 Applications of Second-Order Differential Equations 16.4 Power Series Solutions of Differential Equations Appendix A: Proofs of Selected Theorems Appendix B: Answers to Odd-Numbered Exercises International Edition CALCULUS WITH MATHZONE: Early Transcendental Functions Third Edition By Robert T. Smith, Millersville University, and Roland B. Minton, Roanoke College 2007 (February 2006) / Hardcover with access card ISBN-13: / MHID: ISBN-13: / MHID: (with MathZone) ISBN-13: / MHID: [IE with MathZone] ISBN-13: / MHID: [IE without MathZone] Browse Students who have used Smith/Minton s Calculus say it was easier to read than any other math book they ve used. That testimony underscores the success of the authors approach, which combines the best elements of reform with the most reliable aspects of mainstream calculus teaching, resulting in a motivating, challenging book. Smith/ Minton also provide exceptional, reality-based applications that appeal to students interests and demonstrate the elegance of math in the world around us. Chapter 0: Preliminaries 0.1 Polynomials and Rational Functions 0.2 Graphing Calculators and Computer Algebra Systems 0.3 Inverse Functions 0.4 Trigonometric and Inverse Trigonometric Functions 0.5 Exponential and Logarithmic Functions. Hyperbolic Functions. Fitting a Curve to Data 0.6 Transformations of Functions. Chapter 1: Limits and Continuity 1.1 A First Look at Calculus 1.2 The Concept of Limit 1.3 Computation of Limits 1.4 Continuity and its Consequences. The Method of Bisections. 1.5 Limits Involving Infinity. Asymptotes. 1.6 Formal Definition of the Limit. Exploring the Definition of Limit Graphically 1.7 Limits and Loss-of-Significance Errors. Computer Representation of Real Numbers. Chapter 2: Differentiation 2.1 Tangent Lines and Velocity 2.2 The Derivative Numerical Differentiation 2.3 Computation of Derivatives: The Power Rule. Higher Order Derivatives. Acceleration. 2.4 The Product and Quotient Rules 2.5 The Chain Rule 2.6 Derivatives of the Trigonometric Functions 2.7 Derivatives of the Exponential and Logarithmic Functions 2.8 Implicit Differentiation and Inverse Trigonometric Functions 2.9 The Mean Value Theorem. Chapter 3: Applications of Differentiation 3.1 Linear Approximations and Newton s Method 3.2 Indeterminate Forms and L Hopital s Rule 3.3 Maximum and Minimum Values 3.4 Increasing and Decreasing Functions 3.5 Concavity and the Second Derivative Test 3.6 Overview of Curve Sketching 3.7 Optimization 3.8 Related Rates 3.9 Rates of Change in Economics and the Sciences. Chapter 4: Integration 4.1 Antiderivatives 4.2 Sums and Sigma Notation. Principle of Mathematical Induction 4.3 Area 4.4 The Definite Integral. Average Value of a Function 4.5 The Fundamental Theorem of Calculus 4.6 Integration by Substitution 4.7 Numerical Integration. Error Bounds for Numerical Integration 4.8 The Natural Logarithm as an Integral. The Exponential Function as the Inverse of the Natural Logarithm. Chapter 5: Applications of the Definite Integral 5.1 Area Between Curves 5.2 Volume: Slicing, Disks, and Washers 5.3 Volumes by Cylindrical Shells 5.4 Arc Length and Surface Area 5.5 Projectile Motion 5.6 Applications of Integration to Economics and the Sciences 5.7 Probability Chapter 6: Integration Techniques 6.1 Review of Formulas and Techniques 6.2 Integration by Parts 6.3 Trigonometric Techniques of Integration. Integrals Involving Powers of Trigonometric Functions. Trigonometric Substitution. 6.4 Integration of Rational Functions Using Partial Fractions. General Strategies for Integration Techniques 6.5 Integration Tables and Computer Algebra Systems 6.6 Improper Integrals. A Comparison Test. Chapter 7: First Order Differential Equations 7.1 Growth and Decay Problems. Compound Interest. Modeling with Differential Equations. 7.2 Separable Differential Equations. Logistic Growth 7.3 Direction Fields and Euler s Method 7.4 Systems of First Order Differential Equations. Predator-Prey Systems Chapter 8: Infinite Series 8.1 Sequences of Real Numbers 8.2 Infinite Series 8.3 The Integral Test and Comparison Tests 8.4 Alternating Series. Estimating the Sum of an Alternating Series 8.5 Absolute Convergence and the Ratio Test. The Root Test. Summary of Convergence Tests 8.6 Power Series 8.7 Taylor Series. Representations of Functions as Series. Proof of Taylor s Theorem. 8.8 Applications of Taylor Series. The Binomial Series. 8.9 Fourier Series. Chapter 9: Parametric Equations and Polar Coordinates. 9.1 Plane Curves and Parametric Equations. 9.2 Calculus and Parametric Equations. 9.3 Arc Length and Surface Area in Parametric Equations. 9.4 Polar Coordinates. 9.5 Calculus and Polar Coordinates. 9.6 Conic Sections. 9.7 Conic Sections in Polar Coordinates. Chapter 10: Vectors and the Geometry of Space Vectors in the Plane Vectors in Space 10.3 The Dot Product. Components and Projections 10.4 The Cross Product 71

75 CALCULUS 10.5 Lines and Planes in Space 10.6 Surfaces in Space. Chapter 11: Vector-Valued Functions 11.1 Vector-Valued Functions 11.2 The Calculus of Vector-Valued Functions 11.3 Motion in Space 11.4 Curvature 11.5 Tangent and Normal Vectors. Tangential and Normal Components of Acceleration. Kepler s Laws 11.6 Parametric Surfaces. Chapter 12: Functions of Several Variables and Differentiation Functions of Several Variables 12.2 Limits and Continuity 12.3 Partial Derivatives 12.4 Tangent Planes and Linear Approximations. Increments and Differentials The Chain Rule 12.6 The Gradient and Directional Derivatives 12.7 Extrema of Functions of Several Variables 12.8 Constrained Optimization and Lagrange Multipliers Chapter 13: Multiple Integrals 13.1 Double Integrals 13.2 Area, Volume, and Center of Mass 13.3 Double Integrals in Polar Coordinates 13.4 Surface Area 13.5 Triple Integrals. Mass and Center of Mass 13.6 Cylindrical Coordinates 13.7 Spherical Coordinates 13.8 Change of Variables in Multiple Integrals Chapter 14: Vector Calculus 14.1 Vector Fields 14.2 Line Integrals 14.3 Independence of Path and Conservative Vector Fields 14.4 Green s Theorem 14.5 Curl and Divergence 14.6 Surface Integrals 14.7 The Divergence Theorem 14.8 Stokes Theorem 14.9 Applications of Vector Calculus. Chapter 15: Second Order Differential Equations 15.1 Second-Order Equations with Constant Coefficients 15.2 Nonhomogeneous Equations: Undetermined Coefficients 15.3 Applications of Second Order Equations 15.4 Power Series Solutions of Differential Equations. Appendix A: Proofs of Selected Theorems Appendix B: Answers to Odd-Numbered Exercises. Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES International Edition CALCULUS: Concepts and Connections By Robert T Smith, Millersville University and Roland B Minton, Roanoke College 2006 / 1,312 pages ISBN-13: / MHID: X ISBN-13: / MHID: (with MathZone) ISBN-13: / MHID: [IE without MathZone] ISBN-13: / MHID: [IE with MathZone] This modern calculus textbook places a strong emphasis on developing students conceptual understanding and on building connections between key calculus topics and their relevance for the real world. It is written for the average student one who is mostly unfamiliar with the subject and who requires significant motivation. It follows a relatively standard order of presentation, with early coverage of transcendentals, and integrates thought-provoking applications, examples and exercises throughout. The text also provides balanced guidance on the appropriate role of technology in problem-solving, including its benefits and its potential pitfalls. Wherever practical, concepts are developed from graphical, numerical, algebraic and verbal perspectives (the Rule of Four ) to give students a complete understanding of calculus. Chapter 0: Preliminaries: Polynomial and Rational Functions. Graphing Calculators and Computer Algebra Systems. Inverse Functions. Trigonometric and Inverse Trigonometric Functions. Exponential and Logarithmic Functions. Parametric Equations and Polar Coordinates. Chapter 1: Limits and Continuity: Preview of Calculus. The Concept of Limit. Computation of Limits. Continuity and its Consequences. Method of Bisections. Limits Involving Infinity. Limits and Loss-of-Significance Errors. Chapter 2: Differentiation: Tangent Lines and Velocity. The Derivative. Computation of Derivatives: The Power Rule. The Product and Quotient Rules. The Chain Rule. Derivatives of Trigonometric and Inverse Trigonometric Functions. Derivatives of Exponential and Logarithmic Functions. Implicit Differentiation and Related Rates. The Mean Value Theorem. Chapter 3: Applications of Differentiation: Linear Approximations and Newton s Method. Indeterminate Forms and L Hopital s Rule. Maximum and Minimum Values. Increasing and Decreasing Functions. Concavity and Overview of Curve Sketching. Optimization. Rates of Change in Applications. Chapter 4: Integration: Area under a Curve. The Definite Integral. Average Value of a Function. Antiderivatives. The Fundamental Theorem of Calculus. 72

76 CALCULUS Integration by Substitution. Trigonometric Techniques of Integration. Integration by Parts. Other Techniques of Integration. Integration Tables and Computer Algebra Systems. Numerical Integration. Improper Integrals. Comparison Test. Chapter 5: Applications of the Definite Integral: Area Between Curves. Volume. Slicing, Disks and Washers. Arc Length and Surface Area. Projectile Motion. Work, Moments, and Hydrostatic Force. Probability. Chapter 6: Differential Equations: Growth and Decay Problems. Separable Differential Equations. Euler s Method. Second Order Equations with Constant Coefficients. Nonhomogeneous Equations: Undetermined Coefficients. Applications of Differential Equations. Chapter 7: Infinite Series: Sequences of Real Numbers. Infinite Series. The Integral Test and Comparison Tests. Alternating Series. Absolute Convergence and the Ratio Test. Power Series. Taylor Series. Taylor s Theorem. Applications of Taylor Series. Fourier Series. Power Series Solutions of Differential Equations. Chapter 8: Vectors and the Geometry of Space: Vectors in the Plane. Vectors in Space. The Dot Product. Components and Projections. The Cross Product. Lines and Planes in Space. Surfaces in Space. Chapter 9: Vector-Valued Functions: Vector-Valued Functions. Parametric Surfaces. The Calculus of Vector-Valued Functions. Motion in Space. Curvature. Tangent and Normal Vectors. Components of Acceleration, Kepler s Laws. Chapter 10: Functions of Several Variables and Differentiation: Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximations. The Chain Rule. Implicit Differentiation. The Gradient and Directional Derivatives. Extrema of Functions of Several Variables. Constrained Optimization and Lagrange Multipliers. Chapter 11: Multiple Integrals: Double Integrals. Area, Volume and Center of Mass. Double Integrals in Polar Coordinates. Surface Area. Triple Integrals. Cylindrical Coordinates. Spherical Coordinates. Change of Variables in Multiple Integrals. Chapter 12: Vector Calculus: Vector Fields. Curl and Divergence. Line Integrals. Independence of Path and Conservative Vector Fields. Green s Theorem. Surface Integrals. Parametric Representation of Surfaces. The Divergence Theorem. Stokes Theorem. Applications of Vector Calculus. Appendices: A.1 Formal Definition of Limit. A.2 Complete Derivation of Derivatives of sin x and cos x. A.3 Natural Logarithm Defined as an Integral; Exponential Defined as the Inverse of the Natural Logarithm. A.4 Hyperbolic Functions. A.5 Conic Sections in Polar Coordinates. A.6 Proofs of Selected Theorems. FIVE STEPS TO A 5 AP CALCULUS AB-BC Second Edition By William Ma 2007 (December 2006) / 360 pages ISBN-13: / MHID: A Professional Reference The AP AB/BC calculus exams have the largest enrollment of any AP exam. This new edition of the AB/BC guide has been expanded to cover both the AB and BC calculus tests and includes key updates on all the material covered in the latest revision of the exams. PREFACE ACKNOWLEDGMENTS Part I: How to Use This Book Part II: What You Need to Know About the AP Calculus Exams Part III: Comprehensive Review Chapter 1: Limits and Continuity Chapter 2: Differentiation Chapter 3: Graphs of Functions and Derivatives Chapter 4: Applications of Derivatives Chapter 5: More Applications of Derivatives Chapter 6: Integration Chapter 7: Definite Integrals Chapter 8: Areas and Volumes Chapter 9: More Applications of Definite Integrals Chapter 10: Series Part IV: Practice Makes Perfect APPENDIX I: FORMULAS AND THEOREMS APPENDIX II: BIBLIOGRAPHY APPENDIX III: WEBSITES 73

77 CALCULUS SCHAUM S OUTLINE OF ADVANCED CALCULUS Second Edition By Robert C Wrede, and Murray R Spiegel (Deceased) 2002 / 356 pages ISBN-13: / MHID: A Schaum s Publication Numbers. Basic Point-Set Topology. Functions, Limits, and Continuity. Special Functions (Log, Exp, Circular Trig, Hyperbolics). Sequences. Derivative. Integrals. Partial Derivatives. Vectors. Applications. Differential Geometry (Curvature, Torsion,). Multiple Integrals. Line/Surface Integrals. Change of Variable. Infinite Sequences. Infinite Series. Improper Integrals. Gamma and Beta Functions. Fourier Series. Fourier Integrals. Laplace Transforms. Function of Complex Variables Single Variable Calculus New International Edition CALCULUS, SINGLE VARIABLE: LATE TRANSCENDENTAL FUNCTIONS Third Edition By Robert Smith, Millersville University and Roland Minton, Roanoke College 2008 (January 2007) ISBN-13: / MHID: ISBN-13: / MHID: [IE] Browse Students who have used Smith/Minton s Calculus say it was easier to read than any other math book they ve used. That testimony underscores the success of the authors approach which combines the most reliable aspects of mainstream Calculus teaching with the best elements of reform, resulting in a motivating, challenging book. Smith/ Minton wrote the book for the students who will use it, in a language that they understand, and with the expectation that their backgrounds may have some gaps. Smith/Minton provide exceptional, reality-based applications that appeal to students interests and demonstrate the elegance of math in the world around us. New features include: Many new exercises and examples (for a total of 7,000 exercises and 1000 examples throughout the book) provide a careful balance of routine, intermediate and challenging exercises New exploratory exercises in every section that challenge students to make connections to previous introduced material. New commentaries ( Beyond Formulas ) that encourage students to think mathematically beyond the procedures they learn. New counterpoints to the historical notes, Today in Mathematics, stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. An enhanced discussion of differential equations and additional applications of vector calculus. Exceptional Media Resources: Within MathZone, instructors and students have access to a series of unique Conceptual Videos that help students understand key Calculus concepts proven to be most difficult to comprehend, 248 Interactive Applets that help students master concepts and procedures and functions, 1600 algorithms, and 113 e-professors. INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: New to this edition Many new exercises that are written at the intermediate and rigorous level in response to requests by users of the 2nd Edition. A more standard organization. Every chapter was rewritten to be substantially more concise. New commentaries entitled Beyond Formulas. An enhanced discussion of differential equations and additional applications of vector calculus. New counterpoints to the historical notes, Today in Mathematics, that stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. 74

78 CALCULUS Chapter 0: Preliminaries 0.1 The Real Numbers and the Cartesian Plane 0.2 Lines and Functions 0.3 Graphing Calculators and Computer Algebra Systems 0.4 Trigonometric Functions 0.5 Transformations of Functions Chapter 1: Limits and Continuity 1.1 A Brief Preview of Calculus: Tangent Lines and the Length of a Curve 1.2 The Concept of Limit 1.3 Computation of Limits 1.4 Continuity and its Consequences / The Method of Bisections 1.5 Limits Involving Infinity / Asysmptotes 1.6 The Formal Definition of the Limit 1.7 Limits and Loss-of-Significance Errors / Computer Representation or Real Numbers Chaper 2: Differentiation 2.1 Tangent Lines and Velocity 2.2 The Derivative / Alternative Derivative Notations / Numerical Differentiation 2.3 Computation of Derivatives: The Power Rule / Higher Order Derivatives / Acceleration 2.4 The Product and Quotient Rules 2.5 The Chain Rule 2.6 Derivatives of the Trigonometric Functions 2.7 Implicit Differentiation 2.8 The Mean Value Theorem Chapter 3: Applications of Differentiation 3.1 Linear Approximations and Newton s Method 3.2 Maximum and Minimum Values 3.3 Increasing and Decreasing Functions 3.4 Concavity and the Second Derivative Test 3.5Overview of Curve Sketching 3.6Optimization 3.7 Related Rates 3.8 Rates of Change in Economics and the Sciences Chapter 4: Integration 4.1 Antiderivatives 4.2 Sums and Sigma Notation / Principle of Mathematical Induction 4.3 Area under a Curve 4.4 The Definite Integral / Average Value of a Function 4.5 The Fundamental Theorem of Calculus 4.6 Integration by Substitution 4.7 Numerical Integration / Error bounds for Numerical Integration Chapter 5: Applications of the Definite Integral 5.1 Area Between Curves 5.2 Volume: Slicing, Disks, and Washers 5.3 Volumes by Cylindrical Shells 5.4 Arc Length and Srface Area 5.5 Projectile Motion 5.6 Applications of Integration to Physics and Engineering Chapter 6: Exponentials, Logarithms and other Transcendental Functions 6.1 The Natural Logarithm 6.2 Inverse Functions 6.3 Exponentials 6.4 The Inverse Trigonometric Functions 6.5 The Calculus of the Inverse Trigonometric Functions 6.6 The Hyperbolic Function Chapter 7: First-Order Differential Equations 7.1 Modeling with Differential Equations / Growth and Decay Problems / Compound Interest 7.2 Separable Differential Equations / Logistic Growth 7.3 Direction Fields and Euler s Method 7.4 Systems of First-Order Differential Equations / Predator-Prey Systems 7.6 Indeterminate Forms and L Hopital s Rule / Improper Integrals / A Comparison Test 7.8 Probability Chapter 8: First-Order Differential Equations 8.1 modeling with Differential Equations / Growth and Decay Problems / Compound Interest 8.2 Separable Differential Equations / Logistic Growth 8.3 Direction Fields and Euler s Method / Systems of First Order Equations Chapter 9: Infinite Series 9.1 Sequences of Real Numbers 9.2 Infinite Series 9.3 The Integral Test and Comparison Tests 9.4 Alternating Series / Estimating the Sum of an Alternating Series 9.5 Absolute Convergence and the Ratio Test / The Root Test / Summary of Convergence Test 9.6 Power Series 9.7 Taylor Series / Representations of Functions as Series / Proof of Taylor s Theorem 9.8 Applications of Taylor Series / The Binomial Series 9.9 Fourier Series Chapter 10: Parametric Equations and Polar Coordinates 10.1 Plane Curves and Parametric Equations 10.2 Calculus and Parametric Equations 10.3 Arc Length and Surface Area in Parametric Equations 10.4 Polar Coordinates 10.5 Calculus and Polar Coordinates 10.6 Conic Sections 10.7 Conic Sections in Polar Coordinates Chapter 11: Vectors and the Geometry of Space 11.1 Vectors in the Plane 11.2 Vectors in Space 11.3 The Dot Product / Components and Projections 11.4 The Cross Product 11.5 Lines and Planes in Space 11.6 Surfaces in Space Chapter 12: Vector-Valued Functions 12.1 Vector-Valued Functions 12.2 The Calculus Vector-Valued Functions 12.3 Motion in Space 12.4 Curvature 12.5 Tangent and Normal Vectors / Components of Acceleration, Kepler s Laws 12.6 Parametric Surfaces Chapter 13: Functions of Several Variables and Partial Differentiation 13.1 Functions of Several Variables 13.2 Limits and Continuity 13.3 Partial Derivatives 13.4 Tangent Planes and Linear Approximations / Increments and Differentials 13.5 The Chain Rule / Implicit Differentiation 13.6 The Gradient and Directional Derivatives 13.7 Extrema of Functions of Several Variables 13.8 Constrained Optimization and Lagrange Multipliers Chapter 14: Multiple Integrals 14.1 Double Integrals 14.2 Area, Volume, and Center of Mass 14.3 Double Integrals in Polar Coordinates 14.4 Surface Area 14.5 Triple Integrals / Mass and Center of Mass 14.6 Cylindrical Coordinates 14.7 Spherical Coordinates 14.8 Change of Variables in Multiple Integrals Chapter 15: Vector Calculus 15.1 Vector Fields 15.2 Line Integrals 15.3 Independence of Path and Conservative Vector Fields 15.4 Green s Theorem 15.5 Curl and Divergence 15.6 Surface Integrals 15.7 The Divergence Theorem 15.8 Stokes Theorem 15.9 Applications of Vector Calculus 75

79 CALCULUS Chapter 16: Second-Order Differential Equations 16.1 Second-Order Equations with Constant Coefficients 16.2 Nonhomogeneous Equations: Undetermined Coefficients 16.3 Applications of Second-Order Differential Equations 16.4 Power Series Solutions of Differential Equations Appendix A: Proofs of Selected Theorems Appendix B: Answers to Odd-Numbered Exercises International Edition CALCULUS: Single Variable: Early Transcendental Functions Third Edition By Robert T. Smith, Millersville University, and Roland B. Minton, Roanoke College 2007 (December 2005) / Hardcover with access card ISBN-13: / MHID: ISBN-13: / MHID: (with MathZone) ISBN-13: / MHID: X [IE with MathZone] Browse Students who have used Smith/Minton s Calculus say it was easier to read than any other math book they ve used. That testimony underscores the success of the authors approach, which combines the best elements of reform with the most reliable aspects of mainstream calculus teaching, resulting in a motivating, challenging book. Smith/ Minton also provide exceptional, reality-based applications that appeal to students interests and demonstrate the elegance of math in the world around us. New features include: A new organization placing all transcendental functions early in the book and consolidating the introduction to L Hôpital s Rule in a single section. More concisely written explanations in every chapter. Many new exercises (for a total of 7,000 throughout the book) that require additional rigor not found in the 2nd Edition. New exploratory exercises in every section that challenge students to synthesize key concepts to solve intriguing projects. New commentaries ( Beyond Formulas ) that encourage students to think mathematically beyond the procedures they learn. New counterpoints to the historical notes, Today in Mathematics, that stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. An enhanced discussion of differential equations and additional applications of vector calculus. Chapter 0: Preliminaries 0.1 Polynomials and Rational Functions 0.2 Graphing Calculators and Computer Algebra Systems 0.3 Inverse Functions 0.4 Trigonometric and Inverse Trigonometric Functions 0.5 Exponential and Logarithmic Functions. Hyperbolic Functions. Fitting a Curve to Data 0.6 Transformations of Functions Chapter 1: Limits and Continuity 1.1 A First Look at Calculus 1.2 The Concept of Limit 1.3 Computation of Limits 1.4 Continuity and its Consequences. The Method of Bisections 1.5 Limits Involving Infinity. Asymptotes. 1.6 Formal Definition of the Limit. Exploring the Definition of Limit Graphically 1.7 Limits and Loss-of-Significance Errors. Computer Representation of Real Numbers. Chapter 2: Differentiation 2.1 Tangent Lines and Velocity 2.2 The Derivative. Numerical Differentiation 2.3 Computation of Derivatives: The Power Rule. Higher Order Derivatives. Acceleration. 2.4 The Product and Quotient Rules 2.5 The Chain Rule 2.6 Derivatives of the Trigonometric Functions 2.7 Derivatives of the Exponential and Logarithmic Functions 2.8 Implicit Differentiation and Inverse Trigonometric Functions 2.9 The Mean Value Theorem Chapter 3: Applications of Differentiation. 3.1 Linear Approximations and Newton s Method 3.2 Indeterminate Forms and L Hopital s Rule 3.3 Maximum and Minimum Values 3.4 Increasing and Decreasing Functions 3.5 Concavity and the Second Derivative Test 3.6 Overview of Curve Sketching 3.7 Optimization 3.8 Related Rates 3.9 Rates of Change in Economics and the Sciences Chapter 4: Integration 4.1 Antiderivatives 4.2 Sums and Sigma Notation. Principle of Mathematical Induction 4.3 Area 4.4 The Definite Integral. Average Value of a Function 4.5 The Fundamental Theorem of Calculus 4.6 Integration by Substitution 4.7 Numerical Integration. Error Bounds for Numerical Integration 4.8 The Natural Logarithm as an Integral. The Exponential Function as the Inverse of the Natural Logarithm. Chapter 5: Applications of the Definite Integral 5.1 Area Between Curves 5.2 Volume: Slicing, Disks, and Washers 5.3 Volumes by Cylindrical Shells 5.4 Arc Length and Surface Area 5.5 Projectile Motion 5.6 Applications of Integration to Economics and the Sciences 5.7 Probability. Chapter 6: Integration Techniques 6.1 Review of Formulas and Techniques 6.2 Integration by Parts 6.3 Trigonometric Techniques of Integration. Integrals Involving Powers of Trigonometric Functions. Trigonometric Substitution 6.4 Integration of Rational Functions Using Partial Fractions. General Strategies for Integration Techniques 6.5 Integration Tables and Computer Algebra Systems 6.6 Improper Integrals. A Comparison Test. Chapter 7: First Order Differential Equations 7.1 Growth and Decay Problems. Compound Interest. Modeling with Differential Equations. 7.2 Separable Differential Equations. Logistic Growth. 7.3 Direction Fields and Euler s Method 7.4 Systems of First Order Differential Equations. Predator-Prey Systems. Chapter 8: Infinite Series 8.1 Sequences of Real Numbers 8.2 Infinite Series 8.3 The Integral Test and Comparison Tests 8.4 Alternating Series. Estimating the Sum of an Alternating Series 8.5 Absolute Convergence and the Ratio Test. The Root Test. Summary of Convergence Tests 8.6 Power Series 8.7 Taylor Series. Representations of Functions as Series. Proof of Taylor s Theorem 8.8 Applications of Taylor Series. The Binomial Series 8.9 Fourier Series Chapter 9: Parametric Equations and Polar Coordinates 9.1 Plane Curves and Parametric Equations 9.2 Calculus and Parametric Equations 9.3 Arc Length and Surface Area in Parametric Equations 9.4 Polar Coordinates 9.5 Calculus and Polar Coordinates 9.6 Conic Sections 9.7 Conic Sections in Polar Coordinates 76

80 CALCULUS Chapter 10: Vectors and the Geometry of Space 10.1 Vectors in the Plane 10.2 Vectors in Space 10.3 The Dot Product. Components and Projections 10.4 The Cross Product 10.5 Lines and Planes in Space 10.6 Surfaces in Space. Chapter 11: Vector-Valued Functions 11.1 Vector-Valued Functions 11.2 The Calculus of Vector-Valued Functions 11.3 Motion in Space 11.4 Curvature 11.5 Tangent and Normal Vectors. Tangential and Normal. Components of Acceleration. Kepler s Laws Parametric Surfaces. Chapter 12: Functions of Several Variables and Differentiation Functions of Several Variables 12.2 Limits and Continuity Partial Derivatives 12.4 Tangent Planes and Linear Approximations. Increments and Differentials The Chain Rule 12.6 The Gradient and Directional Derivatives 12.7 Extrema of Functions of Several Variables 12.8 Constrained Optimization and Lagrange Multipliers. Chapter 13: Multiple Integrals 13.1 Double Integrals 13.2 Area, Volume, and Center of Mass 13.3 Double Integrals in Polar Coordinates 13.4 Surface Area 13.5 Triple Integrals. Mass and Center of Mass Cylindrical Coordinates 13.7 Spherical Coordinates 13.8 Change of Variables in Multiple Integrals Chapter 14: Vector Calculus 14.1 Vector Fields 14.2 Line Integrals 14.3 Independence of Path and Conservative Vector Fields 14.4 Green s Theorem 14.5 Curl and Divergence 14.6 Surface Integrals 14.7 The Divergence Theorem 14.8 Stokes Theorem 14.9 Applications of Vector Calculus Chapter 15: Second Order Differential Equations 15.1 Second-Order Equations with Constant Coefficients 15.2 Non-homogeneous Equations: Undetermined Coefficients 15.3 Applications of Second Order Equations 15.4 Power Series Solutions of Differential Equations Appendix A: Proofs of Selected Theorems Appendix B: Answers to Odd-Numbered Exercises. SCHAUM S OUTLINE OF CALCULUS Fifth Edition By Frank Ayres (deceased) and Elliott Mendelson, Queens College 2009 (July 2008) / 572 pages ISBN-13: / MHID: A Schaum s Publication A classic Schaum s bestseller, thoroughly updated to meet the emphasis in current courses. The ideal review for the hundreds of thousands of colleges and high school students who enroll in calculus courses. CONTENTS 1. Linear Coordinate Systems. Absolute Value. Inequalities. 2. Rectangular Coordinate Systems 3. Lines 4. Circles 5. Equations and their Graphs 6. Functions 7. Limits 8. Continuity 9. The Derivative 10. Rules for Differentiating Functions 11. Implicit Differentiation 12. Tangent and Normal Lines 13. Law of the Mean. Increasing and Decreasing Functions 14. Maximum and Minimum Values 15. Curve Sketching. Concavity. Symmetry. 16. Review of Trigonometry 17. Differentiation of Trigonometric Functions 18. Inverse Trigonometric Functions 19. Rectilinear and Circular Motion 20. Related Rates 21. Differentials. Newton s Method 22. Antiderivatives 23. The Definite Integral. Area under a Curve 24. The Fundamental Theorem of Calculus 25. The Natural Logarithm 26. Exponential and Logarithmic Functions 27. L Hopital s Rule 28. Exponential Growth and Decay 29. Applications of Integration I: Area and Arc Length 30. Applications of Integration II: Volume 31. Techniques of Integration I: Integration by Parts 32. Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions 33. Techniques of Integration III: Integration by Partial Fractions 34. Miscellaneous Substitutions 35. Improper Integrals 36. Applications of Integration II: Area of a Surface of Revolution 37. Parametric Representation of Curves 38. Curvature 77

81 CALCULUS SCHAUM S OUTLINE OF BEGINNING CALCULS Third Edition By Elliott Mendelson, Queens College 2008 (August 2007) / 400 pages ISBN-13: / MHID: A Schaum s Publication The guides that help students study faster, learn better- and get top grades. This review of beginning calculus is updated to reflect the latest course scope and sequences, with expanded explanations of particularly difficult topics. Chapter 1: Coordinate Systems on a Line Chapter 2: Coordinate Systems in a Plane Chapter 3: Graphs of Equations Chapter 4: Straight Lines Chapter 5: Intersections of Graphs Chapter 6: Symmetry Chapter 7: Functions and Their Graphs Chapter 8: Limits Chapter 9: Special Limits Chapter 10: Continuity Chapter 11: The Slope of a Tangent Line Chapter 12: The Derivative Chapter 13: More on the Derivative Chapter 14: Maximum and Minimum Problems Chapter 15: The Chain Rule Chapter 16: Implicit Differentiation Chapter 17: The Mean-Value Theorem and the Sign of the Derivative Chapter 18: Rectilinear Motion and Instantaneous Velocity Chapter 19: Instantaneous Rate of Change Chapter 20: Related Rates Chapter 21: Approximation by Differentials; Newton s Method Chapter 22: Higher-Order Derivatives Chapter 23: Applications of the Second Derivative and Graph Sketching Chapter 24: More Maximum and Minimum Problems Chapter 25: Angle Measure Chapter 26: Sine and Cosine Functions Chapter 27: Graphs and Derivatives of Sine and Cosine Functions Chapter 28: The Tangent and Other Trigonometric Functions Chapter 29: Antiderivatives Chapter 30: The Definite Integral Chapter 31: The Fundamental Theorem of Calculus Chapter 32: Applications of Integration I: Area and Arc Length Chapter 33: Applications of Integration II: Volume Chapter 34: The Natural Logarithm Chapter 35: Exponential Functions Chapter 36: L Hopital s Rule; Exponential Growth and Decay Chapter 37: Inverse Trigonometric Functions Chapter 38: Integration by Parts Chapter 39: Trigonometric Integrands and Trigonometric Substitutions Chapter 40: Integration of Rational Functions; The Method of Partial Fractions Appendix A: Trigonometric Formulas Appendix B: Basic Integration Formulas Appendix C: Geometric Formulas Appendix D: Trigonometric Functions Appendix E: Natural Logarithms Appendix F: Exponential Functions Answers to Supplementary Problems Index CALCULUS DEMYSTIFIED By Steven G Krantz, Washington University - St. Louis 2003 / 343 pages ISBN-13: / MHID: A Professional Publication Preface. Chapter 1: Basics. Chapter 2: Foundations of Calculus. Chapter 3: Applications of the Derivative. Chapter 4: The Integral. Chapter 5: Indeterminate Forms. Chapter 6: Transcendental Functions. Chapter 7: Methods of Integration. Chapter 8: Applications of the Integral. Bibliography. Solutions to Exercises. Final Exam. Index International Edition How to Solve Word Problems in Calculus By Eugene Don and Benay Don 2001 / 226 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] A Professional Publication (International Edition is not for sale in Japan) Considered to be the hardest mathematical problems to solve, word problems continue to terrify students across all math disciplines. This new title in the World Problems series demystifies these difficult problems once and for all by showing even the most math-phobic readers simple, step-by-step tips and techniques. How to Solve World Problems in Calculus reviews important concepts in calculus and provides solved problems and step-by-step solutions. Once students have mastered the basic approaches to solving calculus word problems, they will confidently apply these new mathematical principles to even the most challenging advanced problems. Each chapter features an introduction to a problem type, definitions, related theorems, and formulas. Topics range from vital pre-calculus review to traditional calculus first-course content. Sample problems with solutions and a 50-problem chapter are ideal for self-testing. Fully explained examples with step-by-step solutions. Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES 78

82 CALCULUS SCHAUM S EASY OUTLINES: Calculus By Frank Ayres (deceased) and Elliott Mendelson, Queens College 2000 / 135 pages ISBN-13: / MHID: A Schaum Publication key=w02003 Chapter 1: Functions, Sequences, Limits, and Continuity. Chapter 2: Differentiation. Chapter 3: Maxima and Minima. Chapter 4: Differentiation of Special Functions. Chapter 5: The Law of the Mean, Indeterminate Forms, Differentials, and Curve Sketching. Chapter 6: Fundamental Integration Techniques and Applications. Chapter 7: The Definite Integral, Plane Areas by Integration, Improper Integrals. Appendix A: Differentiation Formulas for Common Mathematical Functions. Appendix B: Integration Formulas for Common Mathematical Functions. Index. SCHAUM S OUTLINE OF MATHEMATICA By Eugene Don 2000 / 360 pages ISBN-13: / MHID: X A Schaum s Publication Getting Acquainted. Basic Concepts. Lists. Two-Dimensional Graphics. Three-Dimensional Graphics. Equations. Algebra and Trignometry. Differential Calculus. Integral Calculus. Multivariate Calculus. Ordinary Differential Equations. Linear Algebra. International Edition Schaum s Outline of Differential and Integral Calculus, SI Metric Third Edition By Frank Ayres, Jr, Dickinson College 1992 ISBN-13: / MHID: [IE] A Schaum s Publication (International Edition is not for sale in Japan.) International Edition Schaum s 3,000 Solved Problems in Calculus By Elliott Mendelson, Queens College 1988 / 442 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] A Schaum s Publication (International Edition is not for sale in Japan.) This powerful problem-solver gives you 3,000 problems in calculus, fully solved step-by-step! From Schaum s, the originator of the solvedproblem guide, and students favorite with over 30 million study guides sold this timesaver helps you master every type of calculus problem that you will face in your homework and on your tests, from inequalities to differential equations. Work the problems yourself, then check the answers, or go directly to the answers you need with a complete index. Compatible with any classroom text, Schaum s 3000 Solved Problems in Calculus is so complete it s the perfect tool for graduate or professional exam review! Schaum s Outline of Understanding Calculus Concepts By Eli Passow, Temple University 1996 / 224 pages ISBN-13: / MHID: A Schaum s Publication What It s All About. The Derivative. Applications of the Derivative. The Integral. Applications of the Integral. Topics in Integration. Infinite Series. INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: 79

83 CALCULUS Multi-Variable Calculus New calculus: multivariable: late transcendental functions Third Edition By Robert T. Smith, Millersville University, and Roland B. Minton, Roanoke College 2008 (January 2007) ISBN-13: / MHID: X Browse Students who have used Smith/Minton s Calculus say it was easier to read than any other math book they ve used. That testimony underscores the success of the authors approach which combines the most reliable aspects of mainstream Calculus teaching with the best elements of reform, resulting in a motivating, challenging book. Smith/ Minton wrote the book for the students who will use it, in a language that they understand, and with the expectation that their backgrounds may have some gaps. Smith/Minton provide exceptional, reality-based applications that appeal to students interests and demonstrate the elegance of math in the world around us. New features include: Many new exercises and examples (for a total of 7,000 exercises and 1000 examples throughout the book) provide a careful balance of routine, intermediate and challenging exercises New exploratory exercises in every section that challenge students to make connections to previous introduced material. New commentaries ( Beyond Formulas ) that encourage students to think mathematically beyond the procedures they learn. New counterpoints to the historical notes, Today in Mathematics, stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. An enhanced discussion of differential equations and additional applications of vector calculus. Exceptional Media Resources: Within MathZone, instructors and students have access to a series of unique Conceptual Videos that help students understand key Calculus concepts proven to be most difficult to comprehend, 248 Interactive Applets that help students master concepts and procedures and functions, 1600 algorithms, and 113 e-professors. New to this edition Many new exercises that are written at the intermediate and rigorous level in response to requests by users of the 2nd Edition. A more standard organization Every chapter was rewritten to be substantially more concise. New commentaries entitled Beyond Formulas. An enhanced discussion of differential equations and additional applications of vector calculus. New counterpoints to the historical notes, Today in Mathematics, that stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. Chapter 0: Preliminaries 0.1 The Real Numbers and the Cartesian Plane 0.2 Lines and Functions 0.3 Graphing Calculators and Computer Algebra Systems 0.4 Trigonometric Functions 0.5 Transformations of Functions Chapter 1: Limits and Continuity 1.1 A Brief Preview of Calculus: Tangent Lines and the Length of a Curve 1.2 The Concept of Limit 1.3 Computation of Limits 1.4 Continuity and its Consequences / The Method of Bisections 1.5 Limits Involving Infinity / Asysmptotes 1.6 The Formal Definition of the Limit 1.7 Limits and Loss-of-Significance Errors / Computer Representation or Real Numbers Chaper 2: Differentiation 2.1 Tangent Lines and Velocity 2.2 The Derivative / Alternative Derivative Notations / Numerical Differentiation 2.3 Computation of Derivatives: The Power Rule / Higher Order Derivatives / Acceleration 2.4 The Product and Quotient Rules 2.5 The Chain Rule 2.6 Derivatives of the Trigonometric Functions 2.7 Implicit Differentiation 2.8 The Mean Value Theorem Chapter 3: Applications of Differentiation 3.1 Linear Approximations and Newton s Method 3.2 Maximum and Minimum Values 3.3 Increasing and Decreasing Functions 3.4 Concavity and the Second Derivative Test 3.5 Overview of Curve Sketching 3.6Optimization 3.8 Related Rates 3.8 Rates of Change in Economics and the Sciences Chapter 4: Integration 4.1 Antiderivatives 4.2 Sums and Sigma Notation / Principle of Mathematical Induction 4.3 Area under a Curve 4.4 The Definite Integral / Average Value of a Function 4.5 The Fundamental Theorem of Calculus 4.6 Integration by Substitution 4.7 Numerical Integration / Error bounds for Numerical Integration Chapter 5: Applications of the Definite Integral 5.1 Area Between Curves 5.2 Volume: Slicing, Disks, and Washers 5.3 Volumes by Cylindrical Shells 5.4 Arc Length and Srface Area 5.5 Projectile Motion 5.6 Applications of Integration to Physics and Engineering Chapter 6: Exponentials, Logarithms and other Transcendental Functions 6.1 The Natural Logarithm 6.2 Inverse Functions 6.3 Exponentials 6.4 The Inverse Trigonometric Functions 6.5 The Calculus of the Inverse Trigonometric Functions 6.6 The Hyperbolic Function Chapter 7: First-Order Differential Equations 7.1 Modeling with Differential Equations / Growth and Decay Problems / Compound Interest 7.2 Separable Differential Equations / Logistic Growth 7.3 Direction Fields and Euler s Method 7.4 Systems of First-Order Differential Equations / Predator-Prey Systems 7.6 Indeterminate Forms and L Hopital s Rule / Improper Integrals / A Comparison Test 7.8 Probability Chapter 8: First-Order Differential Equations 8.1 modeling with Differential Equations / Growth and Decay Problems / Compound Interest 8.2 Separable Differential Equations / Logistic Growth 8.3 Direction Fields and Euler s Method / Systems of First Order Equations 80

84 CALCULUS Chapter 9: Infinite Series 9.1 Sequences of Real Numbers 9.2 Infinite Series 9.3 The Integral Test and Comparison Tests 9.4 Alternating Series / Estimating the Sum of an Alternating Series 9.5 Absolute Convergence and the Ratio Test / The Root Test / Summary of Convergence Test 9.6 Power Series 9.7 Taylor Series / Representations of Functions as Series / Proof of Taylor s Theorem 9.8 Applications of Taylor Series / The Binomial Series 9.9 Fourier Series Chapter 10: Parametric Equations and Polar Coordinates 10.1 Plane Curves and Parametric Equations 10.2 Calculus and Parametric Equations 10.3 Arc Length and Surface Area in Parametric Equations 10.4 Polar Coordinates 10.5 Calculus and Polar Coordinates 10.6 Conic Sections 10.7 Conic Sections in Polar Coordinates Chapter 11: Vectors and the Geometry of Space 11.1 Vectors in the Plane 11.2 Vectors in Space 11.3 The Dot Product / Components and Projections 11.4 The Cross Product 11.5 Lines and Planes in Space 11.6 Surfaces in Space Chapter 12: Vector-Valued Functions 12.1 Vector-Valued Functions 12.2 The Calculus Vector-Valued Functions 12.3 Motion in Space 12.4 Curvature 12.5 Tangent and Normal Vectors / Components of Acceleration, Kepler s Laws 12.6 Parametric Surfaces Chapter 13: Functions of Several Variables and Partial Differentiation 13.1 Functions of Several Variables 13.2 Limits and Continuity 13.3 Partial Derivatives 13.4 Tangent Planes and Linear Approximations / Increments and Differentials 13.5 The Chain Rule / Implicit Differentiation 13.6 The Gradient and Directional Derivatives 13.7 Extrema of Functions of Several Variables 13.8 Constrained Optimization and Lagrange Multipliers Chapter 14: Multiple Integrals 14.1 Double Integrals 14.2 Area, Volume, and Center of Mass 14.3 Double Integrals in Polar Coordinates 14.4 Surface Area 14.5 Triple Integrals / Mass and Center of Mass 14.6 Cylindrical Coordinates 14.7 Spherical Coordinates 14.8 Change of Variables in Multiple Integrals Chapter 15: Vector Calculus 15.1 Vector Fields 15.2 Line Integrals 15.3 Independence of Path and Conservative Vector Fields 15.4 Green s Theorem 15.5 Curl and Divergence 15.6 Surface Integrals 15.7 The Divergence Theorem 15.8 Stokes Theorem 15.9 Applications of Vector Calculus Chapter 16: Second-Order Differential Equations 16.1 Second-Order Equations with Constant Coefficients 16.2 Nonhomogeneous Equations: Undetermined Coefficients 16.3 Applications of Second-Order Differential Equations 16.4 Power Series Solutions of Differential Equations Appendix A: Proofs of Selected Theorems Appendix B: Answers to Odd-Numbered Exercises International Edition CALCULUS: Multivariable: EARLY TRANSCENDENTAL FUNCTIONS Third Edition By Robert T. Smith, Millersville University, and Roland B. Minton, Roanoke College 2007 (February 2006) / Hardcover ISBN-13: / MHID: ISBN-13: / MHID: (with MathZone) ISBN-13: / MHID: [IE with MathZone] Browse Students who have used Smith/Minton s Calculus say it was easier to read than any other math book they ve used. That testimony underscores the success of the authors approach, which combines the best elements of reform with the most reliable aspects of mainstream calculus teaching, resulting in a motivating, challenging book. Smith/ Minton also provide exceptional, reality-based applications that appeal to students interests and demonstrate the elegance of math in the world around us. New features include: A new organization placing all transcendental functions early in the book and consolidating the introduction to L Hôpital s Rule in a single section. More concisely written explanations in every chapter. Many new exercises (for a total of 7,000 throughout the book) that require additional rigor not found in the 2nd Edition. New exploratory exercises in every section that challenge students to synthesize key concepts to solve intriguing projects. New commentaries ( Beyond Formulas ) that encourage students to think mathematically beyond the procedures they learn. New counterpoints to the historical notes, Today in Mathematics, that stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. An enhanced discussion of differential equations and additional applications of vector calculus. Chapter 0: Preliminaries 0.1 Polynomials and Rational Functions 0.2 Graphing Calculators and Computer Algebra Systems 0.3 Inverse Functions 0.4 Trigonometric and Inverse Trigonometric Functions 0.5 Exponential and Logarithmic Functions. Hyperbolic Functions. Fitting a Curve to Data. 0.6 Transformations of Functions. Chapter 1: Limits and Continuity 1.1 A First Look at Calculus 1.2 The Concept of Limit 1.3 Computation of Limits 1.4 Continuity and its Consequences. The Method of Bisections 1.5 Limits Involving Infinity. Asymptotes. 1.6 Formal Definition of the Limit. Exploring the Definition of Limit Graphically. 1.7 Limits and Loss-of-Significance Errors. Computer Representation of Real Numbers. Chapter 2: Differentiation 2.1 Tangent Lines and Velocity. 2.2 The Derivative. Numerical Differentiation. 2.3 Computation of Derivatives: The Power Rule. Higher Order Derivatives Acceleration 2.4 The Product and Quotient Rules 2.5 The Chain Rule 2.6 Derivatives of the Trigonometric Functions 81

85 CALCULUS 2.7 Derivatives of the Exponential and Logarithmic Functions 2.8 Implicit Differentiation and Inverse Trigonometric Functions 2.9 The Mean Value Theorem Chapter 3: Applications of Differentiation 3.1 Linear Approximations and Newton s Method 3.2 Indeterminate Forms and L Hopital s Rule 3.3 Maximum and Minimum Values 3.4 Increasing and Decreasing Functions 3.5 Concavity and the Second Derivative Test 3.6 Overview of Curve Sketching 3.7 Optimization 3.8 Related Rates 3.9 Rates of Change in Economics and the Sciences. Chapter 4: Integration 4.1 Antiderivatives 4.2 Sums and Sigma Notation. Principle of Mathematical Induction. 4.3 Area 4.4 The Definite Integral. Average Value of a Function 4.5 The Fundamental Theorem of Calculus 4.6 Integration by Substitution 4.7 Numerical Integration. Error Bounds for Numerical Integration. 4.8 The Natural Logarithm as an Integral. The Exponential Function as the Inverse of the Natural Logarithm. Chapter 5: Applications of the Definite Integral 5.1 Area Between Curves 5.2 Volume: Slicing, Disks, and Washers 5.3 Volumes by Cylindrical Shells 5.4 Arc Length and Surface Area 5.5 Projectile Motion 5.6 Applications of Integration to Economics and the Sciences. 5.7 Probability Chapter 6: Integration Techniques 6.1 Review of Formulas and Techniques 6.2 Integration by Parts 6.3 Trigonometric Techniques of Integration. Integrals Involving Powers of Trigonometric Functions. Trigonometric Substitution 6.4 Integration of Rational Functions Using Partial Fractions. General Strategies for Integration Techniques 6.5 Integration Tables and Computer Algebra Systems 6.6 Improper Integrals. A Comparison Test. Chapter 7: First Order Differential Equations 7.1 Growth and Decay Problems. Compound Interest. Modeling with Differential Equations. 7.2 Separable Differential Equations. Logistic Growth. 7.3 Direction Fields and Euler s Method 7.4 Systems of First Order Differential Equations. Predator-Prey Systems Chapter 8: Infinite Series 8.1 Sequences of Real Numbers 8.2 Infinite Series 8.3 The Integral Test and Comparison Tests 8.4 Alternating Series. Estimating the Sum of an Alternating Series 8.5 Absolute Convergence and the Ratio Test. The Root Test. Summary of Convergence Tests 8.6 Power Series 8.7 Taylor Series. Representations of Functions as Series. Proof of Taylor s Theorem 8.8 Applications of Taylor Series. The Binomial Series 8.9 Fourier Series. Chapter 9: Parametric Equations and Polar Coordinates 9.1 Plane Curves and Parametric Equations 9.2 Calculus and Parametric Equations 9.3 Arc Length and Surface Area in Parametric Equations 9.4 Polar Coordinates 9.5 Calculus and Polar Coordinates 9.6 Conic Sections 9.7 Conic Sections in Polar Coordinates. Chapter 10: Vectors and the Geometry of Space 10.1 Vectors in the Plane 10.2 Vectors in Space 10.3 The Dot Product. Components and Projections The Cross Product 10.5 Lines and Planes in Space 10.6 Surfaces in Space Chapter 11: Vector-Valued Functions 11.1 Vector-Valued Functions 11.2 The Calculus of Vector-Valued Functions 11.3 Motion in Space 11.4 Curvature 11.5 Tangent and Normal Vectors. Tangential and Normal Components of Acceleration. Kepler s Laws 11.6 Parametric Surfaces. Chapter 12: Functions of Several Variables and Differentiation 12.1 Functions of Several Variables 12.2 Limits and Continuity 12.3 Partial Derivatives 12.4 Tangent Planes and Linear Approximations. Increments and Differentials 12.5 The Chain Rule 12.6 The Gradient and Directional Derivatives 12.7 Extrema of Functions of Several Variables 12.8 Constrained Optimization and Lagrange Multipliers Chapter 13: Multiple Integrals Double Integrals Area, Volume, and Center of Mass Double Integrals in Polar Coordinates Surface Area Triple Integrals. Mass and Center of Mass Cylindrical Coordinates Spherical Coordinates 13.8 Change of Variables in Multiple Integrals. Chapter 14: Vector Calculus 14.1 Vector Fields 14.2 Line Integrals 14.3 Independence of Path and Conservative Vector Fields 14.4 Green s Theorem 14.5 Curl and Divergence 14.6 Surface Integrals 14.7 The Divergence Theorem 14.8 Stokes Theorem 14.9 Applications of Vector Calculus. Chapter 15: Second Order Differential Equations 15.1 Second-Order Equations with Constant Coefficients 15.2 Nonhomogeneous Equations: Undetermined Coefficients 15.3 Applications of Second Order Equations 15.4 Power Series Solutions of Differential Equations. Appendix A: Proofs of Selected Theorems Appendix B: Answers to Odd-Numbered Exercises Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES 82

86 HIGHER MATHEMATICS Abstract Algebra Advanced Engineering Mathematics...94 Advanced Geometry Combinatorics...93 Complex Analysis Differential Equations...85 Differential Equations With Boundary Value Problems...87 Dynamical System...95 Graph Theory...95 History Of Mathematics...97 Introductory Analysis...97 Linear Algebra...90 Logic...94 Mathematical References Number Theory Numerical Analysis...99 Partial Differential Equations...88 Topology Transition To Higher Math/Foundations Of Higher Math

87 NEW TITLES Higher Mathematics 2009 Author ISBN-13 MHID Page Complex Variables And Applications, 8e Brown Fourier Series And Boundary Value Problems, 7e Brown

88 HIGHER MATHEMATICS Differential Equations International Edition DIFFERENTIAL EQUATIONS: Theory, Technique, and Practice By George F. Simmons, Colorado College, and Steven G. Krantz, Washington University-St Louis 2007 (December 2005) / 768 pages / Hardcover ISBN-13: / MHID: ISBN-13: / MHID: [IE] This traditional text is intended for mainstream one- or two-semester differential equations courses taken by undergraduates majoring in engineering, mathematics, and the sciences. Written by two of the world s leading authorities on differential equations, Simmons/ Krantz provides a cogent and accessible introduction to ordinary differential equations written in classical style. Its rich variety of modern applications in engineering, physics, and the applied sciences illuminate the concepts and techniques that students will use through practice to solve real-life problems in their careers. This text is part of the Walter Rudin Student Series in Advanced Mathematics. Preface 1 What is a Differential Equation? 1.1 Introductory Remarks 1.2 The Nature of Solutions 1.3 Separable Equations 1.4 First-Order Linear Equations 1.5 Exact Equations 1.6 Orthogonal Trajectories and Families of Curves 1.7 Homogeneous Equations 1.8 Integrating Factors 1.9 Reduction of Order Dependent Variable Missing Independent Variable Missing 1.10 The Hanging Chain and Pursuit Curves The Hanging Chain Pursuit Curves 1.11 Electrical Circuits Anatomy of an Application: The Design of a Dialysis Machine. Problems for Review and Discovery. 2 Second-Order Equations 2.1 Second-Order Linear Equations with Constant Coefficients 2.2 The Method of Undetermined Coefficients 2.3 The Method of Variation of Parameters 2.4 The Use of a Known Solution to Find Another 2.5 Vibrations and Oscillations Undamped Simple Harmonic Motion Damped Vibrations Forced Vibrations A Few Remarks About Electricity 2.6 Newton s Law of Gravitation and Kepler s Laws Kepler s Second Law Kepler s First Law Kepler s Third Law 2.7 Higher Order Equations. Anatomy of an Application: Bessel Functions and the Vibrating Membrane. Problems for Review and Discovery. 3 Qualitative Properties and Theoretical Aspects 3.0 Review of Linear Algebra Vector Spaces The Concept Linear Independence Bases Inner Product Spaces Linear Transformations and Matrices Eigenvalues and Eigenvectors 3.1 A Bit of Theory 3.2 Picard s Existence and Uniqueness Theorem The Form of a Differential Equation Picard s Iteration Technique Some Illustrative Examples Estimation of the Picard Iterates 3.3 Oscillations and the Sturm Separation Theorem 3.4 The Sturm Comparison Theorem. Anatomy of an Application: The Green s Function. Problems for Review and Discovery. 4 Power Series Solutions and Special Functions 4.1 Introduction and Review of Power Series Review of Power Series. 4.2 Series Solutions of First-Order Differential Equations. 4.3 Second-Order Linear Equations: Ordinary Points. 4.4 Regular Singular Points. 4.5 More on Regular Singular Points. 4.6 Gauss s Hypergeometric Equation. Anatomy of an Application: Steady State Temperature in a Ball. Problems for Review and Discovery. 5 Fourier Series: Basic Concepts. 5.1 Fourier Coefficients. 5.2 Some Remarks about Convergence. 5.3 Even and Odd Functions: Cosine and Sine Series. 5.4 Fourier Series on Arbitrary Intervals. 5.5 Orthogonal Functions. Anatomy of an Application: Introduction to the Fourier Transform. Problems for Review and Discovery. 6 Partial Differential Equations and Boundary Value Problems. 6.1 Introduction and Historical Remarks. 6.2 Eigenvalues, Eigenfunctions, and the Vibrating String Boundary Value Problems Derivation of the Wave Equation Solution of the Wave Equation. 6.3 The Heat Equation. 6.4 The Dirichlet Problem for a Disc The Poisson Integral 6.5 Sturm-Liouville Problems. Anatomy of an Application: Some Ideas from Quantum Mechanics. Problems for Review and Discovery. 7 Laplace Transforms. 7.0 Introduction 7.1 Applications to Differential Equations 7.2 Derivatives and Integrals of Laplace Transforms 7.3 Convolutions 7.4 The Unit Step and Impulse Functions. Anatomy of an Application: Flow Initiated by an Impulsively-Started Flat Plate. Problems for Review and Discovery. 8 The Calculus of Variations 8.1 Introductory Remarks. 8.2 Euler s Equation. 8.3 Isoperimetric Problems and the Like Lagrange Multipliers Integral Side Conditions Finite Side Conditions. Anatomy of an Application: Hamilton s Principle and its Implications. Problems for Review and Discovery. 9 Numerical Methods. 9.1 Introductory Remarks. 9.2 The Method of Euler. 9.3 The Error Term. 9.4 An Improved Euler Method 9.5 The Runge-Kutta Method. Anatomy of an Application: A Constant Perturbation Method for Linear, Second-Order Equations. Problems for Review and Discovery. 10 Systems of First-Order Equations 10.1 Introductory Remarks Linear Systems 10.3 Homogeneous Linear Systems with Constant Coefficients 10.4 Nonlinear Systems: Volterra s Predator-Prey Equations. Anatomy of an Application: Solution of Systems with Matrices and Exponentials. Problems for Review and Discovery. 11 The Nonlinear Theory Some Motivating Examples 11.2 Specializing Down 11.3 Types of Critical Points: Stability 85

89 HIGHER MATHEMATICS 11.4 Critical Points and Stability for Linear Systems 11.5 Stability by Liapunov s Direct Method 11.6 Simple Critical Points of Nonlinear Systems 11.7 Nonlinear Mechanics: Conservative Systems 11.8 Periodic Solutions: The Poincaré-Bendixson Theorem. Anatomy of an Application: Mechanical Analysis of a Block on a Spring. Problems for Review and Discovery. 12 Dynamical Systems 12.1 Flows Dynamical Systems Stable and Unstable Fixed Points Linear Dynamics in the Plane 12.2 Some Ideas from Topology Open and Closed Sets The Idea of Connectedness Closed Curves in the Plane 12.3 Planar Autonomous Systems Ingredients of the Proof of Poincaré-Bendixson. Anatomy of an Application: Lagrange s Equations. Problems for Review and Discovery. Bibliography DIFFERENTIAL EQUATIONS By Keng Cheng Ang 2005 (October 2005) ISBN-13: / MHID: An Asian Publication Many books on differential equations assume that the reader has a fairly sophisticated level of competence in calculus at the university level. Differential Equations: Models and Methods differs from them in that it enables a student with some basic knowledge of calculus to learn about differential equations and appreciate their applications. The focus of the book is on first order differential equations, their methods of solution and their use in mathematical models. Methods include analytic and graphical solutions, as well as numerical techniques. Readers will not only learn the necessary techniques of solving first order differential equations, but also how these equations can be applied in different fields. Examples have been carefully chosen to provide motivation for new concepts or techniques, and to illustrate the importance of differential equations. This book was written with student needs in mind; in particular, pre-university students taking the new GCE A Level H3 Mathematics will find it useful in helping them through the course. Preface 1. Basic Concepts 2. Analytic Solutions 3. Graphical Techniques 4. Numerical Methods 5. Mathematical Models 6. Further Applications Further Reading Appendix A: Table of Integrals Appendix B: Method of Least Squares Answers to Odd-numbered Problems Index International Edition DIFFERENTIAL EQUATIONS: A Modeling Approach By Glenn Ledder, University of Nebraska Lincoln 2005 / 768 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] 1 Introduction: 1.1 Natural Decay and Natural Growth. 1.2 Differential Equations and Solutions. 1.3 Mathematical Models and Mathematical Modeling. Case Study 1 Scientific Detection of Art Forgery. 2 Basic Concepts and Techniques: 2.1 A Collection of Mathematical Models. 2.2 Separable First-Order Equations. 2.3 Slope Fields. 2.4 Existence of Unique Solutions. 2.5 Euler s Method. 2.6 Runge-Kutta Methods. Case Study 2 A Successful Volleyball Serve. 3 Homogeneous Linear Equations. 3.1 Linear Oscillators. 3.2 Systems of Linear Algebraic Equations. 3.3 Theory of Homogeneous Linear Equations. 3.4 Homogeneous Equations with Constant Coefficients. 3.5 Real Solutions from Complex Characteristic Values. 3.6 Multiple Solutions for Repeated Characteristic Values. 3.7 Some Other Homogeneous Linear Equations. Case Study 3 How Long Should Jellyfish Hold their Food? 4 Nonhomogeneous Linear Equations: 4.1 More on Linear Oscillator Models. 4.2 General Solutions for Nonhomogeneous Equations. 4.3 The Method of Undetermined Coefficients. 4.4 Forced Linear Oscillators. 4.5 Solving First-Order Linear Equations. 4.6 Particular Solutions for Second-Order Equations by Variation of Parameters. Case Study 4 A Tuning Circuit for a Radio. 5 Autonomous Equations and Systems: 5.1 Population Models. 5.2 The Phase Line. 5.3 The Phase Plane. 5.4 The Direction Field and Critical Points. 5.5 Qualitative Analysis. Case Study 5 A Self-Limiting Population. 6 Analytical Methods for Systems: 6.1 Compartment Models. 6.2 Eigenvalues and Eigenspaces. 6.3 Linear Trajectories. 6.4 Homogeneous Systems with Real Eigenvalues. 6.5 Homogeneous Systems with Complex Eigenvalues. 6.6 Additional Solutions for Deficient Matrices. 6.7 Qualitative Behavior of Nonlinear Systems. Case Study 6 Invasion by Disease. 7 The Laplace Transform: 7.1 Piecewise-Continuous Functions. 7.2 Definition and Properties of the Laplace Transform. 7.3 Solution of Initial-Value Problems with the Laplace Transform. 7.4 Piecewise-Continuous and Impulsive Forcing. 7.5 Convolution and the Impulse Response Function. Case Study 7 Growth of a Structured Population. 8 Vibrating Strings: A Focused Introduction to Partial Differential Equations: 8.1 Transverse Vibration of a String. 8.2 The General Solution of the Wave Equation. 8.3 Vibration Modes of a Finite String. 8.4 Motion of a Plucked String. 86

90 HIGHER MATHEMATICS 8.5 Fourier Series. Case Study 8 Stringed Instruments and Percussion. A Some Additional Topics: A.1 Using Integrating Factors to Solve First-Order Linear Equations (Chapter 2). A.2 Proof of the Existence and Uniqueness Theorem for First-Order Equations (Chapter 2). A.3 Error in Numerical Methods (Chapter 2). A.4 Power Series Solutions (Chapter 3). A.5 Matrix Functions (Chapter 6). A.6 Nonhomogeneous Linear Systems (Chapter 6). A.7 The One-Dimensional Heat Equation (Chapter 8). A.8 Laplace s Equation (Chapter 8) International Edition Differential Equations with Applications and Historical Notes Second Edition By George F. Simmons, Colorado College 1991 / 640 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] 1 The Nature of Differential Equations. 2 First Order Equations. 3 Second Order Linear Equations. 4 Qualitative Properties of Solutions. 5 Power Series Solutions and Special Functions. 6 Fourier Series and Orthogonal Functions. 7 Partial Differential Equations and Boundary Value Problems. 8 Some Special Functions of Mathematical Physics. 9 Laplace Transforms. 10 Systems of First Order Equations. 11 Nonlinear Equations. 12 The Calculus of Variations. 13 The Existence and Uniqueness of Solutions. 14 Numerical Methods. SCHAUM S OUTLINE OF DIFFERENTIAL EQUATIONS Third Edition By Richard Bronson, Fairleigh Dickinson University-Madison and Gabriel Costa, US Military Academy 2006 (June 2006) / 384 pages ISBN-13: / MHID: A Schaum s Publication Thoroughly updated, this third edition of Schaum s Outline of Differential Equations offers you new, faster techniques for solving differential equations generated by the emergence of high-speed computers. Differential equations, a linchpin of modern math, are essential in engineering, the natural sciences, economics, and business. Includes: 563 fully solved problems 800-plus supplementary problems New chapter on modeling Differential Equations with Boundary Value Problems International Edition DIFFERENTIAL EQUATIONS: Theory, Technique, and Practice By George F. Simmons, Colorado College, and Steven G. Krantz, Washington University-St Louis 2007 (December 2005) / 768 pages / Hardcover ISBN-13: / MHID: ISBN-13: / MHID: [IE] This traditional text is intended for mainstream one- or two-semester differential equations courses taken by undergraduates majoring in engineering, mathematics, and the sciences. Written by two of the world s leading authorities on differential equations, Simmons/ Krantz provides a cogent and accessible introduction to ordinary differential equations written in classical style. Its rich variety of modern applications in engineering, physics, and the applied sciences illuminate the concepts and techniques that students will use through practice to solve real-life problems in their careers. This text is part of the Walter Rudin Student Series in Advanced Mathematics. Preface 1 What is a Differential Equation? 1.1 Introductory Remarks 1.2 The Nature of Solutions 1.3 Separable Equations 1.4 First-Order Linear Equations 1.5 Exact Equations 1.6 Orthogonal Trajectories and Families of Curves 1.7 Homogeneous Equations 1.8 Integrating Factors 1.9 Reduction of Order Dependent Variable Missing Independent Variable Missing 1.10 The Hanging Chain and Pursuit Curves The Hanging Chain Pursuit Curves 1.11 Electrical Circuits Anatomy of an Application: The Design of a Dialysis Machine. Problems for Review and Discovery. 2 Second-Order Equations 2.1 Second-Order Linear Equations with Constant Coefficients 2.2 The Method of Undetermined Coefficients 2.3 The Method of Variation of Parameters 2.4 The Use of a Known Solution to Find Another 2.5 Vibrations and Oscillations Undamped Simple Harmonic Motion Damped Vibrations Forced Vibrations A Few Remarks About Electricity 2.6 Newton s Law of Gravitation and Kepler s Laws Kepler s Second Law Kepler s First Law Kepler s Third Law 2.7 Higher Order Equations. Anatomy of an Application: Bessel Functions and the Vibrating Membrane. Problems for Review and Discovery. 3 Qualitative Properties and Theoretical Aspects 3.0 Review of Linear Algebra Vector Spaces The Concept Linear Independence Bases 87

91 HIGHER MATHEMATICS Inner Product Spaces Linear Transformations and Matrices Eigenvalues and Eigenvectors 3.1 A Bit of Theory 3.2 Picard s Existence and Uniqueness Theorem The Form of a Differential Equation Picard s Iteration Technique Some Illustrative Examples Estimation of the Picard Iterates 3.3 Oscillations and the Sturm Separation Theorem 3.4 The Sturm Comparison Theorem. Anatomy of an Application: The Green s Function. Problems for Review and Discovery. 4 Power Series Solutions and Special Functions 4.1 Introduction and Review of Power Series Review of Power Series. 4.2 Series Solutions of First-Order Differential Equations. 4.3 Second-Order Linear Equations: Ordinary Points. 4.4 Regular Singular Points. 4.5 More on Regular Singular Points. 4.6 Gauss s Hypergeometric Equation. Anatomy of an Application: Steady State Temperature in a Ball. Problems for Review and Discovery. 5 Fourier Series: Basic Concepts. 5.1 Fourier Coefficients. 5.2 Some Remarks about Convergence. 5.3 Even and Odd Functions: Cosine and Sine Series. 5.4 Fourier Series on Arbitrary Intervals. 5.5 Orthogonal Functions. Anatomy of an Application: Introduction to the Fourier Transform. Problems for Review and Discovery. 6 Partial Differential Equations and Boundary Value Problems. 6.1 Introduction and Historical Remarks. 6.2 Eigenvalues, Eigenfunctions, and the Vibrating String Boundary Value Problems Derivation of the Wave Equation Solution of the Wave Equation. 6.3 The Heat Equation. 6.4 The Dirichlet Problem for a Disc The Poisson Integral 6.5 Sturm-Liouville Problems. Anatomy of an Application: Some Ideas from Quantum Mechanics. Problems for Review and Discovery. 7 Laplace Transforms. 7.0 Introduction 7.1 Applications to Differential Equations 7.2 Derivatives and Integrals of Laplace Transforms 7.3 Convolutions 7.4 The Unit Step and Impulse Functions. Anatomy of an Application: Flow Initiated by an Impulsively-Started Flat Plate. Problems for Review and Discovery. 8 The Calculus of Variations 8.1 Introductory Remarks. 8.2 Euler s Equation. 8.3 Isoperimetric Problems and the Like Lagrange Multipliers Integral Side Conditions Finite Side Conditions. Anatomy of an Application: Hamilton s Principle and its Implications. Problems for Review and Discovery. 9 Numerical Methods. 9.1 Introductory Remarks. 9.2 The Method of Euler. 9.3 The Error Term. 9.4 An Improved Euler Method 9.5 The Runge-Kutta Method. Anatomy of an Application: A Constant Perturbation Method for Linear, Second-Order Equations. Problems for Review and Discovery. 10 Systems of First-Order Equations 10.1 Introductory Remarks Linear Systems 10.3 Homogeneous Linear Systems with Constant Coefficients 10.4 Nonlinear Systems: Volterra s Predator-Prey Equations. Anatomy of an Application: Solution of Systems with Matrices and Exponentials. Problems for Review and Discovery. 11 The Nonlinear Theory Some Motivating Examples 11.2 Specializing Down 11.3 Types of Critical Points: Stability 11.4 Critical Points and Stability for Linear Systems 11.5 Stability by Liapunov s Direct Method 11.6 Simple Critical Points of Nonlinear Systems 11.7 Nonlinear Mechanics: Conservative Systems 11.8 Periodic Solutions: The Poincaré-Bendixson Theorem. Anatomy of an Application: Mechanical Analysis of a Block on a Spring. Problems for Review and Discovery. 12 Dynamical Systems 12.1 Flows Dynamical Systems Stable and Unstable Fixed Points Linear Dynamics in the Plane 12.2 Some Ideas from Topology Open and Closed Sets The Idea of Connectedness Closed Curves in the Plane 12.3 Planar Autonomous Systems Ingredients of the Proof of Poincaré-Bendixson. Anatomy of an Application: Lagrange s Equations. Problems for Review and Discovery. Bibliography New Partial Differential Equations International Edition FOURIER SERIES AND BOUNDARY VALUE PROBLEMS Seventh Edition By James Ward Brown, University of Michigan- Dearborn and Ruel Churchill (deceased) 2008 (August 2006) / 384 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations. New to this edition Reorganization of Topics: Topics in the text have been realigned to allow for more focus on each section and to allow for more 88

92 HIGHER MATHEMATICS examples. The chapter on The Fourier Method has been moved earlier in the book (now Chapter 2). The former Fourier Series chapter has been split into two chapters (Chapter 3: Orthonormal Sets and Fourier Series and Chapter 4: Convergence of Fourier Series). Problem Sets Revised: Problem sets have been broken up into more manageable segments to allow for each problem set to be very focused. Examples Added: Additional examples have been added in each chapter to help illustrate important topics. Preface 1 Fourier Series 2 Convergence of Fourier Series 3 Partial Differential Equations of Physics 4 The Fourier Method 5 Boundary Value Problems 6 Fourier Integrals and Applications 7 Orthonormal Sets 8 Sturm-Liouville Problems and Applications 9 Bessel Functions and Applications 10 Legendre Polynomials and Applications 11 Verification of Solutions and Uniqueness Appendixes Bibliography Some Fourier Series Expansions Solutions of Some Regular Sturm-Liouville Problems Index International Edition Elements of Partial Differential Equations By Sneddon 1985 / 344 pages ISBN-13: / MHID: [IE] SCHAUM S OUTLINE OF PARTIAL DIFFERENTIAL EQUATIONS By Paul DuChateau, Colorado State University and D W Zachmann, Colorado State University 1986 / 256 pages ISBN-13: / MHID: A Schaum s Publication Introduction. Classification and Characteristics. Qualitative Behavior of Solutions to Elliptic Equations. Qualitative Behavior of Solutions to Evolution Equations. First-Order Equations Eigenfunction Expansions and Integral Transforms: Theory. Eigenfunction Expansions and Integral Transforms: Applications. Green s Functions. Difference Methods for Parabolic Equations. Difference and Characteristic Methods for Parabolic Equations. Difference Methods for Hyperbolic Equations. Difference Methods for Elliptic Equations. Variational Formulation of Boundary Value Problems. The Finite Element Method: An Introduction. Answers to Supplementary Problems. Transition to Higher Math /Foundations of Higher Math International Edition TRANSITION TO HIGHER MATHEMATICS Structure and Proof By Bob A. Dumas, University Of Washington, and John E. McCarthy, Washington University-St Louis 2007 (February 2006) / 416 pages / Hardcover ISBN-13: / MHID: X ISBN-13: / MHID: [IE] This text is intended for the Foundations of Higher Math bridge course taken by prospective math majors following completion of the mainstream Calculus sequence, and is designed to help students develop the abstract mathematical thinking skills necessary for success in later upper-level majors math courses. As lower-level courses such as Calculus rely more exclusively on computational problems to service students in the sciences and engineering, math majors increasingly need clearer guidance and more rigorous practice in proof technique to adequately prepare themselves for the advanced math curriculum. With their friendly writing style Bob Dumas and John McCarthy teach students how to organize and structure their mathematical thoughts, how to read and manipulate abstract definitions, and how to prove or refute proofs by effectively evaluating them. Its wealth of exercises give students the practice they need, and its rich array of topics give instructors the flexibility they desire to cater coverage to the needs of their school s majors curriculum. This text is part of the Walter Rudin Student Series in Advanced Mathematics. Chapter 0. Introduction Why this book is 0.2. What this book is 0.3. What this book is not 0.4. Advice to the Student 0.5. Advice to the Teacher 0.6. Acknowledgements Chapter 1. Preliminaries 1.1. And Or 1.2. Sets 1.3. Functions 1.4. Injections, Surjections, Bijections 1.5. Images and Inverses 1.6. Sequences 1.7. Russell s Paradox 1.8. Exercises Chapter 2. Relations 2.1. Definitions 2.2. Orderings 2.3. Equivalence Relations 2.4. Constructing Bijections 2.5. Modular Arithmetic 2.6. Exercises Chapter 3. Proofs 3.1. Mathematics and Proofs 89

93 HIGHER MATHEMATICS 3.2. Propositional Logic 3.3. Formulas 3.4. Quantifiers 3.5. Proof Strategies 3.6. Exercises. Chapter 4. Principle of Induction 4.1. Well-orderings 4.2. Principle of Induction 4.3. Polynomials 4.4. Arithmetic-Geometric Inequality 4.5. Exercises Chapter 5. Limits 5.1. Limits 5.2. Continuity 5.3. Sequences of Functions 5.4. Exercises Chapter 6. Cardinality 6.1. Cardinality 6.2. Infinite Sets 6.3. Uncountable Sets 6.4. Countable Sets 6.5. Functions and Computability 6.6. Exercises. Chapter 7. Divisibility 7.1. Fundamental Theorem of Arithmetic 7.2. The Division Algorithm 7.3. Euclidean Algorithm 7.4. Fermat s Little Theorem 7.5. Divisibility and Polynomials 7.6. Exercises Chapter 8. The Real Numbers The Natural Numbers 8.2. The Integers 8.3. The Rational Numbers 8.4. The Real Numbers 8.5. The Least Upper Bound Principle 8.6. Real Sequences 8.7. Ratio Test 8.8. Real Functions 8.9. Cardinality of the Real Numbers Exercises Chapter 9. Complex Numbers 9.1. Cubics 9.2. Complex Numbers 9.3. Tartaglia-Cardano Revisited 9.4. Fundamental Theorem of Algebra 9.5. Application to Real Polynomials 9.6. Further remarks 9.7. Exercises Appendix A. The Greek Alphabet Appendix B. Axioms of Zermelo-Fraenkel with the Axiom of Choice Appendix C. Hints to get started on early exercises. Bibliography. Index Linear Algebra International Edition LINEAR ALGEBRA WITH APPLICATIONS Fifth Edition By Keith Nicholson, University of Calgary 2006 (January 2006) / 512 pages ISBN-13: / MHID: ISBN-13: / MHID: X [IE] McGraw-Hill Canada Title W. Keith Nicholson s Linear Algebra with Applications, Fifth Canadian Edition is written for first and second year students at both the college or university level. Its real world approach challenges students stepby-step, gradually bringing them to a higher level of understanding from abstract to more general concepts. Real world applications have been added to the new edition, including: Directed graphs Google PageRank Computer graphics Correlation and Variance Finite Fields and Linear Codes In addition to the new applications, the author offers several new exercises and examples throughout each chapter. Some new examples include: motivating matrix multiplication (Chapter 2) a new way to expand a linearly independent set to a basis using an existing basis While some instructors will use the text for one semester, ending at Chapter 5 The Vector Space Rn others will continue with more abstract concepts being introduced. Chapter 5 prepares students for the transition, acting as the bridging chapter, allowing challenging concepts like subspaces, spanning, independence and dimension to be assimilated first in the concrete context of Rn. This bridging concept eases students into the introduction of vector spaces in Chapter 6. Chapter 1 Systems of Linear Equations 1.1 Solutions and Elementary Operations 1.2 Gaussian Elimination 1.3 Homogeneous Equations 1.4 An Application to Network Flow 1.5 An Application to Electrical Networks 1.6 An Application to Chemical Reactions Supplementary Exercises for Chapter 1 Chapter 2 Matrix Algebra 2.1 Matrix Addition, Scalar Multiplication, and Transposition 2.2 Matrix Multiplication 2.3 Matrix Inverses 2.4 Elementary Matrices 2.5 Matrix Transformations 2.6 LU-Factorization 2.7 An Application to Input-Output Economic Models 2.8 An Application to Markov Chains Supplementary Exercises for Chapter 2 Chapter 3 Determinants and Diagonalization 3.1 The Cofactor Expansion 3.2 Determinants and Matrix Inverses 3.3 Diagonalization and Eigenvalues 3.5 An Application to Linear Recurrences 3.6 An Application to Population Growth 3.7 Proof of the Cofactor Expansion Supplementary Exercises for Chapter 3 Chapter 4 Vector Geometry 4.1 Vectors and Lines 4.2 Projections and Planes 4.3 The Cross Product 4.4 Matrix Transformations II 4.5 An Application to Computer Graphics Supplementary Exercises for Chapter 4 Chapter 5 The Vector Space Rn 5.1 Subspaces and Spanning 5.2 Independence and Dimension 5.3 Orthogonality 90

94 HIGHER MATHEMATICS 5.4 Rank of a Matrix 5.5 Similarity and Diagonalization 5.6 An Application to Correlation and Variance 5.7 An Application to Least Squares Approximation Supplementary Exercises for Chapter 5 Chapter 6 Vector Spaces 6.1 Examples and Basic Properties 6.2 Subspaces and Spanning Sets 6.3 Linear Independence and Dimension 6.4 Finite Dimensional Spaces 6.5 An Application to Polynomials 6.6 An Application to Differential Equations Supplementary Exercises for Chapter 6 Chapter 7 Linear Transformations 7.1 Examples and Elementary Properties 7.2 Kernel and Image of a Linear Transformation 7.3 Isomorphisms and Composition 7.4 More on Linear Recurrences Chapter 8 Orthogonality 8.1 Orthogonal Complements and Projections 8.2 Orthogonal Diagonalization 8.3 Positive Definite Matrices 8.4 QR-Factorization 8.5 Computing Eigenvalues 8.6 Complex Matrices 8.7 Best Approximation and Least Squares 8.8 Finite Fields and Linear Codes 8.9 An Application to Quadratic Forms 8.10 An Application to Systems of Differential Equations Chapter 9 Change of Basis 9.1 The Matrix of a Linear Transformation 9.2 Operators and Similarity 9.3 Invariant Subspaces and Direct Sums 9.4 Block Triangular Form *9.5 Jordan Canonical Form Chapter 10 Inner Product Spaces 10.1 Inner Products and Norms 10.2 Orthogonal Sets of Vectors 10.3 Orthogonal Diagonalization 10.4 Isometries 10.5 An Application to Fourier Approximation INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: International Edition ELEMENTARY LINEAR ALGEBRA Second Edition By Keith Nicholson, University of Calgary 2004 / 608 pages / softcover ISBN-13: / MHID: ISBN-13: / MHID: X [IE] McGraw-Hill Canada Title Chapter 1 Linear Equations and Matrices: Matrices. Linear Equations. Homogeneous Systems. Matrix Multiplication. Matrix Inverses. Elementary Matrices. Lu-Factorization. Application ot Markov Chains. Chapter 2 Determinants and Eigenvalues: Cofactor Expansions. Determinants and Inversees. Diagonalization and Eigenvalues. Linear Dynamical Systems. Complex Eignevalues. Linear Recurrences. Polynomial Interpolation. Systems of Differential Equations. Chapter 3 Vector Geometry: Geometric Vectors. Dot Product and Projections. Lines and Planes. Matrix Transformation of R^2. The Cross Product: Optional. Chapter 4 The Vector Space R^n. Subspaces and Spanning. Linear Independence. Dimension. Rank. Orthogonality. Projections and Approximation. Orthogonal Diagonalization. Quadratic Forms. Linear Transformations. Complex Matrices. Singular Value Decomposition. Chapter 5 Vector Spaces: Examples and Basic Properties. Independence and Dimension. Linear Transformations. Isomorphisms and Matrices. Linear Operations and Similarity. Invariant Subspaces. General Inner Products. Appendix: A.1 Basic Trigonometry. A.2 Induction. A.3 Polynomials 91

95 HIGHER MATHEMATICS SCHAUM S OUTLINE OF LINEAR ALGEBRA Fourth Edition By Seymour Lipschutz, Temple University-Philadelphia and Marc Lipson, University of Georgia 2009 (July 2008) / 480 pages ISBN-13: / MHID: X A Schaum s Publication A classic Schaum s bestseller, thoroughly updated to match the latest course scope and sequence. The ideal review for hundreds of thousands of college and high school students who enroll in linear algebra courses. CONTENTS 1. Vectors in R and C, Spatial Vectors 2. Algebra of Matrices 3. Systems of Linear Equations 4. Vector Spaces 5. Linear Mappings 6. Linear Mappings and Matrices 7. Inner Product Spaces, Orthogonality 8. Determinants 9. Diagonalization: Eigenvalues and Eigenvectors 10. Canonical Forms 11. Linear Functionals and the Dual Space 12. Bilinear, Quadratic, and Hermitian Forms 13. Linear Operators on Inner Product Spaces 14. Multilinear Products LINEAR ALGEBRA DEMYSTIFIED By David McMahon 2006 (October 2005) / 255 pages ISBN-13: / MHID: A Professional Publication Taught at junior level math courses at every university, Linear Algebra is essential for students in almost every technical and analytic discipline. PREFACE Chapter 1: Systems of Linear Equations Chapter 2: Matrix Algebra Chapter 3: Determinants Chapter 4: Vectors Chapter 5: Vector Spaces Chapter 6: Inner Product Spaces Chapter 7: Linear Transformations Chapter 8: The Eigenvalue Problem Chapter 9: Special Matrices Chapter 10: Matrix Decomposition Final Exam Hints And Solutions References Index SCHAUM S EASY OUTLINES: LINEAR ALGEBRA By Seymour Lipschutz, Temple University - Philadelphia Marc Lipson, University of Georgia 2003 ISBN-13: / MHID: A Schaum s Publication What could be better than the bestselling Schaum s Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum s Easy Outline series. Every book in this series is a pared-down, simplified, and tightly focused version of its predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and updated formatº and the absolute essence of the subject, presented in a concise and readily understandable form. Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials. Schaum s 3,000 Solved Problems in Linear Algebra By Seymour Lipschultz, Temple University 1989 / 496 pages ISBN-13: / MHID: A Schaum s Publication Vectors in R and C. Matrix Algebra. Systems of Linear Equations. Square Matrices. Determinants. Algebraic Structures. Vector Spaces and Subspaces. Linear Dependence, Basis, Dimension. Mappings. Linear Mappings. Spaces of Linear Mappings. Matrices and Linear Mappings. Change of Basis, Similarity. Inner Product Spaces, Orthogonality. Polynomials Over a Field. Eigenvalues and Eigenvectors. Diagonalization. Canonical Forms. Linear Functional and the Dual Space. Bilinear, Quadratic, and Hermitian Forms. Linear Operators on Inner Product Spaces. Applications to Geometry and Calculus. Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES 92

96 HIGHER MATHEMATICS Combinatorics International Edition INTRODUCTION TO ENUMERATIVE COMBINATORICS By Miklos Bona, University Of Gainesville 2007 (September 2005) / 533 pages / Hardcover ISBN-13: / MHID: X ISBN-13: / MHID: [IE] Written by one of the leading authors and researchers in the field, this comprehensive modern text is written for one- or twosemester undergraduate courses in General Combinatorics or Enumerative Combinatorics taken by math and computer science majors. Introduction to Enumerative Combinatorics features a strongly-developed focus on enumeration, a vitally important area in introductory combinatorics crucial for further study in the field. Miklós Bóna s text is one of the very first enumerative combinatorics books written specifically for the needs of an undergraduate audience, with a lively and engaging style that is ideal for presenting the material to sophomores or juniors. This text is part of the Walter Rudin Student Series in Advanced Mathematics. Foreword. Preface. Acknowledgments. I How: Methods. 1 Basic Methods. 1.1 When We Add and When We Subtract When We Add When We Subtract 1.2 When We Multiply The Product Principle Using Several Counting Principles When Repetitions Are Not Allowed 1.3 When We Divide The Division Principle Subsets 1.4 Applications of Basic Counting Principles Bijective Proofs Properties of Binomial Coefficients Permutations With Repetition. 1.5 The Pigeonhole Principle 1.6 Notes 1.7 Chapter Review 1.8 Exercises 1.9 Solutions to Exercises 1.10 Supplementary Exercises. 2 Direct Applications of Basic Methods 2.1 Multisets and Compositions Weak Compositions Compositions 2.2 Set Partitions Stirling Numbers of the Second Kind Recurrence Relations for Stirling Numbers of the Second Kind When the Number of Blocks Is Not Fixed 2.3 Partitions of Integers Nonincreasing Finite Sequences of Integers Ferrers Shapes and Their Applications Excursion: Euler s Pentagonal Number Theorem 2.4 The Inclusion-Exclusion Principle Two Intersecting Sets Three Intersecting Sets Any Number of Intersecting Sets 2.5 The Twelvefold Way 2.6 Notes 2.7 Chapter Review 2.8 Exercises 2.9 Solutions to Exercises 2.10 Supplementary Exercises 3 Generating Functions 3.1 Power Series Generalized Binomial Coefficients Formal Power Series 3.2 Warming Up: Solving Recursions Ordinary Generating Functions Exponential Generating Functions 3.3 Products of Generating Functions Ordinary Generating Functions Exponential Generating Functions 3.4 Excursion: Composition of Two Generating Functions Ordinary Generating Functions Exponential Generating Functions 3.5 Excursion: A Different Type of Generating Function 3.6 Notes 3.7 Chapter Review 3.8 Exercises 3.9 Solutions to Exercises 3.10 Supplementary Exercises. II What: Topics. 4 Counting Permutations 4.1 Eulerian Numbers 4.2 The Cycle Structure of Permutations Stirling Numbers of the First Kind Permutations of a Given Type 4.3 Cycle Structure and Exponential Generating Functions 4.4 Inversions Counting Permutations with Respect to Inversions 4.5 Notes 4.6 Chapter Review 4.7 Exercises 4.8 Solutions to Exercises 4.9 Supplementary Exercises 5 Counting Graphs 5.1 Counting Trees and Forests Counting Trees 5.2 The Notion of Graph Isomorphisms 5.3 Counting Trees on Labeled Vertices Counting Forests 5.4 Graphs and Functions Acyclic Functions Parking Functions 5.5 When the Vertices Are Not Freely Labeled Rooted Plane Trees Binary Plane Trees 5.6 Excursion: Graphs on Colored Vertices Chromatic Polynomials Counting k-colored Graphs 5.7 Graphs and Generating Functions Generating Functions of Trees Counting Connected Graphs Counting Eulerian Graphs 5.8 Notes 5.9 Chapter Review 5.10 Exercises 5.11 Solutions to Exercises 5.12 Supplementary Exercises 6 Extremal Combinatorics 6.1 Extremal Graph Theory Bipartite Graphs Tur an s Theorem Graphs Excluding Cycles Graphs Excluding Complete Bipartite Graphs 6.2 Hypergraphs Hypergraphs with Pairwise Intersecting Edges Hypergraphs with Pairwise Incomparable Edges 6.3 Something Is More Than Nothing: Existence Proofs 93

97 HIGHER MATHEMATICS Property B Excluding Monochromatic Arithmetic Progressions Codes Over Finite Alphabets 6.4 Notes 6.5 Chapter Review 6.6 Exercises 6.7 Solutions to Exercises 6.8 Supplementary Exercises. III What Else: Special Topics. 7 Symmetric Structures 7.1 Hypergraphs with Symmetries 7.2 Finite Projective Planes Excursion: Finite Projective Planes of Prime Power Order 7.3 Error-Correcting Codes Words Far Apart Codes from Hypergraphs Perfect Codes 7.4 Counting Symmetric Structures 7.5 Notes 7.6 Chapter Review 7.7 Exercises 7.8 Solutions to Exercises 7.9 Supplementary Exercises 8 Sequences in Combinatorics 8.1 Unimodality 8.2 Log-Concavity Log-Concavity Implies Unimodality The Product Property Injective Proofs 8.3 The Real Zeros Property 8.4 Notes 8.5 Chapter Review 8.6 Exercises 8.7 Solutions to Exercises 8.8 Supplementary Exercises 9 Counting Magic Squares and Magic Cubes 9.1 An Interesting Distribution Problem 9.2 Magic Squares of Fixed Size The Case of n = The Function Hn(r) for Fixed n 9.3 Magic Squares of Fixed Line Sum 9.4 Why Magic Cubes Are Different 9.5 Notes 9.6 Chapter Review 9.7 Exercises 9.8 Supplementary Exercises. A The Method of Mathematical Induction. A.1 Weak Induction A.2 Strong Induction References Index List of Frequently Used Notation Logic SCHAUM S EASY OUTLINE OF LOGIC By John Nolt, University of Tennessee, Dennis Rohatyn, University of San Diego and Achille Varzi, Columbia University-New York 2006 (September 2005) / 160pages ISBN-13: / MHID: A Schaum s Publication Pared-down, simplified, and tightly focused, Schaum s Easy Outline of Logic is perfect for anyone turned off by dense text. Cartoons, sidebars, icons, and other graphic pointers get the material across fast, and concise text focuses on the essence of logic. This is the ideal book for last-minute test preparation. Advanced Engineering Mathematics HIGHER ENGINEERING MATHEMATICS By B.V. Ramana, JNTU College of Engineering-Kakinada 2006 (July 2006) / 1312 pages MHID: / MHID: X McGraw-Hill India Title This comprehensive text on Higher Engineering Mathematics covers the syllabus of all the Mathematics papers offered to the undergraduate students. The huge chest of solved examples help the students learn about a variety of problems & the procedure to solve them. Additional practice problems/exercises facilitate testing their understanding of the subject. CONTENTS Part A: Preliminaries Chapter 1. Vector Algebra, Theory of Equations, Complex Numbers Part B: Differential and Integral Calculus Chapter 2. Differential Calculus Chapter 3. Partial Differentiation Chapter 4. Maxima and Minima Chapter 5. Curve Tracing Chapter 6. Integral Calculus: Applications Chapter 7. Multiple Integrals Part C: Ordinary Differential Equations Chapter 8. Ordinary Differential Equations: First Order with Applications Chapter 9. Ordinary Differential Equations: Second and higher orders with Applications Chapter 10. Series Solutions Chapter 11. Special Functions Chapter 12. Laplace Transform Part D: Linear Algebra and Vector Calculus Chapter 13. Matrices Chapter 14. Eigen Values and Eigen Vectors Chapter 15. Vector Differential Calculus Chapter 16. Vector Integral Calculus Part E: Fourier Analysis and Partial Differential Equations Chapter 17. Fourier Series Chapter 18. Partial Differential Equations Chapter 19. Applications of PDE Chapter 20. Fourier Integral and Fourier Transform Chapter 21. FINITE DIFFERENCES and Z-TRANSFORMS Part F: Complex Analysis Chapter 22. Complex Functions Chapter 23. Complex Integration Chapter 24. Theory of Residues 94

98 HIGHER MATHEMATICS Chapter 25. Conformal Mapping Part G: Probability and Statistics Chapter 26. Probability Theory Chapter 27. Probability Distributions Chapter 28. Sampling Distributions (SD) Chapter 29. Inferences concerning means and proportions Chapter 30. Line & Curve Fitting, Correlation and Regression Chapter 31. Joint Probability Distribution and Markov Chains Part H: Numerical Analysis Chapter 32. Numerical Analysis Chapter 33. Numerical Solutions of ODE and PDE Appendices A1: Basic Results A2: Statistical Tables A3: Bibliography A4: Index International Edition Schaum s Outline of Advanced Mathematics for Engineers and Scientists, SI Metric By Murray R Spiegel, Rensselaer Polytechnic Institute 1971 / 416 pages ISBN-13: / MHID: (Non SI Metric) ISBN-13: / MHID: [IE, SI Metric] A Schaum s Publication (International Edition is not for sale in Japan.) CONTENTS Review of Fundamental Concepts Ordinary Differential Equations Linear Differential Equations Laplace Transforms Vector Analysis Multiple, Line, and Surface Integrals and Integral Theorems Fourier Series Fourier Integrals Gamma, Beta, and Other Special Functions Bessel Functions Lengendre Functions and Other Orthogonal Functions of Partial Differential Equations Complex Variables and Conformal Mapping Complex Inversion Formula for Laplace Transforms Matrices Calculus of Variations Dynamical System International Edition Schaum s Outline of Vector Analysis By Murray R Spiegel, deceased 1968 / 240 pages ISBN-13: / MHID: X ISBN-13: / MHID: [IE] A Schaum s Publication (International Edition is not for sale in Japan.) CONTENTS Vectors and Scalars The Dot and Cross Product Vector Differentiation Gradient, Divergence and Curl Vector Integration The Divergence Theorem, Stokes s Theorem, and Related Integral Theorems Curvilinear Coordinates Tensor Analysis Graph Theory International Edition INTRODUCTION TO GRAPH THEORY By Gary Chartrand, Western Michigan University Kalamazoo and Ping Zhang, Western Michigan University Kalamazoo 2005 (May 2004) / 464 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] 1. Introduction: Graphs and Graph Models. Connected Graphs. Common Classes of Graphs. 2. Degrees: The Degree of a Vertex. Regular Graphs. Degree Sequences. Excursion: Graphs and Matrices. Exploration: Irregular Graphs. 3. Isomorphic Graphs: The Definition of Isomorphisms. Isomorphism as a Relation. Excursion: Recognition, Reconstruction, Solvability. Excursion: Graphs and Groups. 4. Trees: Bridges. Trees. The Minimum Spanning Tree Problem. Excursion: The Number of Spanning Trees. Exploration: Comparing Trees. 5. Connectivity: Cut-Vertices. Blocks. Connectivity. Menger s Theorem. Exploration: Geodetic Sets. 6. Traversability: Eulerian Graphs. Hamiltonian Graphs. Exploration: Hamiltonian Walks and Numbers. Excursion: The Early Books of Graph Theory. 7. Digraphs: Strong Digraphs. Tournaments. Excursion: How to Make Decisions. Exploration: Wine Bottle Problems. 8. Matchings and Factorization: Matchings. Factorizations. Decompositions and Graceful Labelings. 95

99 HIGHER MATHEMATICS Excursion: Instant Insanity. Excursion: The Petersen Graph. Exploration: -Labeling of Graphs. 9. Planarity: Planar Graphs. Embedding Graphs on Surfaces. Excursion: Graphs Minors. Exploration: Embedding Graphs in Graphs. 10. Coloring Graphs: The Four Color Problem. Vertex Coloring. Edge Coloring. Excursion: The Heawood Map-Coloring Theorem. Exploration: Local Coloring. 11. Ramsey Numbers: The Ramsey Number of Graphs. Turan s Theorem. Exploration: Rainbow Ramsey Numbers. Excursion: Erd?umbers. 12. Distance: The Center of a Graph. Distant Vertices. Excursion: Locating Numbers. Excursion: Detour Distance and Directed Distance. Exploration: The Channel Assignment Problem. Exploration: Distance Between Graphs. 13. Domination: The Domination Number of a Graph. Exploration: Stratification. Exploration: Lights Out. Excursion: And Still It Grows More Colorful. Appendix 1. Sets and Logic. Appendix 2. Equivalence Relations and Functions. Appendix 3. Methods of Proof. Answers and Hints to Odd-Numbered Exercises. References. Index of Symbols. Index of Mathematical Terms International Edition Applied and Algorithmic Graph Theory By Gary Chartrand, Western Michigan University, and Ortrud Oellermann, University of Natal, South Africa 1993 / 432 pages ISBN-13: / MHID: (Out-of-Print) ISBN-13: / MHID: [IE] 1 An Introduction to Graphs 2 An Introduction to Algorithms 3 Trees 4 Paths and Distance and Graphs 5 Networks 6 Matchings and Factorizations 7 Eulerian Graphs 8 Hamiltonian Graphs 9 Planar Graphs 10 Coloring Graphs 11 Digigraphs 12 Extremal Graph Theory SCHAUM S OUTLINE OF GRAPH THEORY: Including Hundreds of Solved Problems By V K Balakrishnan, University of Maine 1997 / 288 pages ISBN-13: / MHID: A Schaum s Publication Graphs and Digraphs. Connectivity. Eulerian and Hamiltonian Graphs. Optimization Involving Trees. Shortest Path Problems. Flow and Connectivity. Planarity and Duality. Graph Colorings. Additional Topics. List of Technical Terms and Symbols Used. Schaum s Outline of Combinatorics By V K Balakrishnan, University of Maine 1995 / 320 pages ISBN-13: / MHID: X A Schaum s Publication CONTENTS The Sum Rule and the Product Rule. Permutations and Combinations. The Pigeonhole Principle. Generalized Permutations and Combinations. Sequences and Selections. The Inclusion-Exclusion Principle. Generating Functions and Partitions of Integers. The Distribution Problem in Combinatorics. Recurrence Relations. Group Theory in Combinatorics--Including The Burnside-Froberius Theorem. Permutation Groups and Their Cycles Indices and Polya s Enumeration Theorems. INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: 96

100 HIGHER MATHEMATICS Introductory Analysis International Edition Introduction to Mathematical Analysis By William Parzynski, Philip Zipse both of Montclair State College 1982 / 352 pages ISBN-13: / MHID: (Out-of-Print) ISBN-13: / MHID: [IE] CONTENTS 1 Real Numbers and Functions 2 Sequences and Sets of Real Numbers 3 Functions and Limits 4 Continuous Functions 5 Differentiable Functions 6 The Riemann Integral 7 Sequences and Series of Functions 8 Differentiable Functions of Several Variables 9 Multiple Integrals 10 Metric Spaces Solutions and Hints to Selected Exercises Index International Edition Principles of Mathematical Analysis Third Edition By Walter Rudin, University of Wisconsin-Madison 1976 / 325 pages ISBN-13: / MHID: X ISBN-13: / MHID: [IE] CHAPTER 1: The Real Numbers: Section 1.1 Sets. Section 1.2 Functions. Section 1.3 Algebraic and order properties. Section 1.4 The positive integers. Section 1.5 The least upper bound axiom. Chapter 2: Sequences: Section 2.1 Sequences and limits. Section 2.2 Limit theorems. Section 2.3 Monotonic sequences. Section 2.4 Sequences defined inductively. Section 2.5 Sequences, Cauchy sequences. Section 2.6 Infinite limits. Chapter 3: Functions and Continuity: Section 3.1 Limit of a function. Section 3.2 Limit theorems. Section 3.3 Other limits. Section 3.4 Continuity. Section 3.5 Intermediate values, extreme values. Section 3.6 Uniform continuity. Chapter 4: The Derivative: Section 4.1 Definition of the derivative. Section 4.2 Rules for differentiation. Section 4.3 The Mean Value Theorem. Section 4.4 Inverse functions. Chapter 5: The Integral: Section 5.1 The definition of the integral. Section 5.2 Properties of the integral. Section 5.3 Existence theory. Section 5.4 The Fundamental Theorem of Calculus. Section 5.5 Improper integrals. Chapter 6: Infinite Series: Section 6.1 Basic theory. Section 6.2 Absolute convergence. Section 6.3 Power series. Section 6.4 Taylor series. Chapter 7: Sequences and Series of Functions: Section 7.1 Uniform convergence. Section 7.2 Consequences of uniform convergence. Section 7.3 Two examples. Solutions and Hints for Selected Problems. Index History Of Mathematics International Edition THE HISTORY OF MATHEMATICS An Introduction Sixth Edition By David M. Burton, University Of New Hampshire 2007 (November 2005) / 752 pages / Hardcover ISBN-13: / MHID: ISBN-13: / MHID: [IE] The History of Mathematics: An Introduction, Sixth Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David Burton s imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day. Burton illuminates the people, stories, and social context behind mathematics greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves. Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Sixth Edition a valuable resource that teachers and students will want as part of a permanent library. Preface. 1 Early Number Systems and Symbols 1.1 Primitive Counting. A Sense of Number. Notches as Tally Marks. The Peruvian Quipus: Knots as Numbers. 1.2 Number Recording of the Egyptians and Greeks. The History of Herodotus. Hieroglyphic Representation of Numbers. Egyptian Hieratic Numeration. The Greek Alphabetic Numeral System. 1.3 Number Recording of the Babylonians. Babylonian Cuneiform Script. Deciphering Cuneiform: Grotefend and Rawlinson. The Babylonian Positional Number System. Writing in Ancient China. 2 Mathematics in Early Civilizations 2.1 The Rhind Papyrus. Egyptian Mathematical Papyri. A Key To Deciphering: The Rosetta Stone 2.2 Egyptian Arithmetic. Early Egyptian Multiplication. The Unit Fraction Table. Representing Rational Numbers 2.3 Four Problems from the Rhind Papyrus. The Method of False Position. A Curious Problem. Egyptian Mathematics as Applied Arithmetic. 97

101 HIGHER MATHEMATICS 2.4 Egyptian Geometry. Approximating the Area of a Circle. The Volume of a Truncated Pyramid. Speculations About the Great Pyramid 2.5 Babylonian Mathematics. A Tablet of Reciprocals. The Babylonian Treatment of Quadratic Equations. Two Characteristic Babylonian Problems. 2.6 Plimpton. A Tablet Concerning Number Triples. Babylonian Use of the Pythagorean Theorem. The Cairo Mathematical Papyrus. 3 The Beginnings of Greek Mathematics 3.1 The Geometric Discoveries of Thales. Greece and the Aegean Area. The Dawn of Demonstrative Geometry: Thales of Miletos. Measurements Using Geometry. 3.2 Pythagorean Mathematics. Pythagoras and His Followers. Nichomachus Introductio Arithmeticae. The Theory of Figurative Numbers. Zeno s Paradox 3.3 The Pythagorean Problem. Geometric Proofs of the Pythagorean Theorem. Early Solutions of the Pythagorean Equation. The Crisis of Incommensurable Quantities. Theon s Side and Diagonal Numbers Eudoxus of Cnidos. 3.4 Three Construction Problems of Antiquity. Hippocrates and the Quadrature of the Circle. The Duplication of the Cube. The Trisection of an Angle. 3.5 The Quadratrix of Hippias. Rise of the Sophists. Hippias of Elis. The Grove of Academia: Plato s Academy. 4 The Alexandrian School: Euclid. 4.1 Euclid and the Elements. A Center of Learning: The Museum. Euclid s Life and Writings. 4.2 Euclidean Geometry. Euclid s Foundation for Geometry. Book I of the Elements. Euclid s Proof of the Pythagorean Theorem. Book II on Geometric Algebra. Construction of the Regular Pentagon. 4.3 Euclid s Number Theory. Euclidean Divisibility Properties. The Algorithm of Euclid. The Fundamental Theorem of Arithmetic. An Infinity of Primes. 4.4 Eratosthenes, the Wise Man of Alexandria. The Sieve of Eratosthenes. Measurement of the Earth. The Almagest of Claudius Ptolemy. Ptolemy s Geographical Dictionary. 4.5 Archimedes. The Ancient World s Genius. Estimating the Value of. The Sand-Reckoner Quadrature of a Parabolic Segment. Apollonius of Perga: the Conics. 5 The Twilight of Greek Mathematics: Diophantus. 5.1 The Decline of Alexandrian Mathematics. The Waning of the Golden Age. The Spread of Christianity. Constantinople, A Refuge for Greek Learning. 5.2 The Arithmetica. Diophantus s Number Theory. Problems from the Arithmetica. 5.3 Diophantine Equations in Greece, India and China. The Cattle Problem of Archimedes. Early Mathematics in India. The Chinese Hundred Fowls Problem. 5.4 The Later Commentators. The Mathematical Collection of Pappus. Hypatia, the First Woman Mathematician. Roman Mathematics: Boethius and Cassiodorus. 5.5 Mathematics in the Near and Far East. The Algebra of al- Khowârizmî. Abû Kamil and Thâbit ibn Qurra. Omar Khayyam The Astronomers al-tusi and al-karashi. The Ancient Chinese Nine Chapters. Later Chinese Mathematical Works. 6 The First Awakening: Fibonacci. 6.1 The Decline and Revival of Learning. The Carolingian Pre- Renaissance. Transmission of Arabic Learning to the West. The Pioneer Translators: Gerard and Adelard. 6.2 The Liber Abaci and Liber Quadratorum. The Hindu-Arabic Numerals. Libonacci s Liver Quadratorum. The Works of Jordanus de Nemore. 6.3 The Fibonacci Sequence. The Liber Abaci s Rabbit Problem. Some Properties of Fibonacci Numbers. 6.4 Fibonacci and the Pythagorean Problem. Pythagorean Number Triples. Fibonacci s Tournament Problem. 7 The Renaissance of Mathematics: Cardan and Tartaglia. 7.1 Europe in the Fourteenth and Fifteenth Centuries. The Italian Renaissance. Artificial Writing: The Invention of Printing. Founding of the Great Universities A Thirst for Classical Learning. 7.2 The Battle of the Scholars. Restoring the Algebraic Tradition: Robert Recorde. The Italian Algebraists: Pacioli, del Ferro and Tartaglia. Cardan, A Scoundrel Mathematician 7.3 Cardan s Ars Magna. Cardan s Solution of the Cubic Equation. Bombelli and Imaginary Roots of the Cubic. 7.4 Ferrari s Solution of the Quartic Equation. The Resolvant Cubic. The Story of the Quintic Equation: Ruffini, Abel and Galois. 8 The Age of Descartes and Newton. 8.1 The Dawn of Modern Mathematics. The 17th Century Spread of Knowledge. Galileo s Telescopic Observations. The Beginning of Modern Notation: Francois Vièta. The Decimal Fractions of Simon Steven. Napier s Invention of Logarithms. The Astronomical Discoveries of Brahe and Kepler. 8.2 Descartes: The Discours de la Méthod. The Writings of Descartes. Inventing Cartesian Geometry. The Algebraic Aspect of La Géometrie. Descartes Principia Philosophia. Perspective Geometry: Desargues and Poncelet. 8.3 Newton: The Principia Mathematica. The Textbooks of Oughtred and Harriot. Wallis Arithmetica Infinitorum. The Lucasian Professorship: Barrow and Newton. Newton s Golden Years. The Laws of Motion. Later Years: Appointment to the Mint. 8.4 Gottfried Leibniz: The Calculus Controversy. The Early Work of Leibniz. Leibniz s Creation of the Calculus. Newton s Fluxional Calculus. The Dispute over Priority. Maria Agnesi and Emilie du Châtelet. 9 The Development of Probability Theory: Pascal, Bernoulli, and Laplace. 9.1 The Origins of Probability Theory. Graunt s Bills of Mortality. James of Chance: Dice and Cards. The Precocity of the Young Pascal. Pascal and the Cycloid. De Méré s Problem of Points. 9.2 Pascal s Arithmetic Triangle. The Traité du Triangle Arithmétique. Mathematical Induction. Francesco Maurolico s Use of Induction. 9.3 The Bernoullis and Laplace. Christiaan Huygens s Pamphlet on Probability. The Bernoulli Brothers: John and James. De Moivre s Doctrine of Chances The Mathematics of Celestial Phenomena: Laplace. Mary Fairfax Somerville. Laplace s Research on Probability Theory. Daniel Bernoulli, Poisson and Chebyshev. 10 The Revival of Number Theory: Fermat, Euler, and Gauss Martin Mersenne and the Search for Perfect Numbers. Scientific Societies Marin Mersenne s Mathematical Gathering. Numbers, Perfect and Not So Perfect From Fermat to Euler. Fermat s Arithmetica. The Famous Last Theorem of Fermat. The Eighteenth Century Enlightenment Maclaurin s Treatise on Fluxions. Euler s Life and Contributions The Prince of Mathematicians: Carl Friedrich Gauss. The Period of the French Revolution: Lagrange and Monge. Gauss s Disquisitiones Arithmeticae. The Legacy of Gauss: Congruence Theory. Dirichlet and Jacobi. 11 Nineteenth-Century Contributions: Lobachevsky to Hilbert Attempts to Prove the Parallel Postulate. The Efforts of Proclus, Playfair and Wallis. Saccheri Quadrilaterals. The Accomplishments of Legendre. Legendre s Eléments de géometrie The Founders of Non-Euclidean Geometry. Gauss s Attempt at a New Geometry. The Struggle of John Bolyai. Creation of Non- Euclidean Geometry: Lobachevsky. Models of the New Geometry: Riemann, Beltrami and Klein. Grace Chisholm Young 11.3 The Age of Rigor. D Alembert and Cauchy on Limits. Fourier s Series. The Father of Modern Analysis, Weierstrass. Sonya Kovalevsky. The Axiomatic Movement: Pasch and Hilbert 11.4 Arithmetic Generalized. Babbage and the Analytical Engine. Peacock s Treatise on Algebra. The Representations of Complex Numbers. Hamilton s Discovery of Quaternions. Matrix Algebra: Cayley and Sylvester. Boole s Algebra of Logic 12 Transition to the Twenthieth Century 12.1 The Emergence of American Mathematics. Ascendency of the German Universities. American Mathematics Takes Root: The Twentieth Century Consolidation 12.2 Counting the Infinite. The Last Universalist: Poincaré. Cantor s Theory of Infinite Sets. Kronecker s View of Set Theory. Countable and Uncountable Sets. Transcendental Numbers. The Continuum Hypothesis 98

102 HIGHER MATHEMATICS 12.3 The Paradoxes of Set Theory. The Early Paradoxes. Zermelo and the Axiom of Choice. The Logistic School: Frege, Peano and Russell. Hilbert s Formalistic Approach: Brouwer s Intuitionism. 13 Extensions and Generalizations: Hardy, Hausdorff, and Noether Hardy and Ramanujan. The Tripos Examination. The Rejuvenation of English Mathematics. A Unique Collaboration: Hardy and Littlewood. India s Prodigy, Ramanujan 13.2 The Beginnings of Point-Set Topology. Frechet s Metric Spaces. The Neighborhood Spaces of Hausdorff. Banach and Normed Linear Spaces Some Twentieth-Century Developments. Emmy Noether s Theory of Rings. Von Neumann and the Computer. Women in Modern Mathematics. A Few Recent Advances. General Bibliography. Additional Reading. The Greek Alphabet Solutions to Selected Problems. Index Numerical Analysis International Edition Elementary Numerical Analysis An Algorithmic Approach, Third Edition By Samuel D. Conte, Purdue University, Carl de Boor, University of Wisconsin-Madison 1980 / 408 pages ISBN-13: / MHID: (Out-of-Print) ISBN-13: / MHID: [IE] CONTENTS 1 Number Systems and Errors 2 Interpolation by Polynomial 3 The Solution of Nonlinear Equations 4 Matrices and Systems of Linear Equations 5 Systems of Equations and Unconstrained Optimization 6 Approximation 7 Differentiation and Integration 8 The Solution of Differential Equations 9 Boundary Value Problems Appendix: Subroutine Libraries References Index schaum s Outline of Numerical Analysis Second Edition By Francis Scheid, Boston University 1988 / 471 pages ISBN-13: / MHID: A Schaum s Publication What Is Numerical Analysis? The Collocation Polynomial. Finite Differences. Factorial Polynomials. Summation. The Newton Formula. Operators and Collocation Polynomials. Unequally-Spaced Arguments. Splines. Osculating Polynomials. The Taylor Polynomial. Interpolation. Numerical Differentiation. Numerical Integration. Gaussian Integration. Singular Integrals. Sums and Series. Difference Equations. Differential Equations. Differential Problems of Higher Order. Least-Squares Polynomial Approximation. Min-Max Polynomial Approximation. Approximation By Rational Functions. Trigonometric Approximation. Nonlinear Algebra. Linear Systems. Linear Programming. Overdetermined Systems. Boundary Value Problems. Monte Carlo Methods. INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: 99

103 HIGHER MATHEMATICS Number Theory International Edition ELEMENTARY NUMBER THEORY Sixth Edition By David M. Burton, University Of New Hampshire 2007 (October 2005) / 528 pages / Hardcover ISBN-13: / MHID: ISBN-13: / MHID: [IE] Elementary Number Theory, Sixth Edition, is written for the onesemester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject s evolution from antiquity to recent research. Written in David Burton s engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history. Preface. New To This Edition. 1 Preliminaries 1.1 Mathematical Induction 1.2 The Binomial Theorem 2 Divisibility Theory in the Integers 2.1 Early Number Theory 2.1 The Division Algorithm 2.2 The Greatest Common Divisor 2.3 The Euclidean Algorithm 2.4 The Diophantine Equation ax + by = c 3 Primes and Their Distribution 3.1 The Fundamental Theorem of Arithmetic 3.2 The Sieve of Eratosthenes 3.3 The Goldbach Conjecture 4 The Theory of Congruences 4.1 Carl Friedrich Gauss 4.2 Basic Properties of Congruence 4.3 Binary and Decimal Representations of Integers 4.4 Linear Congruences and the Chinese Remainder Theorem 5 Fermat s Theorem 5.1 Pierre de Fermat 5.2 Fermat s Little Theorem and Pseudoprimes 5.3 Wilson s Theorem 5.4 The Fermat-Kraitchik Factorization Method 6 Number-Theoretic Functions 6.1 The Sum and Number of Divisors 6.2 The Möbius Inversion Formula 6.3 The Greatest Integer Function 6.4 An Application to the Calendar 7 Euler s Generalization of Fermat s Theorem 7.1 Leonhard Euler 7.2 Euler s Phi-Function 7.3 Euler s Theorem 7.4 Some Properties of the Phi-Function. 8 Primitive Roots and Indices 8.1 The Order of an Integer Modulo n 8.2 Primitive Roots for Primes 8.3 Composite Numbers Having Primitive Roots 8.4 The Theory of Indices 9 The Quadratic Reciprocity Law 9.1 Euler s Criterion 9.2 The Legendre Symbol and Its Properties 9.3 Quadratic Reciprocity 9.4 Quadratic Congruences with Composite Moduli 10 Introduction to Cryptography 10.1 From Caesar Cipher to Public Key Cryptography 10.2 The Knapsack Cryptosystem 10.3 An Application of Primitive Roots to Cryptography 11 Numbers of Special Form 11.1 Marin Mersenne 11.2 Perfect Numbers 11.3 Mersenne Primes and Amicable Numbers 11.4 Fermat Numbers 12 Certain Nonlinear Diophantine Equations 12.1 The Equation x2 + y2 = z Fermat s Last Theorem 13 Representation of Integers as Sums of Squares 13.1 Joseph Louis Lagrange 13.2 Sums of Two Squares 13.3 Sums of More than Two Squares 14 Fibonacci Numbers 14.1 Fibonacci 14.2 The Fibonacci Sequence 14.3 Certain Identities Involving Fibonacci Numbers 15 Continued Fractions 15.1 Srinivasa Ramanujan 15.2 Finite Continued Fractions 15.3 Infinite Continued Fractions 15.4 Pell s Equation 16 Some Twentieth-Century Developments Hardy, Dickson, and Erdös 16.2 Primality Testing and Factorization 16.3 An Application to Factoring: Remote Coin Flipping 16.4 The Prime Number Theorem and Zeta Function. Miscellaneous Problems. Appendixes. General References. Suggested Further Reading Tables. Answers to Selected Problems. Index. International Edition Elementary Number Theory Second Edition By Charles Vanden Eynden, Illinois State University 2001 / 288 pages ISBN-13: / MHID: (Out of Print) ISBN-13: / MHID: [IE] 0 What is Number Theory? 1 Divisibility. 2 Prime Numbers. 3 Numerical Functions. 4 The Algebra of Congruence Classes. 5 Congruences of Higher Degree. 6 The Number Theory of the Reals. 7 Diophantine Equations. 100

104 HIGHER MATHEMATICS Abstract Algebra SCHAUM S OUTLINE OF MODERN ABSTRACT ALGEBRA By Frank Ayres (deceased) 1965 / 256 pages ISBN-13: / MHID: A Schaum s Publication Sets. Relations and Operations. The Natural Numbers. The Integers. Some Properties of Integers. The Rational Numbers. The Real Numbers. The Complex Numbers. Groups. Rings. Integral Domains. Division Rings. Fields. Polynomials. Vector Spaces. Matrices. Matrix Polynomials. Linear Algebra. Boolean Algebra. Advanced Geometry SCHAUM S OUTLINE OF DIFFERENTIAL GEOMETRY By Martin M. Lipschutz, Hahnemann Medical College 1969 / 288 pages ISBN-13: / MHID: A Schaum s Publication Vectors. Vector Functions of Real Variable. Concept of Curve. Curvature and Torsion. Theory of Curves. Elementary Topology in Euclidean Spaces. Vector Functions of Vector Variable. Concept of Curve. First and Second Fundamental Forms. Theory of Surfaces. Tensor Analysis. Intrinsic Geometry. Appendix. Existence Theorem for Curves. Existence Theorem for Surfaces. New Complex Analysis International Edition COMPLEX VARIABLES AND APPLICATIONS Eighth Edition By James Ward Brown, University of Michigan- Dearborn and Ruel V Churchill (deceased) 2009 (January 2008) / 504 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] Complex Variables and Applications, 8e will serve, just as the earlier editions did, as a textbook for an introductory course in the theory and application of functions of a complex variable. This new edition preserves the basic content and style of the earlier editions. The text is designed to develop the theory that is prominent in applications of the subject. You will find a special emphasis given to the application of residues and conformal mappings. To accommodate the different calculus backgrounds of students, footnotes are given with references to other texts that contain proofs and discussions of the more delicate results in advanced calculus. Improvements in the text include extended explanations of theorems, greater detail in arguments, and the separation of topics into their own sections. New to this edition Some sections that can be skipped or postponed without disruption are more clearly identified. The statements of Taylor s and Laurent s theorems, for example, now appear in sections that are separate from the sections containing their proofs. The treatment of the extended form of the Cauchy integral formula for derivatives has been completely rewritten, with special attention to its immediate consequences. Other improvements include more details in arguments involving mathematical induction, greater emphasis on rules for using complex exponents, some discussion of residues at infinity, and a clearer exposition of real improper integrals and their Cauchy principal values. Some important material is presented in a more focused way by placing it in separate sections. For instance, the discussion of upper bounds of moduli of contour integrals is now entirely in one section, and there is a separate section devoted to the definition of isolated singular points. A revised Student s Solutions Manual with solutions for a large number of exercises in Chapters 1-7 is available CONTENTS 1 Complex Numbers Sums and Products Basic Algebraic Properties Further Properties Moduli Complex Conjugates Exponential Form Products and Quotients in Exponential Form Roots of Complex Numbers 101

105 HIGHER MATHEMATICS Examples Regions in the Complex Plane 2 Analytic Functions Functions of a Complex Variable Mappings Mappings by the Exponential Function Limits Theorems on Limits Limits Involving the Point at Infinity Continuity Derivatives Differentiation Formulas Cauchy Riemann Equations Sufficient Conditions for Differentiability Polar Coordinates Analytic Functions Examples Harmonic Functions Uniquely Determined Analytic Functions Reflection Principle 3 Elementary Functions The Exponential Function The Logarithmic Function Branches and Derivatives of Logarithms Some Identities Involving Logarithms Complex Exponents Trigonometric Functions Hyperbolic Functions Inverse Trigonometric and Hyperbolic Functions 4 Integrals Derivatives of Functions w(t) Definite Integrals of Functions w(t) Contours Contour Integrals Examples Upper Bounds for Moduli of Contour Integrals Antiderivatives Examples Cauchy Goursat Theorem Proof of the Theorem Simply and Multiply Connected Domains Cauchy Integral Formula Derivatives of Analytic Functions Liouville s Theorem and the Fundamental Theorem of Algebra Maximum Modulus Principle 5 Series Convergence of Sequences Convergence of Series Taylor Series Examples Laurent Series Examples Absolute and Uniform Convergence of Power Series Continuity of Sums of Power Series Integration and Differentiation of Power Series Uniqueness of Series Representations Multiplication and Division of Power Series 6 Residues and Poles Residues Cauchy s Residue Theorem Using a Single Residue The Three Types of Isolated Singular Points Residues at Poles Examples Zeros of Analytic Functions Zeros and Poles Behavior of f Near Isolated Singular Points 7 Applications of Residues Evaluation of Improper Integrals Example Improper Integrals from Fourier Analysis Jordan s Lemma Indented Paths An Indentation Around a Branch Point Integration Along a Branch Cut Definite Integrals Involving Sines and Cosines Argument Principle Rouché s Theorem Inverse Laplace Transforms Examples 8 Mapping by Elementary Functions Linear Transformations The Transformation w = 1/z Mappings by 1/z Linear Fractional Transformations An Implicit Form Mappings of the Upper Half Plane The Transformation w = sin z Mappings by z2 and Branches of z1/2 Square Roots of Polynomials Riemann Surfaces Surfaces for Related Functions 9 Conformal Mapping Preservation of Angles Scale Factors Local Inverses Harmonic Conjugates Transformations of Harmonic Functions Transformations of Boundary Conditions 10 Applications of Conformal Mapping Steady Temperatures Steady Temperatures in a Half Plane A Related Problem Temperatures in a Quadrant Electrostatic Potential Potential in a Cylindrical Space Two-Dimensional Fluid Flow The Stream Function Flows Around a Corner and Around a Cylinder 11 The Schwarz Christoffel Transformation Mapping the Real Axis onto a Polygon Schwarz Christoffel Transformation Triangles and Rectangles Degenerate Polygons Fluid Flow in a Channel Through a Slit Flow in a Channel with an Offset Electrostatic Potential about an Edge of a Conducting Plate 12 Integral Formulas of the Poisson Type Poisson Integral Formula Dirichlet Problem for a Disk Related Boundary Value Problems Schwarz Integral Formula Dirichlet Problem for a Half Plane Neumann Problems Appendixes Bibliography Table of Transformations of Regions Index 102

106 HIGHER MATHEMATICS International Edition Real and Complex Analysis Third Edition By Walter Rudin, University of Wisconsin 1987 / 483 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] Preface. Prologue: The Exponential Function. Chapter 1: Abstract Integration: Set-theoretic notations and terminology. The concept of measurability. Simple functions. Elementary properties of measures. Arithmetic in [0, infinity]. Integration of positive functions. Integration of complex functions. The role played by sets of measure zero. Exercises. Chapter 2: Positive Borel Measures: Vector spaces. Topological preliminaries. The Riesz representation theorem. Regularity properties of Borel measures. Lebesgue measure. Continuity properties of measurable functions. Exercises. Chapter 3: L^p-Spaces: Convex functions and inequalities. The L^p-spaces. Approximation by continuous functions. Exercises. Chapter 4: Elementary Hilbert Space Theory: Inner products and linear functionals. Orthonormal sets. Trigonometric series. Exercises. Chapter 5: Examples of Banach Space Techniques: Banach spaces. Consequences of Baire s theorem. Fourier series of continuous functions. Fourier coefficients of L-functions. The Hahn-Banach theorem. An abstract approach to the Poisson integral. Exercises. Chapter 6: Complex Measures: Total variation. Absolute continuity. Consequences of the Radon- Nikodym theorem. Bounded linear functionals on L^p. The Riesz representation theorem. Exercises. Chapter 7: Differentiation: Derivatives of measures. The fundamental theorem of Calculus. Differentiable transformations. Exercises. Chapter 8: Integration on Product Spaces: Measurability on cartesian products. Product measures. The Fubini theorem. Completion of product measures. Convolutions. Distribution functions. Exercises. Chapter 9: Fourier Transforms: Formal properties. The inversion theorem. The Plancherel theorem. The Banach algebra L. Exercises. Chapter 10: Elementary Properties of Holomorphic Functions: Complex differentiation. Integration over paths. The local Cauchy theorem. The power series representation. The open mapping theorem. The global Cauchy theorem. The calculus of residues. Exercises. Chapter 11: Harmonic Functions: The Cauchy-Riemann equations. The Poisson integral. The mean value property. Boundary behavior of Poisson integrals. Representation theorems. Exercises. Chapter 12: The Maximum Modulus Principle: Introduction. The Schwarz lemma. The Phragmen-Lindel s Method. An interpolation theorem. A converse of the maximum modulus theorem. Exercises. Chapter 13: Approximation by Rational Functions: Preparation. Runge s theorem. The Mittag-Leffler theorem. Simply connected regions. Exercises. Chapter 14: Conformal Mapping: Preservation of angles. Linear fractional transformations. Normal families. The Riemann mapping theorem. The class. Continuity at the boundary. Conformal mapping of an annulus. Exercises. Chapter 15: Zeros of Holomorphic Functions: Infinite Products. The Weierstrass factorization theorem. An interpolation problem. Jensen s formula. Blaschke products. The M zas theorem. Exercises. Chapter 16: Analytic Continuation: Regular points and singular points. Continuation along curves. The monodromy theorem. Construction of a modular function. The Picard theorem. Exercises. Chapter 17: H^p-Spaces: Subharmonic functions. The spaces H^p and N. The theorem of F. and M. Riesz. Factorization theorems. The shift operator. Conjugate functions. Exercises. Chapter 18: Elementary Theory of Banach Algebras: Introduction. The invertible elements. Ideals and homomorphisms. Applications. Exercises. Chapter 19: Holomorphic Fourier Transforms: Introduction. Two theorems of Paley and Wiener. Quasi-analytic classes. The Denjoy-Carleman theorem. Exercises. Chapter 20: Uniform Approximation by Polynomials: Introduction. Some lemmas. Mergelyan s theorem. Exercises. Appendix: Hausdorff s Maximality Theorem. Notes and Comments. Bibliography. List of Special Symbols. Index International Edition Complex Analysis Third Edition By Lars Ahlfors, Harvard University 1979 / 336 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] Chapter 1: Complex Numbers: 1 The Algebra of Complex Numbers. 2 The Geometric Representation of Complex Numbers. Chapter 2: Complex Functions: 1 Introduction to the Concept of Analytic Function. 2 Elementary Theory of Power Series. 3 The Exponential and Trigonometric Functions. Chapter 3: Analytic Functions as Mappings: 1 Elementary Point Set Topology. 2 Conformality. 3 Linear Transformations. 4 Elementary Conformal Mappings. Chapter 4: Complex Integration: 1 Fundamental Theorems. 2 Cauchy s Theorem for a Rectangle. 3 Local Properties of Analytical Functions. 4 The General Form of Cauchy s Theorem. 5 The Calculus of Residues. 6 Harmonic Functions. Chapter 5: Series and Product Developments: 1 Power Series Expansions. 2 Partial Fractions and Factorization. 3 Entire Functions. 4 The Riemann Zeta Function. 5 Normal Families. Chapter 6: Conformal Mapping, Dirichlet s Problem: 1 The Riemann Mapping Theorem. 2 Conformal Mapping of Polygons. 3 A Closer Look at Harmonic Functions. 4 The Dirichlet Problem. 5 Canonical Mappings of Multiply Connected Regions. Chapter 7: Elliptic Functions: 1 Simply Periodic Functions. 2 Doubly Periodic Functions. 3 The Weierstrass Theory. 103

107 HIGHER MATHEMATICS Chapter 8: Global Analytic Functions: 1 Analytic Continuation. 2 Algebraic Functions. 3 Picard s Theorem. 4 Linear Differential Equations. Index International Edition Schaum s Outline of Complex Variables By Murray R Spiegel, formerly of Rensselaer Polytechnic Institute 1968 / 320 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE, SI Metric] (Out of Print) A Schaum s Publication (International Edition is not for sale in Japan.) Complex Numbers. Functions. Limits and Continuity. Complex Differentiation and the Cauchy Riemann Equations. Complex Integration and Cauchy s Theorem. Cauchy s Integral Formulas and Related Theorems. Infinite Series. Taylor s and Laurent Series. The Residue Theorem: Evaluation of Integrals and Series. Conformal Mappings. Physical Applications of Conformal Mapping. Special Topics. Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Topology International Edition TOPOLOGY By Sheldon W Davis, Miami University Oxford 2005 / 448 page ISBN-13: / MHID: ISBN-13: / MHID: [IE] A volume in the Walter Rudin Student Series. 1 Sets, Functions, Notation: Cantor-Bernstein Theorem. Countable Set. 2 Metric Spaces: Topology Generated by a Metric. Complete Metric Space. Cantor Intersection Theorem. Baire Category Theorem. 3 Continuity: Banach Fixed Point Theorem. 4 Topological Spaces: Subspace Topology. Continuous Function. Base. Sorgenfrey Line. Lindel? Theorem. 5 Basic Constructions: Products. Product Topology. 6 Separation Axioms: Hausdorff. Regular Normal. Urysohn s Lemma. Tietze Extension Theorem. 7 Compactness: Heine-Borel Theorem. Tychonoff Theorem. Lebesgue Number. 8 Local Compactness: One-Point Compactification. 9 Connectivity: Intermediate Value Theorem. Connected Subspaces. Products of Connected Spaces. Components. 10 Other Types of Connectivity: Pathwise Connected. Locally Pathwise Connected. Locally Connected. 11 Continua: Irreducible: Cut Point. Moore s Characterization of [0, 1]. 12 Homotopy: Contractible Space. Fundamental Group. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES 104

108 HIGHER MATHEMATICS Schaum s Outline of General Topology By Seymour Lipschutz, Temple University 1986 / 256 pages ISBN-13: / MHID: A Schaum s Publication Sets and Relations. Functions. Cardinality, Order. Topology of the Line and Plane. Topological Spaces. Definitions. Bases and Subbases. Continuity and Topological Equivalence. Metric and Normed Spaces. Countability. Separation Axioms. Compactness. Product Spaces. Connectedness. Complete Metric Spaces. Function Spaces. Appendix. Properties of the Real Numbers. Entering and Plotting a Graph Defined Parametrically Entering and Graphing a Polar Graph 5. Calculus Numerical Derivative Numerical Integral Turning Points Drawing Tangent Lines 6. Matrices The Matrix Menu Operations on Matrices 7. Complex Numbers Selecting the Display Format/Rectangular Complex Mode Polar Complex Mode Entering expressions involving Complex Numbers Finding the Argument and Modulus 8. Vectors Performing Vector Operations Finding the Magnitude of a Vector Finding the Scalar Product Finding the Vector Product 9. Sequences and Series Sequences on the Home Screen Defining Sequences Using the Editor Mathematical References GETTING STARTED WITH THE T1-84 PLUS GRAPHING CALCULATOR By Wee Leng Ng 2006 (October 2005) / 84 pages ISBN-13: / MHID: An Asian Publication With the recent introduction of the TI-84 Plus graphing calculator into the A-level Mathematics curriculum, students can now reduce the time spent on tedious computations. Getting Started with the TI-84 Plus Graphing Calculator is an invaluable guide to the basic skills required to utilize the graphing calculator, and to help students get the most out of their new tool. Filled with comprehensive key press instructions, screen-shots and useful tips at almost every step, students as well as teachers are bound to find this example-based book a rich reference source and a handy companion to their TI-84 Plus. How to use this book 1. Basic Calculations The Keys of the TI84+ Entering and Editing Mathematical Expressions Accessing Menus Basic Numeric Calculations 2. Basic Features of Function Graphing Entering and Graphing Functions Changing the Viewing Window 3. The Equation Solver Solving Equations Without Parameters Solving Equations With Parameters 4. Advanced Graphing Features Defining Functions in Terms of Other Functions Entering and Graphing a Function with Parameters Graphing a Family of Functions Restricting the Domain of a Function Shading Above/Below a Function GREAT JOBS FOR MATH MAJORS Second Edition By Stephen Lambert and Ruth DeCotis 2006 (September 2005) / 208 pages ISBN-13: / MHID: A Professional Publication Answers the question What can I do with a major in math? It isn t always obvious what a math major can offer to the workplace. But it provides you with valuable skills and training that can be applied to a wide range of careers. Great Jobs for Math Majors helps you explore these possibilities. MATH PROOFS DEMYSTIFIED By Stan Gibilisco 2005 / 290 pages / Softcover ISBN-13: / MHID: A Professional Publication Part One: The Rules of Reason. Chapter 1: The Basics of Propositional Logic. Chapter 2: How Sentences are Put Together. Chapter 3: Formalities and Techniques. Chapter 4: Vagaries of Logic. Test: Part One. Part Two: Proofs in Action. Chapter 5: Some Theoretical Geometry. Chapter 6: Sets and Numbers. Chapter 7: A Few Historic Tidbits. Test: Part Two. Final Exam. Answers to Quiz, Test and Exam Questions. Suggested Additional References. Index 105

109 HIGHER MATHEMATICS PRE-CALCULUS DEMYSTIFIED By Rhonda Huettenmueller 2005 / 468 pages / Softcover ISBN-13: / MHID: A Professional Publication Preface Chapter 1: The Slope and Equation of a Line Chapter 2: Introduction to Functions Chapter 3: Functions and Their Graphs Chapter 4: Combinations of Functions and Inverse Functions Chapter 5: Translations and Special Functions Chapter 6: Quadratic Functions Chapter 7: Polynomial Functions Chapter 8: Rational Functions Chapter 9: Exponents and Logarithms Chapter 10: Systems of Equations and Inequalities Chapter 11: Matrices Chapter 12: Conic Sections Chapter 13: Trigonometry Chapter 14: Sequences and Series Appendix. Final Exam DIFFERENTIAL EQUATIONS DEMYSTIFIED By Steven G Krantz, Washington University-St Louis 2005 / 323 pages / Softcover ISBN-13: / MHID: A Professional Publication Preface. Chapter 1: What Is a Differential Equation? Chapter 2: Second-Order Equations Chapter 3: Power Series Solutions and Special Functions Chapter 4: Fourier Series: Basic Concepts Chapter 5: Partial Differential Equations and Boundary Value Problems Chapter 6: Laplace Transforms Chapter 7: Numerical Methods Chapter 8: Systems of First-Order Equations. Final Exam. Solutions to Exercises. Bibliography Index. mcgraw-hill DICTIONARY of Mathematics Second Edition By McGraw-Hill 2003 / 336 pages ISBN-13: / MHID: X A Professional Publication Derived from the content of the respected McGraw-Hill Dictionary of Scientific and Technical Terms Sixth Edition, each title provides thousands of definitions of words and phrases encountered in a specific discipline. All include: Schaum s Easy OutlineS: Mathematical Handbook of Formulas and Tables By Murray R Spiegel, Rensselaer Polytechnic Institute, and John Liu, Temple University 2001 / 144 pages ISBN-13: / MHID: A Schaum s Publication CONTENTS Part 1: Formulas. Section 1: Elementary Constants, Products, Formulas. Section 2: Geometry. Section 3: Elementary Transcendental Functions. Section 4: Calculus. Section 5: Differential Equations. Section 6: Series. Section 7: Vector Analysis. Part 2: Tables. Section 8: Factorial n. Section 9: Conversion of Radians to Degrees, Minutes, and Seconds. Section 10: Conversion of Degrees, Minutes, and Seconds to Radians. Section 11: Sin x. Section 12: Cos x. Section 13: Tan x. Section 14: Natural or Naperian Logarithms log x or In x. Section 15: Exponential Functions e. International Edition Schaum s Outline of Mathematical Handbook of Formulas and Tables Second Edition By Murray R Spiegel, Rensselaer Polytechnic Institute, and John Liu, Temple University 1999 / 278 pages ISBN-13: / MHID: ISBN-13: / MHID: X [IE] A Schaum s Publication (International Edition is not for sale in Japan.) Section I: Elementary Constants, Products, Formulas. Section II: Geometry. Geometric Formulas. Section III: Elementary Transcendental Functions. Section IV: Calculus. Derivatives. Section V: Differential Equations and Vector Analysis. Section VI: Series. Section VII: Special Functions and Polynomials. Section VIII: Laplace and Fourier Transforms. Section IX: Elliptic and Miscellaneous Special Functions. Section X: Inequalities and Infinite Products. Section XI: Probability and Statistics. Section XII: Numerical Methods. Pronunciation guide for every term Acronyms, cross-references, and abbreviations Append-ices with conversion tables; listings of scientific, technical, and mathematical notation; tables of relevant data; and more A convenient, quick-find format 106

110 STATISTICS AND PROBABILITY Advanced Statistics Applied Statistics Engineering Applied Statistics Eduction, Psychology And Soical Science Applied Statistics Science, Health And Biostatistics Business Statistics Statistics And Probability (Calculus) Statistics And Probability (Non-Calculus)

111 NEW TITLES Statistics and Probability 2009 Author ISBN-13 MHID Page Complete Business Statistics With Student CD, 7e Aczel Business Statistics In Practice, 5e Bowerman Elementary Statistics: A Brief Version, 4e Bluman X 109 Essentials Of Business Statistics With Student CD, 2e Bowerman Basic Statistics For Business And Economics With Lind Student CD, 6e Basic Statistics Using Excel To Accompany Statistical Lind Techniques In Business And Economics, 13e Statistical Techniques In Business And Economics, 3e Lind Statistics For Engineers And Scientists, 2e Navidi

112 STATISTICS AND PROBABILITY Statistics And Probability (Non-calculus) New International Edition ELEMENTARY STATISTICS: A BRIEF VERSION Fourth Edition By Allan G Bluman, Community College of Allegheny County-South 2008 (September 2006) / 736 pages ISBN-13: / MHID: X ISBN-13: / MHID: (with Math Zone) ISBN-13: / MHID: (with Data Disk) ISBN-13: / MHID: [IE with formula card and MathZone] Browse Elementary Statistics: A Brief Version, 4th Edition is a shorter version of Allan Bluman s popular text Elementary Statistics: A Step by Step Approach, 6th edition. This softcover edition includes all the features of the longer book, but is designed for a course in which the time available limits the number of topics covered. The book is written for general beginning statistics courses with a basic algebra prerequisite. The book use a non-theoretical approach, explaining concepts intuitively and teaching problem solving through worked examples step-by-step. New to this edition Applying the Concepts--This new feature has been added to each section and gives students an opportunity to think about the concepts and apply them to hypothetical examples and scenarios similar to those found in newspapers, magazines, and news programs. More Examples and Exercises!--Over 200 new exercises have been added, most using real data, and many questions now incorporate thought-provoking questions requiring students to interpret their results. Fresh New Look--The text layout and color palette have been redesigned to help increase the readability and ease of use by students and instructors. The text has been updated throughout with current data and statistics including new Unusual Stats and Interesting Facts; new Speaking of Statistics; new Critical Thinking Challenges; new Statistics Today openers; new worked examples; new Data Analysis Exercises; and new Data Sets. Preface 1: The Nature of Probability and Statistics 1.1 Introduction 1.2 Descriptive and Inferential Statistics 1.3 Variables and Types of Data 1.4 Data Collection and Sampling Techniques 1.5 Observational and Experimental Studies 1.6 Uses and Misuses of Statistics 1.7 Computers and Calculators 1.8 Summary 2: Frequency Distributions and Graphs 2.1 Introduction 2.2 Organizing Data 2.3 Histograms, Frequency Polygons, and Ogives 2.4 Other Types of Graphs 2.5 Paired Data and Scatter Plots Ana 2.6 Summary 3: Data Description 3.1 Introduction 3.2 Measures of Central Tendency 3.3 Measures of Variation 3.4 Measures of Position 3.5 Exploratory Data Analysis 3.6 Summary 4: Probability and Counting Rules 4.1 Introduction 4.2 Sample Spaces and Probability 4.3 The Addition Rules for Probability 4.4 The Multiplication Rules and Conditional Probability 4.5 Counting Rules 4.6 Probability and Counting Rules 4.7 Summary 5: Discrete Probability Distributions 5.1 Introduction 5.2 Probability Distributions 5.3 Mean, Variance, Standard Deviation, and Expectation 5.4 The Binomial Distribution 5.5 Summary 6: The Normal Distribution 6.1 Introduction 6.2 Properties of the Normal Distribution 6.3 The Standard Normal Distribution 6.4 Applications of the Normal Distribution 6.5 The Central Limit Theorem 6.6 The Normal Approximation to the Binomial Distribution 6.7 Summary 7: Confidence Intervals and Sample Size 7.1 Introduction 7.2 Confidence Intervals for the Mean (Sigma Known or n > 30) and Sample Size 7.3 Confidence Intervals for the Mean (Sigma Unknown and n < 30) 7.4 Confidence Intervals and Sample Size for Proportions 7.5 Confidence Intervals for Variances and Standard Deviations 7.6 Summary 8: Hypothesis Testing 8.1 Introduction 8.2 Steps in Hypothesis Testing Traditional Method 8.3 z Test for a Mean 8.4 t Test for a Mean 8.5 z Test for a Proportion 8.6 Chi-Square Test for a Variance or Standard Deviation 8.7 Additional Topics Regarding Hypothesis Testing 8.8 Summary 9: Testing the Difference Between Two Means, Two Variances, and Two Proportions 9.1 Introduction 9.2 Testing the Difference Between Two Means: Large Samples 9.3 Testing the Difference Between Two Variances 9.4 Testing the Difference Between Two Means: Small Independent Samples 9.5 Testing the Difference Between Two Means: Small Dependent Samples 9.6 Testing the Difference Between Two Proportions 9.7 Summary 10: Correlation and Regression 10.1 Introduction 10.2 Correlation 10.3 Regression 109

113 STATISTICS AND PROBABILITY 10.4 Coefficient of Determination and Standard Error of the Estimate 10.5 Summary 11: Chi-Square and Analysis of Variance (ANOVA) 11.1 Introduction 11.2 Test for Goodness of Fit 11.3 Tests Using Contingency Tables 11.4 Analysis of Variance (ANOVA) 11.5 Summary Appendix A: Algebra Review Appendix B-1: Writing the Research Report Appendix B-2: Alternate Approach to the Standard Normal Distribution Appendix C: Tables Appendix D: Data Bank Appendix E: Glossary Appendix F: Bibliography Appendix G: Photo Credits Appendix H: Selected Answers International Edition ELEMENTARY STATISTICS: A Step by Step Approach Sixth Edition By Allan G. Bluman, Community College Of Allegheny County-South 2007 (December 2005) ISBN-13: / MHID: X ISBN-13: / MHID: (with MathZone) ISBN-13: / MHID: [IE with MathZone] ISBN-13: / MHID: [IE without MathZone] Browse ELEMENTARY STATISTICS: A STEP BY STEP APPROACH is for general beginning statistics courses with a basic algebra prerequisite. The book is non-theoretical, explaining concepts intuitively and teaching problem solving through worked examples and step-bystep instructions. This edition places more emphasis on conceptual understanding and understanding results. This edition also features increased emphasis on Excel, MINITAB, and the TI-83 Plus and TI 84-Plus graphing calculators, computing technologies commonly used in such courses. 1 The Nature of Probability and Statistics 1-1 Introduction 1-2 Descriptive and Inferential Statistics 1-3 Variables and Types of Data 1-4 Data Collection and Sampling Techniques 1-5 Observational and Experimental Studies 1-6 Uses and Misuses of Statistics 1-7 Computers and Calculators 1-8 Summary 2 Frequency Distributions and Graphs 2-1 Introduction 2-2 Organizing Data 2-3 Histograms, Frequency Polygons, and Ogives 2-4 Other Types of Graphs 2-5 Summary 3 Data Description 3-1 Introduction 3-2 Measures of Central Tendency 3-3 Measures of Variation 3-4 Measures of Position 3-5 Exploratory Data Analysis 3-6 Summary 4 Probability and Counting Rules 4-1 Introduction 4-2 Sample Spaces and Probability 4-3 The Addition Rules for Probability 4-4 The Multiplication Rules and Conditional Probability 4-5 Counting Rules 4-6 Probability and Counting Rules 4-7 Summary 5 Discrete Probability Distributions 5-1 Introduction 5-2 Probability Distributions 5-3 Mean, Variance, Standarddeviation, and Expectation 5-4 The Binomial Distribution 5-5 Other Types of Distributions (Optional) 5-6 Summary 6 The Normal Distribution 6-1 Introduction 6-2 Properties of the Normal Distribution 6-3 The Standard Normal Distribution 6-4 Applications of the Normal Distribution 6-5 The Central Limit Theorem 6-6 The Normal Approximation to the Binomial Distribution 6-7 Summary 7 Confidence Intervals and Sample Size 7-1 Introduction 7-2 Confidence Intervals for the Mean (s Known or n 30) 7-3 Confidence Intervals for the Mean (s Unknown or n<30) 7-4 Confidence Intervals and Sample Size for Proportions 7-5 Confidence Intervals for Variances and Standard Deviations 7-6 Summary 8 Hypothesis Testing 8-1 Introduction 8-2 Steps in Hypothesis Testing Traditional Method 8-3 z Test for a Mean 8-4 t Test for a Mean 8-5 z Test for a Proportion 8-6 Chi Square test for a Variance or Standard Deviation 8-7 Additional Topics Regarding Hypothesis Testing 8-8 Summary 9 Testing the Difference Between Two Means, Two Variances, and Two Proportions 9-1 Introduction 9-2 Testing the Difference Between Two Means: Large Samples 9-3 Testing the Difference Between Two Variances 9-4 Testing the Difference Between Two Means: Small Independent Samples 9-5 Testing the Difference Between Two Means: Small Dependent Samples 9-6 Testing the Difference Between Proportions 9-7 Summary 10 Correlation and Regression 10-1 Introduction 10-2 Scatter Plots 10-3 Correlation 10-4 Regression 10-5 Coefficient of Determination and Standard Error of the Estimate 10-6 Multiple Regression (Optional) 10-7 Summary 11 Other Chi-Square Tests Introduction 11-2 Test for Goodness of Fit 11-3 Tests Using Contingency Tables 11-4 Summary 12 Analysis of Variance 12-1 Introduction 12-2 One-Way Analysis of Variance 12-3 The Scheffé Test and the Tukey Test 110

114 STATISTICS AND PROBABILITY 12-4 Two-Way Analysis of Variance 12-5 Summary 13 Nonparametric Statistics 13-1 Introduction 13-2 Advantages and Disadvantages of Nonparametric Methods 13-3 The Sign Test 13-4 The Wilcoxon Rank Sum Test 13-5 The Wilcoxon Signed-Rank Test 13-6 The Kruskal-Wallis Test 13-7 The Spearman Rank Correlation Coefficient and the Runs Test 13-8 Summary 14 Sampling and Simulation 14-1 Introduction 14-2 Common Sampling Techniques 14-3 Surveys and Questionnaire Design 14-4 Simulation Techniques 14-5 The Monte Carlo Method 14-6 Summary Appendix A: Algebra Review Appendix B-1: Writing the Research Report. Appendix B-2: Bayes s Theorem. Appendix B-3: Alternate Method for the Standard Normal Distribution. Appendix C: Tables. Appendix D: Data Bank. Appendix E: Glossary. Appendix F: Bibliography. Appendix G: Photo Credits. Appendix H: Selected Answers International Edition READY, SET, GO! A STUDENT GUIDE TO SPSS 13.0 AND 14.0 FOR WINDOWS Second Edition By Thomas Pavkov and Kent Price of Purdue University-Calumet-Hammond 2007 (February 2006) / 96 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] This guide features concise instructions for accessing and using SPSS for Windows. Ready, Set, Go! is more than a reference book for versions 13.0 and 14.0; through ten guided assignments, students learn about statistical analysis of data while also learning the steps in the research process. The students are guided through assignments such as using frequency distributions, performing the t test, using the one-way ANOVA procedure, computing a correlation, and computing chi-square function. Preface / Assignment 1 Learning the Basics of SPSS Assignment 2 Looking at Frequency Distributions and Descriptive Statistics Assignment 3 Presenting Data in Graphic Form Assignment 4 Testing Research Hypotheses for Two Independent Samples Assignment 5 Testing Research Hypotheses About Two Related Sampled Assignment 6 Comparing Independent Samples with One-Way ANOVA Assignment 7 Comparing Related Samples with One-Way ANOVA Assignment 8 Measuring the Simple Relationship Between Two Variables Assignment 9 Describing the Linear Relationship Between Two Variables Assignment 10 Assessing the Association Between Two Categorical Variables Appendix Entering Data Using Programs Other Than SPSS RESEARCH PROJECTS IN STATISTICS By Joseph Kincaid, Blue Cross and Blue Shield of Kansas City 2004 / Softcover / 80 pages ISBN-13: / MHID: Overview: Motivation for the project. Schedule for the project. Group Communication: Purpose of the communication plan. of the communication plan. Project Ideas: Purpose of the list of ideas. Generating research questions. Requirements for the research project. Example of a list of ideas. The Research Proposal: Purpose of the research proposal. of the research proposal. Examples of research proposals. Data Collection: Purpose of the data collection stage. Characteristics of good data: Integrity. Characteristics of good data: Accuracy. Collecting the data. That data collection report. Examples of data collection. Data Analysis: Purpose of the data analysis. Types of data analysis. Preparing the data for analysis. Examples of data analysis. Presenting the Results: The overall presentation. The oral presentation. The written report. Examples of written reports. Comments on Student Examples: Comments on the list of ideas. Comments on the research proposals. Comments on the data collection. Comments on the written reports INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: 111

115 STATISTICS AND PROBABILITY International Edition LECTURES IN ELEMENTARY PROBABILITY THEORY AND STOCHASTIC PROCESSES By Jean-Claude Falmagne 2003 / 288 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] 1 Preliminaries. 2 Sample Space and Events. 3 Probability and Area. 4 Probability Measures. 5 Basic Rules of Probability Calculus. 6 Sampling. 7 Counting Subsets. 8 Discrete Distributions. 9 Conditional Probabilities. 10 Independence and Bayes Theorem. 11 The Principle of Maximum Likelihood. 12 Random Variables. 13 Distribution Functions. 14 Continuous Random Variables. 15 Expectation and Moments. 16 Covariance and Correlation. 17 The Law of Large Numbers. 18 Moment Generating Functions. 19 Multivariate Distributions. 20 Bivariate Normal Distributions. 21 Finite Markov Chains, Basic Concepts. 22 Homogeneous Markov Chains. 23 Random Walks. 24 Poisson Processes. Solutions and Hints for Selected Problems. Glossary of Symbols. Index. Bibliography International Edition Statistics: A First Course Sixth Edition By Donald H. Sanders, Education Consultant and Robert Smidt, California Polytechnic State University - San Luis Obispo 2000 / 736 pages ISBN-13: / MHID: (with CD-ROM) ISBN-13: / MHID: [IE with CD-ROM] Let s Get Started. Looking Ahead.Looking Back Review Exercises Topics For Review And Discussion Projects Issues To Consider Computer Exercises. Descriptive Statistics. Probability Concepts. Probability Distributions. Sampling Concepts. Estimating Parameters. Testing Hypotheses: One Sample Procedures. Inference: Two-Sample Procedures. Analysis of Variance. Chi-Square Tests: Goodness-of-Fit and Contingency Table Methods. Linear Regression and Correlation. Nonparametric Statistical Methods. Appendices. Selected Values of the Binomial Probability Distribution. Areas under the Standard Normal Probability Distribution. A Brief Table of Random Numbers. Areas for t Distributions. F Distribution Tables. Chi-Square Distribution. Critical Values of T for Level of Significance =.05 and Level of Significance =.01 in the Wilcoxon Signed Rank Test. Distribution of U in the Mann-Whitney Test. Critical Values for r in the Runs Test for Randomness. Selected Values of the Poisson Probability Distribution. Entering and Editing Data in Minitab. Answers to Odd-Numbered Exercises. Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES SCHAUM S OUTLINE OF STATISTICS Fourth Edition By Murray Spiegel (deceased) and Larry J Stephens, University of Nebraska, Omaha 2008 (November 2007) / 544 pages ISBN-13: / MHID: A Schaum s Publication The guides that help students study faster, learn better-and get top grades. Updated to match the latest developments in the field of statistics, this new edition includes dozens of new problems showing output from EXCEL, SAS, SPSS, STATISTIX, and MINITAB, all of which are in general use for in college courses on statistics. 112

116 STATISTICS AND PROBABILITY Schaum s Outline of Elements of Statistics II Inferential Statistics By Stephen Bernstein and Ruth Bernstein, University of Colorado 2000 / 480 pages ISBN-13: / MHID: A Schaum s Publication International Edition Schaum s Outline of Probability Second Edition By Seymour Lipschutz, Temple University 2000 / 224 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] A Schaum s Publication (International Edition is not for sale in Japan.) Set Theory. Techniques of Counting. Introduction to Probability. Conditional Probability and Independence. Random Variables. Binomial, Normal and Poisson Distributions. Markov Chains. Appendices: Descriptive Statistics. Chi-Square Distribution. SCHAUM S EASY OUTLINES: Statistics By Murray R Spiegel (Deceased) and David P. Lindstrom 2000 / 138 pages ISBN-13: / MHID: A Schaum s Publication Variables and Graphs. Measures of Central Tendency and Dispersion. Elementary Probability Theory. The Binomial, Normal, and Poisson Distributions. Elementary Sampling Theory. Statistical Estimation Theory. Statistical Decision Theory. Small Sampling Theory. The Chi-Square Test. Curve Fitting and the Method of Least Squares. Correlation Theory. Multiple and Partial Correlation. Analysis of Variance. Nonparametric Tests. Appendices: A: Areas Under the Standard Normal Curve. B: Student s t Distribution. C: Chi-Square Distribution. D: 99th Percentile Values for the F Distribution Schaum s Outline of Elements of Statistics I Differential Statistics and Probability By Stephen Bernstein and Ruth Bernstein, University of Colorado 1999 / 368 pages ISBN-13: / MHID: A Schaum s Publication Mathematics Required for Statistics. Characteristics of the Data. Populations, Samples, and Statistics. Descriptive Statistics: Organizing the Data Into Tables. Descriptive Statistics: Graphing the Data. Descriptive Statistics: Measures of Central Tendency, Average Value, and Location. Descriptive Statistics: Measures of Dispersion. Probability: The Classical, Relative Frequency, Set Theory, and Subjective Interpretations. Probability: Rules for Multiplication and Division, Marginal Probabilities and Bayes Theorem, Tree Diagrams and Counting Rules. Random Variables, Probability Distributions, Cumulative Distribution Functions, and Expected Values. Schaum s Outline of Introduction to Probability and Statistics By Seymour Lipschutz and Jack Schiller, Temple University 1998 / 384 pages ISBN-13: / MHID: A Schaum s Publication Part I: Descriptive Statistics and Probability. Preliminary: Descriptive Statistics. Sets and Counting. Basic Probability. Conditional Probability and Independence. Random Variables. Binomial and Normal Distributions. Part II: Inferential Statistics. Sampling Distributions. Confidence Intervals for A Single Population. Hypotheses Tests for A Single Population. Inference for Two Populations. Chi-Square Tests and Analysis of Variance. 113

117 STATISTICS AND PROBABILITY International Edition Schaum s Outline of Set Theory and Related Topics Second Edition By Seymour Lipschutz, Temple University 1998 / 200 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] A Schaum s Publication (International Edition is not for sale in Japan.) Sets and Subsets. Basic Set Operators. Sets of Numbers. Functions. Product Sets and Graphs of Functions. Relations. Further Theory of Sets. Further Theory of Functions, Operations. Cardinal Numbers. Partially and Totally Ordered Sets. Well-Ordered Sets/Ordinal Numbers. Axiom of Choice. Paradoxes in Set Theory. Algebra of Propositions. Quantifiers. Boolean Algebra. Logical Reasoning. Statistics And Probability (Calculus) International Edition INTRODUCTION TO PROBABILITY AND STATISTICS: Principles and Applications for Engineering and the Computing Sciences Fourth Edition By J Susan Milton, Emeritus, Radford University and Jesse C Arnold, Virginia Polytechnic Institute 2003 / 816 pages ISBN-13: / MHID: X ISBN-13: / MHID: [IE, 2-colour Text] ISBN-13: / MHID: [IE] 1 Introduction to Probability and Counting: Interpreting Probabilities. Sample Spaces and Events. Permutations and Combinations. 2 Some Probability Laws. Axioms of Probability. Conditional Probability. Independence and the Multiplication Rule. Bayes Theorem. 3 Discrete Distributions. Random Variables. Discrete Probablility Densities. Expectation and Distribution Parameters. Geometric Distribution and the Moment Generating Function. Binomial Distribution. Negative Binomial Distribution. Hypergeometric Distribution. Poisson Distribution. 4 Continuous Distributions. Continuous Densities. Expectation and Distribution Parameters. Gamma Distribution. Normal Distri-bution. Normal Probability Rule and Chebyshev s Inequality. Normal Approximation to the Binomial Distribution. Weibull Distribution and Reliability. Transformation of Variables. Simulating a Continuous Distribution. 5 Joint Distributions. Joint Densities and Independence. Expectation and Covariance. Correlation. Conditional Densities and Regression. Transformation of Variables. 6 Descriptive Statistics. Random Sampling. Picturing the Distribution. Sample Statistics. Boxplots. 7 Estimation. Point Estimation. The Method of Moments and Maximum Likelihood. Functions of Random Variables - Distribution of X. Interval Estimation and the Central Limit Theorem. 8 Inferences on the Mean and Variance of a Distribution. Interval Estimation of Variability. Estimating the Mean and the Student-t Distribution. Hypothesis Testing. Significance Testing. Hypothesis and Significance Tests on the Mean. Hypothesis Tests. Alternative Nonparametric Methods. 9 Inferences on Proportions. Estimating Proportions. Testing Hypothesis on a Proportion. Comparing Two Proportions: Estimation. Coparing Two Proportions: Hypothesis Testing. 10 Comparing Two Means and Two Variances. Point Estimation. Comparing Variances: The F Distribution. Comparing Means: Variances Equal (Pooled Test). Comparing Means: Variances Unequal. Compairing Means: Paried Data. Alternative Nonparametric Methods. A Note on Technology. 11 Sample Linear Regression and Correlation. Model and Parameter Estimation. Properties of Least-Squares Estimators. Confidence Interval Estimation and Hypothesis Testing. Repeated Measurements and Lack of Fit. Residual Analysis. Correlation. 12 Multiple Linear Regression Models. Least-Squares Procedures for Model Fitting. A Matrix Approach to Least Squares. Properties of the Least-Squares Estimators. Interval Estimation. Testing Hypotheses about Model Parameters. Use of Indicator or Dummy Variables. 114

118 STATISTICS AND PROBABILITY Criteria for Variable Selection. Model Transformation and Concluding Remarks. 13 Analysis of Variance. One-Way Classification Fixed-Effects Model. Comparing Variances. Pairwise Comparison. Testing Contrasts. Randomized Complete Block Design. Latin Squares. Random-Effects Models. Design Models in Matrix Form. Alternative Nonparametric Methods. 14 Factorial Experiments. Two-Factor Analysis of Variance. Extension to Three Factors. Random and Mixed Model Factorial Experiments. 2^k Factorial Experiments. 2^k Factorial Experiments in an Incomplete Block Design. Fractional Factorial Experiments. 15 Categorical Data. Multinomial Distribution. Chi-Squared Goodness of Fit Tests. Testing for Independence. Comparing Proportions. 16 Statistical Quality Control. Properties of Control Charts. Shewart Control Charts for Measurements. Shewart Control Charts for Attributes. Tolerance Limits. Acceptance Sampling. Two-Stage Acceptance Sampling. Extensions in Quality Control. Appendix A Statistical Tables. Appendix B Answers to Selected Problems. Appendix C Selected Derivations SCHAUM S OUTLINE OF PROBABILITY AND STATISTICS Third Edition By John J Schiller, R Alu Srinivasan, Temple University 2009 (July 2008) / 399 pages ISBN-13: / MHID: A Schaum s Publication A classic Schaum s bestseller, thoroughly updated to match the latest course scope and sequence. The ideal review for the hundreds of thousands of college and high school students who enroll in probability and statistics courses. CONTENTS Part I: Probability 1. Basic Probability 2. Random Variables and Probability Distributions 3. Mathematical Expectation 4. Special Probability Distributions Part II: Statistics 5. Sampling Theory 6. Estimation Theory 7. Tests of Hypotheses and Significance 8. Curve Fitting, Regression, and Correlation 9. Analysis of Variance 10. Nonparametric Tests Applied Statistics Science, Health And Biostatistics International Edition Introduction to the Theory of Statistics Third Edition By Alexander M. Mood, University of California, Irvine Franklin A. Graybill, Duane C. Boes, both of Colorado State University 1974 / 480 pages ISBN-13: / MHID: (Out-of-Print) ISBN-13: / MHID: [IE] International Edition INTRODUCTION TO BIOSTATISTICS By Thomas Glover, Hobart & Wm Smith College and Kevin Mitchell, Hobart & Wm Smith College 2002 / 432 pages ISBN-13: / MHID: (Out of Print) ISBN-13: / MHID: [IE] 1 Introduction to Data Analysis. 2 Introduction to Probability. 3 Probability Distributions. 4 Sampling Distributions. 5 Introduction to Hypothesis Testing. 6 One-Sample Tests of Hypothesis. 7 Tests of Hypothesis Involving Two Samples. 8 k-sample Tests of Hypothesis: The Analysis of Variance. 9 Two-Factor Analysis. 10 Linear Regression and Correlation. 11 Goodness of Fit Tests for Categorical Data. Appendixes: A Proofs of Selected Results. B Answers to Even-Numbered Problems. C Tables of Distributions and Critical Values 115

119 STATISTICS AND PROBABILITY STATISTICS FOR THE UTTERLY CONFUSED Second Edition By Lloyd R. Jaisingh 2006 / 352 pages / Softcover ISBN-13: / MHID: A Professional Publication When it comes to understanding statistics, even good students can be confused. Perfect for students in any introductory non-calculus-based statistics course, and equally useful to professionals working in the world, Statistics for the Utterly Confused is your ticket to success. Statistical concepts are explained step-by-step and applied to such diverse fields as business, economics, finance, and more. The message of Statistics for the Utterly Confused is simple: you don t have to be confused anymore. Updated and expanded to give you the latest changes in the field, this up-to-the-minute edition includes many new examples of Excel output, the most widely used of all statistics programs; a new chapter on Analysis of Variance (ANOVA); and 200 additions to the 700 self-testing questions and answers. The expert author s Web site also gives you tons of fresh examples, practice problems, and strategies--so you can go from utterly confused to totally prepared in no time! Inside, you ll discover how to: Grasp the meaning of everyday statistical concepts Find out what s probable and what isn t Read, understand, and solve statistics problems Improve your scores on exams Use your skills in any field Applied Statistics Eduction, Psychology and Soical Science SPSS SURVIVAL MANUAL Third Edition By Julie Pallant, University of Melbourn 2007 (August 2007) / 352 pages ISBN-13: / MHID: Open University Press Titles In this fully revised edition of her bestselling text, Julie Pallant guides you through the entire research process, helping you choose the right data analysis technique for your project. From the formulation of research questions, to the design of the study and analysis of data, to reporting the results, Julie discusses basic and advanced statistical techniques. She outlines each technique clearly, with step-by-step procedures for performing the analysis, a detailed guide to interpreting SPSS output and an example of how to present the results in a report. For both beginners and experienced SPSS users in psychology, sociology, health sciences, medicine, education, business and related disciplines, the SPSS Survival Manual is an essential guide. Illustrated with screen grabs, examples of output and tips, it is supported by a website with sample data and guidelines on report writing. In this third edition all chapters have been updated to accommodate changes to SPSS procedures, screens and output in version 15. A new flowchart is included for SPSS procedures, and factor analysis procedures have been streamlined. It also includes more examples and material on syntax. Additional data files are available on the books s supporting website. INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: Preface Data files and website Introduction & overview Part One: Getting Started Designing a study Preparing a codebook Getting to know SPSS Part Two: Preparing The Data File Creating a data file and entering data Screening and cleaning the data Part Three: Preliminary Analyses Descriptive statistics Using graphs to describe and explore the data Manipulating the data Checking the reliability of a scale Choosing the right statistic Part Four: Statistical Techniques To Explore Relationships Among Variables Correlation Partial correlation Multiple regression Logistic regression Factor analysis Part Five: Statistical Techniques To Compare Groups Non-parametric statistics T-tests One-way analysis of variance Two-way between-groups ANOVA Mixed between-within subjects analysis of variance Multivariate analysis of variance Analysis of covariance Appendix: Details of data files Recommended reading References Index 116

120 STATISTICS AND PROBABILITY New Applied Statistics Engineering International Edition STATISTICS FOR ENGINEERS AND SCIENTISTS Second Edition Over 180 new homework problems have been added throughout. 1 Sampling and Descriptive Statistics 2 Probability 3 Propagation of Error 4 Commonly Used Distributions 5 Confidence Intervals 6 Hypothesis Testing 7 Correlation and Simple Linear Regression 8 Multiple Regression 9 Factorial Experiments 10 Statistical Quality Control A Tables B Partial Derivatives C Suggestions for Further Reading Answers to Selected Exercises Index By William Navidi, Colorado School of Mines 2008 (Janurary 2007) / 675 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] Browse The second edition of this book is intended to extend the strengths of the first. Some of the changes are: More than 200 new exercises have been added. A new section on point estimation has been added to Chapter 4. The material on histograms in Chapter 1 has been completely revised. Chapter 2 now contains a discussion of Chebyshev s inequality. Chapter 4 now contains a discussion of the uniform distribution. The section on the normal distribution contains a discussion on linear functions of normal random variables. Chapter 7 contains additional material on the correlation coefficient. Chapter 10 contains a discussion of the relationship between control charts and hypothesis tests. The exposition has been improved in a number of places. Also new for this edition is the ARIS online course management system. ARIS provides automatic grading of student assignments and keeps a record of students grades. In addition, ARIS contains problems for student practice, along with Java applets that allow students to interactively explore ideas in the text. Customizable PowerPoint lecture notes for each chapter are available as well, along with suggested syllabi, and other features. More information can be found at aris.mhhe.com. About the Author William Navidi is Professor of Mathematical and Computer Sciences at the Colorado School of Mines. He received the B.A. degree in mathematics from New College, the M.A. in mathematics from Michigan State University, and the Ph.D. in statistics from the University of California at Berkeley. Professor Navidi has authored more than 50 research papers both in statistical theory and in a wide variety of applications includingcomputer networks, epidemiology, molecular biology, chemical engineering, and geophysics. New to this edition McGraw-Hill s ARIS online Homework Manager has been added to this edition and features algorithmic problems and gradebook capability. Instructors will have access to data sets, solutions, lecture powerpoints, and images from the text. International Edition INTRODUCTION TO PROBABILITY AND STATISTICS Principles and Applications for Engineering and the Computing Sciences, Fourth Edition By J Susan Milton, Emeritus, Radford University and Jesse C Arnold, Virginia Polytechnic Institute 2003 / 816 pages ISBN-13: / MHID: X ISBN-13: / MHID: [IE, 2-colour Text] ISBN-13: / MHID: [IE] 1 Introduction to Probability and Counting: Interpreting Probabilities. Sample Spaces and Events. Permutations and Combinations. 2 Some Probability Laws. Axioms of Probability. Conditional Probability. Independence and the Multiplication Rule. Bayes Theorem. 3 Discrete Distributions. Random Variables. Discrete Probablility Densities. Expectation and Distribution Parameters. Geometric Distribution and the Moment Generating Function. Binomial Distribution. Negative Binomial Distribution. Hypergeometric Distribution. Poisson Distribution. 4 Continuous Distributions. Con-tinuous Densities. Expectation and Distribution Parameters. Gamma Distribution. Normal Distri-bution. Normal Probability Rule and Chebyshev s Inequality. Normal Approximation to the Binomial Distribution. Weibull Distribution and Reliability. Transformation of Variables. Simulating a Continuous Distribution. 5 Joint Distributions. Joint Densities and Independence. 117

121 STATISTICS AND PROBABILITY Expectation and Covariance. Correlation. Conditional Densities and Regression. Transformation of Variables. 6 Descriptive Statistics. Random Sampling. Picturing the Distribution. Sample Statistics. Boxplots. 7 Estimation. Point Estimation. The Method of Moments and Maximum Likelihood. Functions of Random Variables - Distribution of X. Interval Estimation and the Central Limit Theorem. 8 Inferences on the Mean and Variance of a Distribution. Interval Estimation of Variability. Estimating the Mean and the Student-t Distribution. Hypothesis Testing. Significance Testing. Hypothesis and Significance Tests on the Mean. Hypothesis Tests. Alternative Nonparametric Methods. 9 Inferences on Proportions. Estimating Proportions. Testing Hypothesis on a Proportion. Comparing Two Proportions: Estimation. Coparing Two Proportions: Hypothesis Testing. 10 Comparing Two Means and Two Variances. Point Estimation. Comparing Variances: The F Distribution. Comparing Means: Variances Equal (Pooled Test). Comparing Means: Variances Unequal. Compairing Means: Paried Data. Alternative Nonparametric Methods. A Note on Technology. 11 Sample Linear Regression and Correlation. Model and Parameter Estimation. Properties of Least-Squares Estimators. Confidence Interval Estimation and Hypothesis Testing. Repeated Measurements and Lack of Fit. Residual Analysis. Correlation. 12 Multiple Linear Regression Models. Least-Squares Procedures for Model Fitting. A Matrix Approach to Least Squares. Properties of the Least-Squares Estimators. Interval Estimation. Testing Hypotheses about Model Parameters. Use of Indicator or Dummy Variables. Criteria for Variable Selection. Model Transformation and Concluding Remarks. 13 Analysis of Variance. One-Way Classification Fixed-Effects Model. Comparing Variances. Pairwise Comparison. Testing Contrasts. Randomized Complete Block Design. Latin Squares. Random-Effects Models. Design Models in Matrix Form. Alternative Nonparametric Methods. 14 Factorial Experiments. Two-Factor Analysis of Variance. Extension to Three Factors. Random and Mixed Model Factorial Experiments. 2^k Factorial Experiments. 2^k Factorial Experiments in an Incomplete Block Design. Fractional Factorial Experiments. 15 Categorical Data. Multinomial Distribution. Chi-Squared Goodness of Fit Tests. Testing for Independence. Comparing Proportions. 16 Statistical Quality Control. Properties of Control Charts. Shewart Control Charts for Measurements. Shewart Control Charts for Attributes. Tolerance Limits. Acceptance Sampling. Two-Stage Acceptance Sampling. Extensions in Quality Control. Appendix A Statistical Tables. Appendix B Answers to Selected Problems. Appendix C Selected Derivations ENGINEERING STATISTICS DEMYSTIFIED By Larry J Stephens, University of Nebraska, Omaha 2007 (December 2006) / 448 pages ISBN-13: / MHID: A Professional Publication Clueless? Feel Like a Dummy? Get Demystified! This versatile reference offers solid coverage of the basics of traditional engineering statistics and also incorporates examples from the most popular statistical software programs, making it equally valuable to professionals. Preface Acknowledgments Chapter 1: Treatment of Data Using EXCEL, MINITAB, SAS, SPSS, and STATISTIX Chapter 2: Probability Chapter 3: Probability Distributions for Discrete Random Variables Chapter 4: Probability Densities for Continuous Random Variables and Introduction to MAPLE Chapter 5: Sampling Distributions Chapter 6: Inferences Concerning Means Chapter 7: Inferences Concerning Variances Chapter 8: Inferences Concerning Proportions Final Examinations Solutions To Chapter Exercises Bibliography Index Complimentary desk copies are available for course adoption only. Kindly contact your local McGraw-Hill Representative or fax the Examination Copy Request Form available on the back pages of this catalog. Visit McGraw-Hill Education Website: COMPLIMENTARY COPIES 118

122 STATISTICS AND PROBABILITY MULTIVARIATE STATISTICAL METHODS IN QUALITY MANAGEMENT By Kai Yang and Jayant Trewn 2004 / Hardcover / 299 pages ISBN-13: / MHID: A Professional Publication Chapter 1: Multivariate Statistical Methods and Quality. Chapter 2: Graphical Multivariate Data Display and Data Stratification. Chapter 3: Introduction to Multivariate Random Variables, Normal Distribution, and Sampling Properties. Chapter 4: Multivariate Analysis of Variance. Chapter 5: Principal Component Analysis and Factor Analysis. Chapter 6: Discriminant Analysis. Chapter 7: Cluster Analysis. Chapter 8: Mahalanobis Distance and Taguchi Method. Chapter 9: Path Analysis and the Structural Method. Chapter 10: Multivariate Statistical Process Control. Appendix: Probability Distribution Tables. References. Index Business Statistics New International Edition essentials of business statistics with student cd Second Edition By Bruce Bowerman and Richard O Connell of Miami University University, Oxford and J Burdeane Orris, Butler University 2008 (December 2006) ISBN-13: / MHID: ISBN-13: / MHID: [IE] Browse The new edition of Essentials of Business Statistics delivers clear and understandable explanations of core business statistics concepts, making it ideal for a one term course in business statistics. Containing continuing case studies that emphasize the theme of business improvement, the text offers real applications of statistics that are relevant to today s business students. The authors motivate students by showing persuasively how the use of statistical techniques in support of business decision-making helps to improve business processes. A variety of computer centered examples and exercises, and a robust, technology-based ancillary package are designed to help students master this subject. New to this edition New International Edition COMPLETE BUSINESS STATISTICS WITH STUDENT CD Seventh Edition By Aczel 2009 (February 2008) ISBN-13: / MHID: ISBN-13: / MHID: (Details unavailable at press time) New BUSINESS STATISTICS IN PRACTICE Fifth Edition By Bruce L Bowerman and Richard T O Connell of Miami University of OH-Oxford 2009 (February 2008) / 896 pages ISBN-13: / MHID: ISBN-13: / MHID: X (with Student CD) (Details unavailable at press time) Business Improvement Business Improvement theme, connecting statistical analysis and business decision making, is highlighted and called out with BI icons in the book. The Z versus T Decision--The Z versus T decision is governed by sigma known-unknown rather than by sample size. This is a reasonably significant change reflecting a new and widely accepted direction in this course area. Hypothesis Testing Hypothesis testing is approached using a new stepped method, which makes the material easier to learn. This new method received outstanding reviews. Internet Tutorials and Exercises highlight real work applications and give students practice in gathering and using real data. Chapter 1: An Introduction to Business Statistics Chapter 2: Descriptive Statistics Chapter 3: Probability Chapter 4: Discrete Random Variables Chapter 5: Continuous Random Variables Chapter 6: Sampling Distributions Chapter 7: Confidence Intervals Chapter 8: Hypothesis Testing Chapter 9: Statistical Inferences Based on Two Samples Chapter 10: Experimental Design and Analysis of Variance Chapter 11: Chi Square Tests Chapter 12: Simple Linear Regression Analysis Chapter 13: Multiple Regression and Model-Building Chapter 14: Process Improvement Using Control (On CD ROM) Appendix A. Statistical Tables Appendix B. Covariance and Correlation Appendix C (1) Counting Rules Appendix C (2) The Hypergeometric Distribution Appendix D The Normal Probability Plot Appendix E Two-Way Analysis of Variance (On CD ROM) 119

123 STATISTICS AND PROBABILITY New International Edition BASIC STATISTICS FOR BUSINESS AND ECONOMICS WITH STUDENT CD Sixth Edition By Douglas A Lind, Coastal Carolina University, William G Marchal, University of Toledo and Samuel A Wathen, Coastal Carolina University 2008 (November 2007) ISBN-13: / MHID: ISBN-13: / MHID: [IE] Lind/Marchal/Wathen: Basic Statistics for Business and Economics, Sixth edition is a derivative of the best-selling Statistical Techniques in Business and Economics, offering the essential topics of statistical tools and methods delivered in a student friendly, step-by-step format. The text is non-threatening and presents concepts clearly and succinctly with a conversational writing style. All statistical concepts are illustrated with solved applied examples immediately upon introduction. Modern computing tools and applications are introduced, but the text maintains a focus on presenting statistics content as opposed to technology or programming methods, and the sixth edition continues as a students text with increased emphasis on interpretation of data and results. New to this edition Basic Statistics for Business and Economics provides a short and understandable, step by step approach. Based on the more complete Statistical Techniques for Business and Economics, Basic has the same style and content coverage, just fewer chapters and optional topics in a shorter, less expensive text. Reading and homework assignments will be less intimidating to beginning students and students will be more motivated to use a text that looks and feels easier to use. More real world data and scenarios are used in exercises and examples, providing students with more realistic and relevant applications and motivation. Optional computer exercises and webbased exercise allow students to use technology and the World Wide Web for very current information and data for projects at the direction of the instructor. CONTENTS 1 What Is Statistics? 2 Describing Data: Frequency Distributions and Graphic Presentation 3 Describing Data: Numerical Measures 4 Describing Data: Displaying and Exploring Data 5 A Survey of Probability Concepts 6 Discrete Probability Distributions 7 Continuous Probability Distributions 8 Sampling Methods and the Central Limit Theorem 9 Estimation and Confidence Intervals 10 One-Sample Tests of Hypothesis 11 Two-Sample Tests of Hypothesis 12 Analysis of Variance 13 Linear Regression and Correlation 14 Multiple Regression and Correlation Analysis 15 Chi-Square Applications MegaStat for Excel Visual Statistics Appendixes, Tables, Data Sets, Solutions Photo Credits Index New BASIC STATISTICS USING EXCEL TO ACCOMPANY STATISTICAL TECHNIQUES IN BUSINESS AND ECONOMICS Thirteenth Edition By Douglas Lind, Coasta Carolina University 2008 (October 2006) ISBN-13: / MHID: (Details unavailable at press time) New International Edition STATISTICAL TECHNIQUES IN BUSINESS AND ECONOMICS Thirteenth Edition By Douglas Lind, Coastal Carolina University, William Marchal, University of Toledo and Samuel Wathen, Coastal Carolina University 2008 (October 2006) ISBN-13: / MHID: (with Student CD) ISBN-13: / MHID: X [IE with Student CD] Browse The new edition of Lind s Statistical Techniques in Business and Economics is a perennial market best seller due to its comprehensive coverage of statistical concepts and methods delivered in a studentfriendly, step-by-step format. The text is non-threatening and presents concepts clearly and succinctly with a conversational writing style. All statistical concepts are illustrated with solved applied examples immediately upon introduction. Self reviews and exercises for each section, and review sections for groups of chapters also support the student learning steps. Modern computing applications (Excel, Minitab, and MegaStat) are introduced, but the text maintains a focus on presenting statistics concepts as applied in business as opposed to technology or programming methods. The thirteenth edition continues as a students text with increased emphasis on interpretation of data and results. New to this edition Z Versus T: The division between the z and t distributions is based sigma known or unknown rather than on sample sizes Multiple Regression: Treatment now includes an investigation of the theory behind the linear model along with tests for the violation of each assumption. Robust Technology Package: Lind 13e features additional detail in the software sections, is available with Homework Manager/ Homework Manager Plus, and is available as a Zinio ebook. Excel, MegaStat, and Minitab are integrated throughout the text, in enough detail to support students. The comprehensive, user-friendly Student CD includes MegaStat, Visual Statistics, ScreenCam tutorials and additional study resources. 120

124 STATISTICS AND PROBABILITY Chapter 1: What Is Statistics? Chapter 2: Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation Chapter 3: Describing Data: Numerical Measures Chapter 4: Describing Data: Displaying and Exploring Data Chapter 5: A Survey of Probability Concepts Chapter 6: Discrete Probability Distributions Chapter 7: Continuous Probability Distributions Chapter 8: Sampling Methods and the Central Limit Theorem Chapter 9: Estimation and Confidence Intervals Chapter 10: One-Sample Tests of Hypothesis Chapter 11: Two-Sample Tests of Hypothesis Chapter 12: Analysis of Variance Chapter 13: Linear Regression and Correlation Chapter 14: Multiple Regressions and Correlation Analysis Chapter 15: Index Numbers Chapter 16: Time Series and Forecasting Chapter 17: Nonparametric Methods: Chi-Square Application Chapter 18: Nonparametric Methods: Analysis of Ranked Data Chapter 19: Statistical Process Control and Quality Management Chapter 20: An Introduction to Decision Theory / MegaStat for Excel / Visual Statistics 2.0 / Appendixes / Photo Credits / Index 11. Simple Linear Regression Analysis 12. Multiple Regression and Model Building. 13. Time Series Forecasting. 14. Process Improvement Using Control Charts. 15. Nonparametric Methods. 16. Chi-Square Tests 17. Decision Theory Appendix A: Statistical Tables Appendix B: Covariance and Correlation Appendix C: Part I: Counting Rules Part II The Hypergeometric Distribution Appendix D: The Normal Probability Plot Appendix E: Part I: Properties of the Mean and the Variance of a Random Variable, and Covariance Appendix F: Part I: Stratified Random Sampling. Answers to Most Odd-Numbered Exercises. References. Index. Appendix E: (Part 2) Derivations of the Mean and Variance of x and p On CD-ROM. Appendix F: (Part 2) Cluster Sampling and Ratio Estimation On CD-ROM. Appendix G: Using Matrix Algebra to Perform Regression Calculations On CD-ROM International Edition BUSINESS STATISTICS IN PRACTICE Fourth Edition By Bruce L. Bowerman, and Richard T. O Connell, both of Miami University Of Ohio-Oxford 2007 (December 2005) ISBN-13: / MHID: (with Student CD) ISBN-13: / MHID: [IE with Student CD] The new edition of Business Statistics in Practice delivers clear and understandable explanations of business statistics concepts through the use of continuing case studies and an emphasis on business improvement. The cases and examples show real applications of statistics relevant to today s business students. The authors motivate students by showing persuasively how the use of statistical techniques in support of business decision-making helps to improve business processes. A variety of computer centered examples and exercises, and a robust, technology-based ancillary package are designed to help students master this subject. Acknowledging the importance of spreadsheets and statistical software in their statistical instruction, the authors continue to integrate Excel and Minitab output throughout the text. In addition, a new enhanced version of MegaStat, an Excel add-in program designed to optimize Excel for statistical application, is available free on the Student CD. For students and instructors who want to explore statistical concepts from a graphical perspective, Visual Statistics is again available on the Student CD. New Business Improvement icons are integrated throughout the text to illustrate the BI theme. 1. An Introduction to Business Statistics. 2. Descriptive Statistics. 3. Probability 4. Discrete Random Variables. 5. Continuous Random Variables. 6. Sampling Distributions 7. Confidence Intervals. 8. Hypothesis Testing. 9. Statistical Inferences Based on Two Samples 10. Experimental Design and Analysis of Variance. International Edition BUSINESS FORECASTING WITH FORECAST X SOFTWARE Fifth Edition By J. Holton Wilson, Central Michigan University, Barry Keating, University Of Notre Dame, and John Galt Solutions Inc (December 2005) ISBN-13: / MHID: X (with Student CD) ISBN-13: / MHID: [IE with CD] Browse The Fifth Edition of Business Forecasting is the most practical forecasting book on the market with the most powerful software Forecast X. This new edition presents a broad-based survey of business forecasting methods including subjective and objective approaches. As always, the author team of Wilson and Keating deliver practical how-to forecasting techniques, while theory and math are held to a minimum. This edition focuses on the most proven, acceptable methods used commonly in business and government such as regression, smoothing, decomposition, and Box-Jenkins. This new edition continues to integrate the most comprehensive software tool available in this market, Forecast X. With the addition of ForeCastX, this text provides the most complete and up-to-date coverage of forecasting concepts with the most technologically sophisticated software package on the market. This Excel-based tool (which received a 4 point out 5 rating from PC Magazine, Oct. 2, 2000 issue) effectively uses wizards and many tools to make forecasting easy and understandable. Chapter 1 Introduction to Business Forecasting Chapter 2 The Forecast Process, Data Considerations, and Model Selection Chapter 3 Moving Averages and Exponential Smoothing Chapter 4 Introduction to Forecasting with Regression Methods Chapter 5 Forecasting with Multiple Regressions Chapter 6 Times-Series Decomposition Chapter 7 ARIMA (Box-Jenkins) Type Forecasting Models Chapter 8 Combining Forecast Results Chapter 9 Forecast Implications 121

125 STATISTICS AND PROBABILITY International Edition COMPLETE BUSINESS STATISTICS Sixth Edition By Amir D. Aczel, Bentley College 2006 / Hardcover ISBN-13: / MHID: (with Student CD) ISBN-13: / MHID: [IE with CD] Browse Statistical integrity with a complete Excel solution, this new edition of Complete Business Statistics offers revised sections on regression analysis and updated cases highlighting companies across the globe. 0. Working with Templates 1. Introduction and Descriptive Statistics 2. Probability 3 Random Variables 4. The Normal Distribution 5. Sampling and Sampling Distributions 6. Confidence Intervals 7. Hypothesis Testing 8. The Comparison of Two Populations 9 Analysis of Variance 10. Simple Linear Regression and Correlation 11. Multiple Regression and Correlation 12. Time Series, Forecasting, and Index Numbers 13. Quality Control and Improvement 14. Nonparametric Methods and Chi-Square Test 15. Bayesian Statistics and Decision Analysis Appendices A: References B: Answers to Most Odd-Numbered Problems C: Statistical Tables On the CD 16. Sampling Methods 17. Multivariate Analysis BASIC STATISTICS USING EXCEL FOR OFFICE XP Twelve Edition By Douglas Lind, Coasta Carolina University, William Marchal, University of Toledo and Robert Mason 2005 ISBN-13: / MHID: CONTENTS 1. What is Statistics? 2. Describing Data: Frequency Distributions and Graphic Presentation 3. Describing Data: Numerical Measures 4. Describing Data: Displaying and Exploring Data 5. A Survey of Probability Concepts 6. Discrete Probability Distributions 7. Continuous Probability Distributions 8. Sampling Methods and the Central Limit Theorem 9. Estimation and Confidence Intervals 10. One-Sample Tests of Hypothesis 11.Two-Samples Tests of Hypothesis 12. Analysis of Variance 13. Linear Regression and Correlation 14. Multiple Regression and Correlation Analysis 15. Nonparametric Methods: Chi-Square Applications 16. Nonparametric Methods: Analysis of Ranked Data 17. Statistical Quality Control 18. Index Numbers 19. Time Series and Forecasting 20. An Introduction to Decision Theory Appendixes Answers to Odd-Numbered Chapter Exercises Answers to Odd-Numbered Review Exercises Photo Credits Index International Edition Applied Linear Regression Models Fourth Edition By Michael H Kutner, Emory University; Christopher J Nachtsheim, University of Minnesota and John Neter, University of Georgia 2004 / 672 pages ISBN-13: / MHID: (with Student CD) ISBN-13: / MHID: (IE) Part 1 Simple Linear Regression: 1 Linear Regression with One Predictor Variable. 2 Inferences in Regression and Correlation Analysis. 3 Diagnostics and Remedial Measures. 4 Simultaneous Inferences and Other Topics in Regression Analysis. 5 Matrix Approach to Simple Linear Regression Analysis. Part 2 Multiple Linear Regression: 6 Multiple Regression I. 7 Multiple Regression II. 8 Building the Regression Model I: Models for Quantitative and Qualitative Predictors. 9 Building the Regression Model II: Model Selection and Validation. 10 Building the Regression Model III: Diagnostics. 11 Remedial Measures and Alternative Regression Techniques. 12 Autocorrelation in Time Series Data. Part 3 Nonlinear Regression: 13 Introduction to Nonlinear Regression and Neural Networks. 14 Logistic Regression, Poisson Regression, and Generalized Linear Models 122

126 STATISTICS AND PROBABILITY International Edition Practical Business Statistics Fifth Edition By Andrew F Siegel, University of Washington 2003 / 816 pages / hardcover ISBN-13: / MHID: (with Student CD) ISBN-13: / MHID: [IE with Student CD] PART I: INTRODUCTION: DEFINING THE ROLE OF STATISTICS IN BUSINESS. 1 Introduction: Defining the Role of Statistics in Business. 2 Data Structures: Classifying the Various Types of Data Sets. 3 Histograms: Looking at the Distribution of Data. 4 Landmark Summaries: Interpreting Typical Values and Percentiles. 5 Variabilty: Dealing With Diversity. PART II: PROBABILITY. 6 Probability: Understanding Random Situations. 7 Random Variables: Working With Uncertain Numbers. PART III: STATISTICAL INFERENCE. 8 Random Sampling. 9 Confidence Intervals: Admitting That Estimates Are Not Exact. 10 Hypothesis Testing: Deciding Between Reality And Coincidence. PART IV: REGRESSION AND TIME SERIES. 11 Correaltion And Regression: Measuring And Predicting Relationships. 12 Multiple Regression: Predicting One Factor From Several Others. 13 Report Writing: Communicating The Results Of A Multiple Regression. 14 Time Series: Understanding Changes Over Time. PART V: METHODS AND APPLICATIONS. 15 Anova: Testing For Differences Among Many Samples, And Much More. 16 Nonparametrics: Testing With Ordinal Data Or Nonnormal Distributions. 17 Chi-Squared Analysis: Testing For Patterns In Qualitive Data. 18 Quality Control: Recognizing And Managing Variation. Appendix A: Employee Database. Appendix B: Donations Database. Appendix C: Self-Test: Solutions To Selected Problems And Database Exercises. Appendix D: Statistical Tables. Appendix E: Statpad Quick Reference Guide Introductory Mathematics and Statistics For Business Fourth Edition By John Croucher, Macquarie University, NSW, Australia 2002 / 784 pages ISBN-13: / MHID: McGraw-Hill Australia Title Preface. Guided tour. MATHEMATICS: Chapter 1 Basics Mathematics. Chapter 2 Percentages. Chapter 3 Algebra. Chapter 4 Ratios And Proportions. Chapter 5 Simple Interest. Chapter 6 Compound Interest. Chapter 7 Annuities. Chapter 8 Depreciation. Chapter 9 Graphing. APPENDIXES: A: A test of basic mathematics. B: Trial examination. TABLES: 1 Amount at compound interest tables. 2 Present value at compound interest tables. 3 Future value of an annuity tables. 4 Table of common logarithms. Summary Of Useful Mathematical Formulae. Solutions To Selected Exercises. STATISTICS: Chapter 1 Introduction To Statistics. Chapter 2 Visual Presentation Of Data. Chapter 3 Measures Of Central Tendency. Chapter 4 Measures Of Dispersion. Chapter 5 Sampling. Chapter 6 Elementary Probability. Chapter 7 The Normal Distribution. Chapter 8 Correlation. Chapter 9 Regression Analysis. Chapter 10 Index Numbers. Chapter 11 Time Series And Trend Analysis. Chapter 12 Hypothesis Testing. Chapter 13 Analysis Of Frequency Data. APPENDIXES: A: A note on summation notation. B: A note on calculators. C: A note on computer packages Minitab, SPSS, Microsoft Excel for Windows. D: Trial examinations. TABLES: 1 Areas under the standard normal curve. 2 Critical values for the t-distribution. 3 Critical values for the rank correlation coefficient. 4 Critical values for the chi-square distribution. A Summary Of Useful Statistical Formulae. Solutions To Selected Exercises. Glossary. Index 123

127 STATISTICS AND PROBABILITY Statistics Making Business Decisions By John Croucher, Macquarie University, NSW, Australia 2002 / 528 pages ISBN-13: / MHID: McGraw-Hill Australia Title Preface. Guided Tour. Chapter 1 Introduction to Statistics. Chapter 2 Visual Presentation of Data. Chapter 3 Measures of Central Tendency. Chapter 4 Measures of Dispersion. Chapter 5 Sampling. Chapter 6 Elementary Probability. Chapter 7 The Normal Distribution. Chapter 8 Correlation. Chapter 9 Regression Analysis. Chapter 10 Index Numbers. Chapter 11 Time Series And Trend Analysis. Chapter 12 Hypothesis Testing. Chapter 13 Analysis of Frequency Data. APPENDIXES: A: A note on summation notation. B: A note on calculators. C: A note on computer packages Minitab, SPSS, Microsoft Excel for Windows. D: Trial examinations. TABLES: 1 Areas under the standard normal curve. 2 Critical values for the t-distribution. 3 Critical values for the rank correlation coefficient. 4 Critical values for the chi-square distribution. A Summary of Useful Statistical Formulae. Solutions to Selected Exercises. Glossary. Index SCHAUM S OUTLINE OF BEGINNING STATISTICS Second Edition By Larry Stephens, University of Nebraska, Omaha 2006 (December 2005) / 416 pages ISBN-13: / MHID: A Schaum s Publication This study tool is ideal if you wish to master the basics for an introductory course or solo study. This new edition includes output from Excel, SAS, SPSS, STATISTIX, and MINITAB, all of which are now in general use for college courses on statistics at this level. It will also include up-to-date statistical examples taken from the latest media sources. International Edition Schaum s Outline of Business Statistics Fourth Edition By Leonard J. Kazmier, Arizona State University 2004 / 432 pages ISBN-13: / MHID: ISBN-13: / MHID: [IE] A Schaum s Publication (International Edition is not for sale in Japan) Conforming to the current business statistics curriculum, this fourth edition of Schaum s Outline of Business Statistics reflects recent changes in the course as well as in general practice, including new sections in each chapter on the application of Excel the most used program in offices throughout the world making this the first book to address this change in the curriculum. The fourth edition continues to provide a direct and effective tool for learning the fundamentals of business statistics without the technical verbiage. SCHAUM S EASY OUTLINE OF BUSINESS STATISTICS By Leonard J. Kazmier, Arizona State University 2003 / 160 pages ISBN-13: / MHID: A Schaum s Publication CONTENTS Chapter 1: Analyzing Business Data Chapter 2: Statistical Presentations and Graphical Analysis Chapter 3: Describing Business Data: Measures of Location Chapter 4: Describing Business Data: Measures of Variability Chapter 5: Probability Chapter 6: Probability Distributions for Discrete Random Variables Chapter 7: Probability Distributions for Continuous Random Variables Chapter 8: Sampling Distributions and Confidence Intervals for the Mean Chapter 9: Other Confidence Intervals Chapter 10: Testing Hypotheses Concerning the Value of the Population Mean Chapter 11: Testing Other Hypotheses Chapter 12: The Chi-Square Test Chapter 13: Analysis of Variance Chapter 14: Linear Regression and Correlation Analysis Chapter 15: Multiple Regression and Correlation Chapter 16: Time Series Analysis and Business Forecasting Chapter 17: Index Numbers for Business and Economic Data Chapter 18: Decision Analysis: Payoff Tables And Decision Trees Chapter 19: Decision Analysis: The Use of the Sample Information Chapter 20: Statistical Process Control Chapter 21: Nonparametric Statistics Appendices 124

128 STATISTICS AND PROBABILITY SCHAUM S OUTLINE OF STATISTICS AND ECONOMETRICS Second Edition By Dominick Salvatore, Fordham University Bronx and Derrick Reagle 2002 / 256 pages ISBN-13: / MHID: A Schaum s Publication CONTENTS Introduction. Descriptive Statistics. Probability and Probability Distributions. Statistics Inference: Estimation. Statistical Inference: Testing Hypothesis. Statistics Examination. Simple Regression Analysis. Multiple Regression Analysis. Problems in Regression Analysis. Further Techniques and Applications in Regression Analysis. Simultaneous-Equations Methods. Time Series Econometrics. Statistics Examination. Bionomial Distribution. Poisson Distribution. Standard Normal Distribution. Table of Random Numbers. Student t Distribution. Chi-Square Distribution. F Distribution. Durbin-Watson Statistics. Critical Values of Runs in the Run Tests. INVITATION TO PUBLISH McGraw-Hill is interested in reviewing manuscript for publication. Please contact your local McGraw-Hill office or to asiapub@mcgraw-hill.com Visit McGraw-Hill Education (Asia) Website: Advanced Statistics International Edition APPLIED LINEAR STATISTICAL MODELS Fifth Edition By Michael H Kutner, Emory University; Christopher J Nachtsheim, University of Minnesota; John Neter, University of Georgia and William Li, University of Minnesota 2005 / 1,200 pages ISBN-13: / MHID: X (with CD) ISBN-13: / MHID: [IE with CD] CONTENTS Part 1 Simple Linear Regression: 1 Linear Regression with One Predictor Variable. 2 Inferences in Regression and Correlation Analysis. 3 Diagnostic and Remedial Measures. 4 Simultaneous Inferences and Other Topics in Regression Analysis. 5 Matrix Approach to Simple Linear Regression Analysis. Part 2 Multiple Linear Regression: 6 Multiple Regression I. 7 Multiple Regression II. 8 Regression Models for Quantitative and Qualitative Predictors. 9 Building the Regression Model I: Model Selection and Validation. 10 Building the Regression Model II: Diagnostics. 11 Building the Regression Model III: Remedial Measures. 12 Autocorrelation in Time Series Data. Part 3 Nonlinear Regression: 13 Introduction to Nonlinear Regression and Neural Networks. 14 Logistic Regression, Poisson Regression, and Generalized Linear Models. Part 4 Design and Analysis of Single-Factor Studies: 15 Introduction to the Design of Experimental and Observational Studies. 16 Single Factor Studies. 17 Analysis of Factor-Level Means. 18 ANOVA Diagnostics and Remedial Measures. Part 5 Multi-Factor Studies: 19 Two Factor Studies with Equal Sample Sizes. 20 Two Factor Studies-One Case per Treatment. 21 Randomized Complete Block Designs. 22 Analysis of Covariance. 23 Two Factor Studies with Unequal Sample Sizes. 24 MultiFactor Studies. 25 Random and Mixed Effects Models. Part 6 Specialized Study Designs: 26 Nested Designs, Subsampling, and Partially Nested Designs. 27 Repeated Measures and Related Designs. 28 Balanced Incomplete Block, Latin Square, and Related Designs. 29 Exploratory Experiments: Two-Level Factorial and Fractional Factorial Designs. 30 Response Surface Methodology. Appendix A: Some Basic Results in Probability and Statistics. Appendix B: Tables. Appendix C: Data Sets. Appendix D: Rules for Develping ANOVA Models and Tables for Balanced Designs. Appendix E: Selected Bibliography 125

129 TITLE INDEX A Algebra Demystified Huettenmueller 16 Algebra for College Students Miller 36 Algebra for College Students, 5e Dugopolski 34 Applied and Algorithmic Graph Theory Chartrand 96 Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition, 9e Hoffmann 67 Applied Linear Regression Models, 4e Kutner 122 Applied Linear Statistical Models, 5e Kutner 125 Applied Mathematics for Business, Economics and the Social Science, 4e Budnick 42 B Basic College Mathematics Miller 6 Basic College Mathematics, 2e Bello 6 Basic Mathematical Skills with Geometry, 7e Hutchison 5 Basic Statistics for Business and Economics with Student CD, 6e Lind 120 Basic Statistics Using Excel for Office XP, 12e Lind 122 Basic Statistics Using Excel to Accompany Statistical Techniques in Business and Economics, 13e Lind 120 Beginning Algebra, 2e Miller 14 Beginning Algebra, 7e Hutchison 13 Beginning and Intermediate Algebra, 2e Hall 20 Beginning and Intermediate Algebra, 2e Messersmith 18 Beginning and Intermediate Algebra, 2e Miller 24 Beginning and Intermediate Algebra: A Unified Worktext Streeter 26 Bob Miller s Algebra for the Clueless, 2e Miller 16 Bob Miller s Geometry for the Clueless, 2e Miller 40 Business Calculus Demystified Huettenmueller 69 Business Forecasting with Forecast X Software, 5e Wilson 121 Business Math Demystified Bluman 42 Business Statistics in Practice, 4e Bowerman 121 Business Statistics in Practice, 5e Bowerman 119 C Calculus Demystified Krantz 78 Calculus for Business, Economics, and the Social and Life Sciences, Brief Edition, 9e Hoffmann 68 Calculus with Mathzone: Early Transcendental Functions, 3e Smith 71 Calculus, Single Variable: Late Transcendental Functions, 3e Smith 74 Calculus: Concepts and Connections Smith 72 Calculus: Late Transcendental Functions, 3e Smith 69 Calculus: Multivariable: Early Transcendental Functions, 3e Smith 81 Calculus: Multivariable: Late Transcendental Functions, 3e Smith 80 Calculus: Single Variable: Early Transcendental Functions, 3e Smith

130 TITLE INDEX College Algebra with Trigonometry, 8e Barnett 56 College Algebra with Trigonometry: Graphs and Models Barnett 57 College Algebra Coburn 53 College Algebra, 8e Barnett 52 College Algebra: Graphs and Models, 3e Barnett 51 Complete Business Statistics with Student CD, 7e Aczel 119 Complete Business Statistics, 6e Aczel 122 Complex Analysis, 3e Ahlfors 103 Complex Variables and Applications, 8e Brown 101 D Differential Equations Demystified Krantz 106 Differential Equations with Applications and Historical Notes, 2e Simmons 87 Differential Equations Ang 86 Differential Equations: A Modeling Approach Ledder 86 Differential Equations: Theory, Technique, and Practice Simmons 85, 87 Discrete Mathematics and its Applications, 6e Rosen 45 Discrete Mathematics by Example Simpson 46 E Elementary Algebra, 6e Dugopolski 12 Elementary and Intermediate Algebra, 3e Dugopolski 16 Elementary and Intermediate Algebra, 3e Hutchison 21 Elementary and Intermediate Algebra, Alternate Hardcover Edition, 3e Hutchinson 23 Elementary Linear Algebra, 2e Nicholson 91 Elementary Number Theory, 2e Eynden 100 Elementary Number Theory, 6e Burton 100 Elementary Numerical Analysis: An Algorithmic Approach, 3e Conte 99 Elementary Statistics: A Brief Version, 4e Bluman 109 Elementary Statistics: A Step by Step Approach, 6e Bluman 110 Elements of Partial Differential Equations Sneddon 89 Engineering Statistics Demystified Stephens 118 Essentials of Business Statistics with Student CD, 2e Bowerman 119 Everyday Math Demystified Gibilisco 8 F Five Steps to a 5 AP Calculus AB-BC, 2e Ma 73 Fourier Series and Boundary Value Problems, 7e Brown 88 G Geometry with Geometry Explorer Hvidsten 39 Getting Started with the T1-84 Plus Graphing Calculator Ng 105 Great Jobs for Math Majors, 2e Lambert

131 TITLE INDEX H Higher Engineering Mathematics Ramana 94 History of Mathematics an Introduction (The), 6e Burton 97 How to Solve Word Problems in Arithmetic Pullman 8 How to Solve Word Problems in Calculus Don 78 How to Solve Word Problems in Mathematics Wayne 8 I Intermediate Algebra Hutchison 29 Intermediate Algebra, 2e Bello 33 Intermediate Algebra, 2e Miller 31 Intermediate Algebra, 6e Dugopolski 27 Intermediate Algebra: The Language and Symbolism of Mathematics Hall 32 Introduction to Biostatistics Glover 115 Introduction to Enumerative Combinatorics Bona 93 Introduction to Graph Theory Chartrand 95 Introduction to Mathematical Analysis Parzynski 97 Introduction to Probability and Statistics: Principles and Applications for Engineering and the Milton 114, 117 Computing Sciences, 4e Introduction to the Theory of Statistics, 3e Mood 115 Introductory Algebra Miller 15 Introductory Algebra, 3e Bello 11 Introductory Mathematics and Statistics for Business, 4e Croucher 123 L Lectures in Elementary Probability Theory and Stochastic Processes Falmagne 112 Linear Algebra Demystified McMahon 92 Linear Algebra with Applications, 5e Nicholson 90 M Math for the Anxious Proga 7 Math Proofs Demystified Gibilisco 105 Math Word Problems Demystified Bluman 27 Mathematics for Elementary Teachers: A Conceptual Approach, 7e Bennett 43 Mathematics for Elementary Teachers: An Activity Approach, 7e Bennett 44 Mathematics for Technicians, 5e Alldis 7 Mathematics for Technicians, 6e Alldis 46 Mathematics in Our World Bluman 41 McGraw-Hill Dictionary of Mathematics, 2e McGraw-Hill 106 McGraw-Hill s Conquering GRE/GMAT Math Moyer 42 Multivariate Statistical Methods in Quality Management Yang

132 TITLE INDEX P Practical Business Statistics, 5e Siegel 123 Prealgebra, 2e Hutchison 9 Pre-Algebra, 3e Bach 10 Pre-Calculus Demystified Huettenmueller 106 Precalculus with Limits, 6e Barnett 60 Precalculus with Mathzone, 6e Barnett 61 Precalculus: Concepts, Connections and Applications Coburn 62 Precalculus: Graphs and Models, 3e Barnett 58 Principles of Mathematical Analysis, 3e Rudin 97 R Ready, Set, Go! a Student Guide to SPSS 13.0 and 14.0 for Windows, 2e Pavkov 111 Real and Complex Analysis, 3e Rudin 103 Research Projects in Statistics Kincaid 111 S Schaum s 2,000 Solved Problems in Discrete Mathematics Lipschutz 46 Schaum s 3,000 Solved Problems in Calculus Mendelson 79 Schaum s 3,000 Solved Problems in Linear Algebra Lipschultz 92 Schaum s A-Z Mathematics Berry 7 Schaum s Easy Outline Intermediate Algebra Steege 34 Schaum s Easy Outline of Business Statistics Kazmier 124 Schaum s Easy Outline of Logic Nolt 94 Schaum s Easy Outline: College Algebra Spiegel 54 Schaum s Easy Outlines: Calculus Ayres 79 Schaum s Easy Outlines: Geometry Rich 40 Schaum s Easy Outlines: Linear Algebra Lipschutz 92 Schaum s Easy Outlines: Mathematical Handbook of Formulas and Tables Spiegel 106 Schaum s Easy Outlines: Statistics Spiegel 113 Schaum s Outline of Advanced Calculus, 2e Wrede 74 Schaum s Outline of Advanced Mathematics for Engineers and Scientists, SI Metric Spiegel 95 Schaum s Outline of Beginning Calculs, 3e Mendelson 78 Schaum s Outline of Beginning Finite Mathematics Lipschutz 44 Schaum s Outline of Beginning Statistics, 2e Stephens 124 Schaum s Outline of Business Statistics, 4e Kazmier 124 Schaum s Outline of Calculus, 5e Ayres 77 Schaum s Outline of College Algebra, 3e Moyer 54 Schaum s Outline of Combinatorics Balakrishnan 96 Schaum s Outline of Complex Variables Spiegel 104 Schaum s Outline of Differential and Integral Calculus, SI Metric, 3e Ayres 79 Schaum s Outline of Differential Equations, 3e Bronson 87 Schaum s Outline of Differential Geometry Lipschutz

133 TITLE INDEX Schaum s Outline of Discrete Mathematics, 3e Lipschutz 46 Schaum s Outline of Elementary Algebra, 3e Rich 16 Schaum s Outline of Elements of Statistics I: Differential Statistics and Probability Bernstein 113 Schaum s Outline of Elements of Statistics II: Inferential Statistics Bernstein 113 Schaum s Outline of General Topology Lipschutz 105 Schaum s Outline of Geometry, 3e Rich 40 Schaum s Outline of Geometry, 4e Rich 40 Schaum s Outline of Graph Theory: Including Hundreds of Solved Problems Balakrishnan 96 Schaum s Outline of Intermediate Algebra Steege 34 Schaum s Outline of Introduction to Mathematical Economics, 3e Dowling 43 Schaum s Outline of Introduction to Probability and Statistics Lipschutz 113 Schaum s Outline of Linear Algebra, 4e Lipschutz 92 Schaum s Outline of Mathematica Don 79 Schaum s Outline of Mathematical Handbook of Formulas and Tables, 2e Spiegel 106 Schaum s Outline of Mathematical Methods for Business and Economics Dowling 43 Schaum s Outline of Modern Abstract Algebra Ayres 101 Schaum s Outline of Numerical Analysis, 2e Scheid 99 Schaum s Outline of Partial Differential Equations DuChateau 89 Schaum s Outline of Precalculus, 2e Safier 63 Schaum s Outline of Probability and Statistics, 3e Schiller 115 Schaum s Outline of Probability, 2e Lipschutz 113 Schaum s Outline of Review of Elementary Mathematics, 2e Rich 8 Schaum s Outline of Set Theory and Related Topics, 2e Lipschutz 114 Schaum s Outline of Statistics and Econometrics, 2e Salvatore 125 Schaum s Outline of Statistics, 4e Spiegel 112 Schaum s Outline of Trigonometry, 4e Moyer 56 Schaum s Outline of Understanding Calculus Concepts Passow 79 Schaum s Outline of Vector Analysis Spiegel 95 Solving Business Problems Using a Calculator, 6e Polisky 41 SPSS Survival Manual, 3e Pallant 116 Statistical Techniques in Business and Economics, 13e Lind 120 Statistics for Engineers and Scientists, 2e Navidi 117 Statistics for the Utterly Confused, 2e Jaisingh 116 Statistics: A First Course, 6e Sanders 112 Statistics: Making Business Decisions Croucher 124 T Technical Math Demystified Gibilisco 47 Topology Davis 104 Transition to Higher Mathematics: Structure and Proof Dumas 89 Trigonometry with Mathzone Coburn 54 Trigonometry, Revised 3e Baley

134 AUTHOR INDEX A Aczel Complete Business Statistics with Student CD, 7e 119 Aczel Complete Business Statistics, 6e 122 Ahlfors Complex Analysis, 3e 103 Alldis Mathematics for Technicians, 5e 7 Alldis Mathematics for Technicians, 6e 46 Ang Differential Equations 86 Ayres Schaum s Easy Outlines: Calculus 79 Ayres Schaum s Outline of Calculus, 5e 77 Ayres Schaum s Outline of Differential and Integral Calculus, SI Metric, 3e 79 Ayres Schaum s Outline of Modern Abstract Algebra 101 B Bach Pre-Algebra, 3e 10 Balakrishnan Schaum s Outline of Combinatorics 96 Balakrishnan Schaum s Outline of Graph Theory: Including Hundreds of Solved Problems 96 Baley Trigonometry, Revised 3e 55 Barnett College Algebra with Trigonometry, 8e 56 Barnett College Algebra with Trigonometry: Graphs and Models 57 Barnett College Algebra, 8e 52 Barnett College Algebra: Graphs and Models, 3e 51 Barnett Precalculus with Limits, 6e 60 Barnett Precalculus with Mathzone, 6e 61 Barnett Precalculus: Graphs and Models, 3e 58 Bello Basic College Mathematics, 2e 6 Bello Intermediate Algebra, 2e 33 Bello Introductory Algebra, 3e 11 Bennett Mathematics for Elementary Teachers: A Conceptual Approach, 7e 43 Bennett Mathematics for Elementary Teachers: An Activity Approach, 7e 44 Bernstein Schaum s Outline of Elements of Statistics I: Differential Statistics and Probability 113 Bernstein Schaum s Outline of Elements of Statistics II: Inferential Statistics 113 Berry Schaum s A-Z Mathematics 7 Bluman Business Math Demystified 42 Bluman Elementary Statistics: A Brief Version, 4e 109 Bluman Elementary Statistics: A Step by Step Approach, 6e 110 Bluman Math Word Problems Demystified 27 Bluman Mathematics in Our World 41 Bona Introduction to Enumerative Combinatorics 93 Bowerman Business Statistics in Practice, 4e 121 Bowerman Business Statistics in Practice, 5e 119 Bowerman Essentials of Business Statistics with Student CD, 2e 119 Bronson Schaum s Outline of Differential Equations, 3e

135 AUTHOR INDEX Brown Complex Variables and Applications, 8e 101 Brown Fourier Series and Boundary Value Problems, 7e 88 Budnick Applied Mathematics for Business, Economics and the Social Science, 4e 42 Burton Elementary Number Theory, 6e 100 Burton The History of Mathematics an Introduction, 6e 97 C Chartrand Applied and Algorithmic Graph Theory 96 Chartrand Introduction to Graph Theory 95 Coburn College Algebra 53 Coburn Precalculus: Concepts, Connections and Applications 62 Coburn Trigonometry with Mathzone 54 Conte Elementary Numerical Analysis: An Algorithmic Approach, 3e 99 Croucher Introductory Mathematics and Statistics for Business, 4e 123 Croucher Statistics: Making Business Decisions 124 D Davis Topology 104 Don How to Solve Word Problems in Calculus 78 Don Schaum s Outline of Mathematica 79 Dowling Schaum s Outline of Introduction to Mathematical Economics, 3e 43 Dowling Schaum s Outline of Mathematical Methods for Business and Economics 43 DuChateau Schaum s Outline of Partial Differential Equations 89 Dugopolski Algebra for College Students, 5e 34 Dugopolski Elementary Algebra, 6e 12 Dugopolski Elementary and Intermediate Algebra, 3e 16 Dugopolski Intermediate Algebra, 6e 27 Dumas Transition to Higher Mathematics: Structure and Proof 89 E Eynden Elementary Number Theory, 2e 100 F Falmagne Lectures in Elementary Probability Theory and Stochastic Processes 112 G Gibilisco Everyday Math Demystified 8 Gibilisco Math Proofs Demystified 105 Gibilisco Technical Math Demystified 47 Glover Introduction to Biostatistics 115 H Hall Beginning and Intermediate Algebra, 2e 20 Hall Intermediate Algebra: The Language and Symbolism of Mathematics 32 Hoffmann Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition, 9e

136 AUTHOR INDEX Hoffmann Calculus for Business, Economics, and the Social and Life Sciences, Brief Edition, 9e 68 Huettenmueller Pre-Calculus Demystified 106 Huettenmueller Algebra Demystified 16 Huettenmueller Business Calculus Demystified 69 Hutchinson Elementary and Intermediate Algebra, Alternate Hardcover Edition, 3e 23 Hutchison Basic Mathematical Skills with Geometry, 7e 5 Hutchison Beginning Algebra, 7e 13 Hutchison Elementary and Intermediate Algebra, 3e 21 Hutchison Intermediate Algebra 29 Hutchison Prealgebra, 2e 9 Hvidsten Geometry with Geometry Explorer 39 J Jaisingh Statistics for the Utterly Confused, 2e 116 K Kazmier Schaum s Easy Outline of Business Statistics 124 Kazmier Schaum s Outline of Business Statistics, 4e 124 Kincaid Research Projects in Statistics 111 Krantz Calculus Demystified 78 Krantz Differential Equations Demystified 106 Kutner Applied Linear Regression Models, 4e 122 Kutner Applied Linear Statistical Models, 5e 125 L Lambert Great Jobs for Math Majors, 2e 105 Ledder Differential Equations: A Modeling Approach 86 Lind Basic Statistics for Business and Economics with Student CD, 6e 120 Lind Basic Statistics Using Excel for Office XP, 12e 122 Lind Basic Statistics Using Excel to Accompany Statistical Techniques in Business and Economics, 13e 120 Lind Statistical Techniques in Business and Economics, 13e 120 Lipschultz Schaum s 3,000 Solved Problems in Linear Algebra 92 Lipschutz Schaum s 2,000 Solved Problems in Discrete Mathematics 46 Lipschutz Schaum s Easy Outlines: Linear Algebra 92 Lipschutz Schaum s Outline of Beginning Finite Mathematics 44 Lipschutz Schaum s Outline of Differential Geometry 101 Lipschutz Schaum s Outline of Discrete Mathematics, 3e 46 Lipschutz Schaum s Outline of General Topology 105 Lipschutz Schaum s Outline of Introduction to Probability and Statistics 113 Lipschutz Schaum s Outline of Linear Algebra, 4e 92 Lipschutz Schaum s Outline of Probability, 2e 113 Lipschutz Schaum s Outline of Set Theory and Related Topics, 2e

137 AUTHOR INDEX M Ma Five Steps to a 5 AP Calculus AB-BC, 2e 73 McGraw-Hill McGraw-Hill Dictionary of Mathematics, 2e 106 McMahon Linear Algebra Demystified 92 Mendelson Schaum s 3,000 Solved Problems in Calculus 79 Mendelson Schaum s Outline of Beginning Calculs, 3e 78 Messersmith Beginning and Intermediate Algebra, 2e 18 Miller Algebra for College Students 36 Miller Basic College Mathematics 6 Miller Beginning Algebra, 2e 14 Miller Beginning and Intermediate Algebra, 2e 24 Miller Bob Miller s Algebra for the Clueless, 2e 16 Miller Bob Miller s Geometry for the Clueless, 2e 40 Miller Intermediate Algebra, 2e 31 Miller Introductory Algebra 15 Milton Introduction to Probability and Statistics: Principles and Applications for Engineering and the 114, 117 Computing Sciences, 4e Mood Introduction to the Theory of Statistics, 3e 115 Moyer McGraw-Hill s Conquering GRE/GMAT Math 42 Moyer Schaum s Outline of College Algebra, 3e 54 Moyer Schaum s Outline of Trigonometry, 4e 56 N Navidi Statistics for Engineers and Scientists, 2e 117 Ng Getting Started with the T1-84 Plus Graphing Calculator 105 Nicholson Elementary Linear Algebra, 2e 91 Nicholson Linear Algebra with Applications, 5e 90 Nolt Schaum s Easy Outline of Logic 94 P Pallant SPSS Survival Manual, 3e 116 Parzynski Introduction to Mathematical Analysis 97 Passow Schaum s Outline of Understanding Calculus Concepts 79 Pavkov Ready, Set, Go! a Student Guide to SPSS 13.0 and 14.0 for Windows, 2e 111 Polisky Solving Business Problems Using a Calculator, 6e 41 Proga Math for the Anxious 7 Pullman How to Solve Word Problems in Arithmetic 8 R Ramana Higher Engineering Mathematics 94 Rich Schaum s Easy Outlines: Geometry 40 Rich Schaum s Outline of Elementary Algebra, 3e 16 Rich Schaum s Outline of Geometry, 3e 40 Rich Schaum s Outline of Geometry, 4e

138 AUTHOR INDEX Rich Schaum s Outline of Review of Elementary Mathematics, 2e 8 Rosen Discrete Mathematics and its Applications, 6e 45 Rudin Principles of Mathematical Analysis, 3e 97 Rudin Real and Complex Analysis, 3e 103 S Safier Schaum s Outline of Precalculus, 2e 63 Salvatore Schaum s Outline of Statistics and Econometrics, 2e 125 Sanders Statistics: A First Course, 6e 112 Scheid Schaum s Outline of Numerical Analysis, 2e 99 Schiller Schaum s Outline of Probability and Statistics, 3e 115 Siegel Practical Business Statistics, 5e 123 Simmons Differential Equations with Applications and Historical Notes, 2e 87 Simmons Differential Equations: Theory, Technique, and Practice 85, 87 Simpson Discrete Mathematics by Example 46 Smith Calculus with Mathzone: Early Transcendental Functions, 3e 71 Smith Calculus, Single Variable: Late Transcendental Functions, 3e 74 Smith Calculus: Concepts and Connections 72 Smith Calculus: Late Transcendental Functions, 3e 69 Smith Calculus: Multivariable: Early Transcendental Functions, 3e 81 Smith Calculus: Multivariable: Late Transcendental Functions, 3e 80 Smith Calculus: Single Variable: Early Transcendental Functions, 3e 76 Sneddon Elements of Partial Differential Equations 89 Spiegel Schaum s Easy Outline: College Algebra 54 Spiegel Schaum s Easy Outlines: Mathematical Handbook of Formulas and Tables 106 Spiegel Schaum s Easy Outlines: Statistics 113 Spiegel Schaum s Outline of Advanced Mathematics for Engineers and Scientists, SI Metric 95 Spiegel Schaum s Outline of Complex Variables 104 Spiegel Schaum s Outline of Mathematical Handbook of Formulas and Tables, 2e 106 Spiegel Schaum s Outline of Statistics, 4e 112 Spiegel Schaum s Outline of Vector Analysis 95 Steege Schaum s Easy Outline Intermediate Algebra 34 Steege Schaum s Outline of Intermediate Algebra 34 Stephens Engineering Statistics Demystified 118 Stephens Schaum s Outline of Beginning Statistics, 2e 124 Streeter Beginning and Intermediate Algebra: A Unified Worktext 26 W Wayne How to Solve Word Problems in Mathematics 8 Wilson Business Forecasting with Forecast X Software, 5e 121 Wrede Schaum s Outline of Advanced Calculus, 2e 74 Y Yang Multivariate Statistical Methods in Quality Management

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140 E X A M I N A T I O N C O P Y R E Q U E S T F O R M McGraw-Hill Education (Asia) 60 Tuas Basin Link Singapore Tel (65) Fax (65) Professors/lecturers who are interested to review titles listed in this catalog for text adoption consideration, please complete this request form and fax to your local McGraw-Hill office (see inside back cover for fax number) or to McGraw- Hill Singapore. Requests for examination copies are subject to approval. McGraw-Hill reserve the right to refuse any requests which do not relate to teaching. Please make copies of this form if necessary. REQUESTED BY Name Room # Department University Address Tel Fax address COMP REQUEST Please indicate ISBN No, Author & Title 1) 2) 3) 4) 5) Course Name Subject Enrolment Commencement Date Decision Date Individual Decision Group Decision Current Text Used

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144 aris.mhhe.com Why ARIS? McGraw-Hill s ARIS (Assessment, Review, and Instruction System) is an electronic homework and course management system designed for greater fl exibility, power, and ease of use than any other system. Whether you are looking for a ready-to-use, straight-out-of-the-box system or one you can customize to fi t your specifi c course needs, ARIS is your smart solution. Flexibility Choose pre-built assignments or create your own custom content and assignments. Administer and share course sections with peers, adjuncts, parttimers and TAs. Integrate ARIS with third-party course management systems, including Blackboard/WebCT. Set Mathematical tolerance standards for accepting alternative versions of a student s correct answer. (This feature is only applicable to ARIS disciplines that utilize algorithmically generated questions, i.e., Chemistry, Physics and Engineering.) Power Assign problems, videos, and other learning aids as homework. Provide students with immediate feedback. Know exactly where your students stand with robust gradebook reporting. Ease of Use Save yourself and your students time and stress by enjoying the industry s most intuitive user interface for electronic homework. Help from our online technical support 24-hours a day, seven days a week. ARIS is available for the subjects in Anatomy & Physiology Astronomy Biology Chemistry Engineering Environmental Science Geography Geology Microbiology Nutrition Physics For More Information Contact your local McGraw-Hill Higher Education sales representatives. Visit aris.mhhe.com & click on the technical support tab. ARIS 1 21/11/07 11:35:52

145 Why MathZone? McGraw-Hill s MathZone is an electronic homework and course management system designed for greater fl exibility, power, and ease of use than any other system. Whether you are looking for a ready-to-use, straight-out-of-the-box system or one you can customize to fi t your specifi c course needs, MathZone is your smart solution. Flexibility Set Mathematical tolerance standards for fl exibility in accepting alternative versions of a student s correct answer. Choose pre-built assignments or create your own custom content and assignments. Use the Print feature to create hard-copy versions of algorithmically generated quizzes and tests to hand out in class. Allow students to print algorithmic assignments; work the math at their own pace using pencil and paper; and enter their answers at a later date. Administer and share course sections with peers, adjuncts, parttimers and TAs. Integrate MathZone with third-party course management systems, including Blackboard/WebCT. Power Know exactly where your students stand with robust gradebook reporting and individualized, assignable assessment powered by ALEKS. Assign problems, videos, and other learning aids as homework. Choose algorithmic problems from an entire library of McGraw-Hill titles. Ease of Use Save yourself and your students time and stress by enjoying the industry s most intuitive user interface for electronic homework. Help from our online technical support 24-hours a day, seven days a week. MathZone is available for the subjects in Mathematics & Statistics For More Information Contact your local McGraw-Hill Higher Education sales representatives. Visit & click on the technical support tab. MathZone 1 21/11/07 11:42:05

146 New Version ISBN-13: MHID: Anatomy &Physiology REVEALED Version 2.0 has the following new features: n System selection menu enables easy switching between systems. n Type-in Google-like search integrated across all body systems quickly locates information. n Separate histology section contains labeled micrographs organized by system. n All-new integumentary system module includes skin and fingernail dissections. n Expanded skeletal system coverage offers images of individual bones, origin/insertion maps, and joint dissections. n Larger viewing area maximizes structure visibility. n Color-coded layer tags distinguish system-specific and reference structures. n Directional labels clarify dissection views. Over 100,000 students are using Anatomy & Physiology REVEALED and recommending it to their friends! To see why, please visit Anatomy &Physiology REVEALED Version 2.0 is a virtual cadaver dissection tool with animations and quizzes to help students succeed in any of the following courses: n Anatomy & Physiology n Human Anatomy n Human Physiology n Human Biology n Nursing n Allied Health (Medical Assisting, Radiology Technician, Surgical Technician, Massage Therapy, Medical Billing, Medical Insurance, Medical Coding) n Public Safety (Paramedic & Emergency Medical Technician) APR2 1 21/11/07 11:34:59

147 / course management systems Course Management Systems like Blackboard and WebCT offer you another way to integrate digital McGraw-Hill content into your class. McGraw- Hill Online Learning Center content is formatted to save you hours of computer inputting. How instructors use it Load McGraw-Hill content into your platform and you will have a fully populated course online. You can then customize the content to match your syllabus. You will also be able to assign specifi c exercises, quizzes, or readings to your students. Grades are posetd automatically to let you know how students are doing as a whole, or individually. Built-in communication allows you to conduct live chats, oversee bulletin board topics, and students who might need more help than others. How students use it Students can visit your online course via the Internet to check the coursework you have assigned. The platform will record the students progress through your course, which will enable you to see where they are studying most. Self-grading quizzes also indicate exactly where students need further review. The platform s communicaiton system encourages student collaboration with features such as live chat rooms, asynchronous bulletin boards, or traditional pageout-cms.indd 1 21/11/07 11:38:01