Varberg 8e-9e-ET Version Table of Contents Comparisons
|
|
- Kory Stafford
- 5 years ago
- Views:
Transcription
1 Varberg 8e-9e-ET Version Table of Contents Comparisons 8th Edition 9th Edition Early Transcendentals 9 Ch Sec Title Ch Sec Title Ch Sec Title 1 PRELIMINARIES 0 PRELIMINARIES 0 PRELIMINARIES 1.1 The Real Number System 0.1 Real Numbers, Logic and Estimation 0.1 Real Numbers, Logic and Estimation 1.2 Decimals, Calculators, Estimation 0.2 Inequalities and Absolute Values 0.2 Inequalities and Absolute Values 1.3 Inequalities 0.3 The Rectangular Coordinate System 0.3 The Rectangular Coordinate System 1.4 Absolute Values, Square Roots & Squares 0.4 Graphs of 0.4 Graphs of 1.5 The Rectangular Coordinate System 0.5 and Their Graphs 1.6 The Straight Line 0.6 Operations on 1 FUNCTIONS 1.7 Graphs of 0.7 The Trigonometric 1.1 and Their Graphs 1.8 Chapter Review 1.2 Operations on 2 FUNCTIONS AND LIMITS 1.3 Exponential and Logarithmic 1 LIMITS 1.4 The Trigonometric & Their Inverses 2.1 and Their Graphs 1.1 Introduction to Limits 1.5 Chapter Review 2.2 Operations on 1.2 Rigorous Study of Limits 2.3 The Trigonometric 1.3 Limit Theorems 2 LIMITS 2.4 Introduction to Limits 1.4 Limits Involving Trigonometric 2.1 Introduction to Limits 2.5 Rigorous Study of Limits 1.5 Limits at Infinity, Infinite Limits 2.2 Rigorous Study of Limits 2.6 Limit Theorems 1.6 Continuity of 2.3 Limit Theorems 2.7 Limits Involving Trigonometric 1.7 Chapter Review 2.4 Limits Involving Transcendental 2.8 Limits at Infinity, Infinite Limits 2.5 Limits at Infinity, Infinite Limits 2.9 Continuity of 2.6 Continuity of 2.1 Chapter Review 2.7 Chapter Review 3 THE DERIVATIVE 2 THE DERIVATIVE 3 THE DERIVATIVE 3.1 Two Problems with One Theme 2.1 Two Problems with One Theme 3.1 Two Problems with One Theme 3.2 The Derivative 2.2 The Derivative 3.2 The Derivative 3.3 Rules for Finding 2.3 Rules for Finding 3.3 Rules for Finding 3.4 of Trigonometric 2.4 of Trigonometric 3.4 of Trigonometric 3.5 The Chain Rule 2.5 The Chain Rule 3.5 The Chain Rule 3.6 Leibniz Notation 2.6 Higher-Order 3.6 Higher-Order 3.7 Higher-Order 2.7 Implicit Differentiation 3.7 Implicit Differentiation 3.8 Implicit Differentiation 2.8 Related Rates 3.8 Related Rates
2 3.9 Related Rates 2.9 Differentials and Approximations 3.9 Differentials and Approximations 3.10 Differentials and Approximations 2.10 Chapter Review 3.10 Chapter Review 3.11 Chapter Review 3.12 Additional Problems 4 APPLICATIONS OF THE DERIVATIVE 3 APPLICATIONS OF THE DERIVATIVE 4 APPLICATIONS OF THE DERIVATIVE 4.1 Maxima and Minima 3.1 Maxima and Minima 4.1 Maxima and Minima 4.2 Monotonicity and Concavity 3.2 Monotonicity and Concavity 4.2 Monotonicity and Concavity 4.3 Local Maxima and Minima 3.3 Local Extrema and Extrema on Open 4.3 Local Extrema and Extrema on Open Intervals Intervals 4.4 More Max-Min Problems 3.4 Graphing Using 4.4 Graphing Using 4.5 Economic Applications 3.6 The Mean Value Theorem for 4.5 The Mean Value Theorem for 4.6 Sophisticated Graphing 3.7 Solving Numerically 4.6 Solving Numerically 4.7 The Mean Value Theorem 3.8 Antiderivatives 4.7 Antiderivatives 4.8 Chapter Review 3.9 Introduction to Differential 4.8 Introduction to Differential 4.9 Additional Problems 5 THE 4 THE DEFINITE 5 THE DEFINITE 5.1 Antiderivatives (Indefinite Integrals) 4.1 Introduction to Area 5.1 Introduction to Area 5.2 Introduction to Differential 4.2 The Definite Integral 5.2 The Definite Integral 5.3 Sums and Sigma Notation 4.3 The 1st Fundamental Theorem of 5.3 The 1st Fundamental Theorem of 5.4 Introduction to Area 4.4 The 2nd Fundamental Theorem of 5.4 The 2nd Fundamental Theorem of 5.5 The Definite Integral and the Method of Substitution and the Method of Substitution 5.6 The 1st Fundamental Theorem of 4.5 The Mean Value Theorem for Integrals & the Use of Symmetry 5.5 The Mean Value Theorem for Integrals & the Use of Symmetry 5.7 The 2nd Fundamental Theorem of 4.6 Numerical Integration 5.6 Numerical Integration Calcu-lus & the Mean Value Th for Integrals 5.8 Evaluating Definite Integrals 4.7 Chapter Review 5.7 Chapter Review 5.9 Chapter Review 5.1 Additional Problems 6 APPLICATIONS OF THE 5 APPLICATIONS OF THE 6 APPLICATIONS OF THE 6.1 The Area of a Plane Region 5.1 The Area of a Plane Region 6.1 The Area of a Plane Region 6.2 Volumes of Solids: Slabs, Disks, Washers 5.2 Volumes of Solids: Slabs, Disks, Washers 6.3 Volumes of Solids of Revolution: Shells 5.3 Volumes of Solids of Revolution: Shells 6.2 Volumes of Solids: Slabs, Disks, Washers 6.3 Volumes of Solids of Revolution: Shells
3 6.4 Length of a Plane Curve 5.4 Length of a Plane Curve 6.4 Length of a Plane Curve 6.5 Work 5.5 Work and Fluid Pressure 6.5 Work and Fluid Pressure 6.6 Moments, Center of Mass 5.6 Moments, Center of Mass 6.6 Moments, Center of Mass 6.7 Chapter Review 5.7 Probability and Random Variables 6.8 Probability and Random Variables 6.8 Additional Problems 5.8 Chapter Review 6.8 Chapter Review 7 TRANSCENDENTAL FUNCTIONS 6 TRANSCENDENTAL FUNCTIONS 7 TECHNIQUES OF INTEGRATION & 7.1 The Natural Logarithm Function 6.1 The Natural Logarithm Function DIFFERENTIAL EQUATIONS 7.2 Inverse and Their 6.2 Inverse and Their 7.1 Basic Integration Rules 7.3 The Natural Exponential Function 6.3 The Natural Exponential Function 7.2 Integration by Parts 7.4 General Exponential & Logarithmic 6.4 General Exponential & Logarithmic 7.3 Some Trigonometric Integrals 7.5 Exponential Growth and Decay 6.5 Exponential Growth and Decay 7.4 Rationalizing Substitutions 7.6 First-Order Linear Differential 6.6 First-Order Linear Differential 7.5 The Method of Partial Fractions 7.7 Inverse Trig & Their 6.7 Approximations for Differential 7.6 Strategies for Integration 7.8 The Hyperbolic & Their 6.8 Inverse Trig & Their 7.7 Growth and Decay Inverses 7.9 Chapter Review 6.9 The Hyperbolic & Their 7.8 First-Order Linear Differential Inverses 7.10 Additional Problems 6.10 Chapter Review 7.9 Approximations for Differential 7.10 Chapter Review 8 TECHNIQUES OF INTEGRATION 7 TECHNIQUES OF INTEGRATION 8.1 Integration by Substitution 7.1 Basic Integration Rules 8.2 Some Trigonometric Integrals 7.2 Integration by Parts 8.3 Rationalizing Substitutions 7.3 Some Trigonometric Integrals 8.4 Integration by Parts 7.4 Rationalizing Substitutions 8.5 Integration of Rational 7.5 The Method of Partial Fractions 8.6 Chapter Review 7.6 Strategies for Integration 7.7 Chapter Review 9 INDETERMINATE FORMS & 8 INDETERMINATE FORMS & 8 INDETERMINATE FORMS & IMPROPER S IMPROPER S IMPROPER S 9.1 Indeterminate Forms of Type 0/0 8.1 Indeterminate Forms of Type 0/0 8.1 Indeterminate Forms of Type 0/0 9.2 Other Indeterminate Forms 8.2 Other Indeterminate Forms 8.2 Other Indeterminate Forms 9.3 Improper Integrals: Infinite Limits of 8.3 Improper Integrals: Infinite Limits of 8.3 Improper Integrals: Infinite Limits of Integration Integration Integration 9.4 Improper Integrals: Infinite Integrands 8.4 Improper Integrals: Infinite Integrands 8.4 Improper Integrals: Infinite Integrands
4 9.5 Chapter Review 8.5 Chapter Review 8.5 Chapter Review 9.5 Additional Problems 10 INFINITE SERIES 9 INFINITE SERIES 9 INFINITE SERIES 10.1 Infinite Sequences 9.1 Infinite Sequences 9.1 Infinite Sequences 10.2 Infinite Series 9.2 Infinite Series 9.2 Infinite Series 10.3 Positive Series: The Integral Test 9.3 Positive Series: The Integral Test 9.3 Positive Series: The Integral Test 10.4 Positive Series: Other Tests 9.4 Positive Series: Other Tests 9.4 Positive Series: Other Tests 10.5 Alternating Series, Absolute 9.5 Alternating Series, Absolute 9.5 Alternating Series, Absolute Convergence, Convergence, Convergence, and Conditional Convergence and Conditional Convergence and Conditional Convergence 10.6 Power Series 9.6 Power Series 9.6 Power Series 10.7 Operations on Power Series 9.7 Operations on Power Series 9.7 Operations on Power Series 10.8 Taylor and Maclaurin Series 9.8 Taylor and Maclaurin Series 9.8 Taylor and Maclaurin Series 10.9 Chapter Review 9.9 The Taylor Approximation to a 9.9 The Taylor Approximation to a Function Function 9.10 Chapter Review 9.10 Chapter Review 11 NUMERICAL METHODS, APPROXIMATIONS 11.1 The Taylor Approximation to a Function 11.2 Numerical Integration 11.3 Solving Numerically 11.4 The Fixed-Point Algorithm 11.5 Approximations for Differential 11.6 Chapter Review TP 11.1 TP 11.2 TP 11.3 Maclaurin Polynomials Numerical Integration Bisection, Newton's, and Fixed-Point Methods 12 CONICS AND POLAR COORDINATES 10 CONICS AND POLAR COORDINATES 10 CONICS AND POLAR COORDINATES 12.1 The Parabola 10.1 The Parabola 10.1 The Parabola 12.2 Ellipses and Hyperbolas 10.2 Ellipses and Hyperbolas 10.2 Ellipses and Hyperbolas 12.3 More on Ellipses and Hyperbolas 10.3 Translation and Rotation of Axes 10.3 Translation and Rotation of Axes 12.4 Translation of Axes 10.4 Parametric Representation of Curves 10.4 Parametric Representation of Curves 12.5 Rotation of Axes 10.5 The Polar Coordinate System 10.5 The Polar Coordinate System 12.6 The Polar Coordinate System 10.6 Graphs of Polar 10.6 Graphs of Polar 12.7 Graphs of Polar 10.7 in Polar Coordinates 10.7 in Polar Coordinates 12.8 in Polar Coordinates 10.8 Chapter Review 10.8 Chapter Review
5 12.9 Chapter Review 13 GEOMETRY IN THE PLANE, VECTORS 13.1 Plane Curves: Parametric Representation 13.2 Vectors in the Plane: Geometric Approach 11 GEOMETRY IN SPACE, VECTORS 11 GEOMETRY IN SPACE, VECTORS 13.3 Vectors in the Plane: Algebraic 11.1 Cartesian Coordinates in Three-Space 11.1 Cartesian Coordinates in Three-Space Approach 13.4 Vector-Valued & Curvilinear 11.2 Vectors 11.2 Vectors Motion 13.5 Curvature and Acceleration 11.3 The Dot Product 11.3 The Dot Product 13.6 Chapter Review 11.4 The Cross Product 11.4 The Cross Product 14 GEOMETRY IN SPACE, VECTORS 11.5 Vector Valued & Curvilinear 11.5 Vector Valued & Curvilinear Motion Motion 11.6 Lines in Three-Space 11.6 Lines in Three-Space 14.1 Cartesian Coordinates in Three-Space 11.7 Curvature and Components of 11.7 Curvature and Components of Acceleration Acceleration 14.2 Vectors in Three Space 11.8 Surfaces in Three Space 11.8 Surfaces in Three Space 14.3 The Cross Product 11.9 Cylindrical and Spherical Coordinates 11.9 Cylindrical and Spherical Coordinates 14.4 Lines and Curves in Three-Space Chapter Review Chapter Review 14.5 Velocity, Acceleration, and Curvature 14.6 Surfaces in Three Space 14.7 Cylindrical and Spherical Coordinates 14.8 Chapter Review 15 THE DERIVATIVE IN n- SPACE 12 DERIVATIVES OF FUNCTIONS OF TWO OR MORE VARIABLES 12 DERIVATIVES OF FUNCTIONS OF TWO OR MORE VARIABLES 15.1 of Two or More Variables 12.1 of Two or More Variables 12.1 of Two or More Variables 15.2 Partial 12.2 Partial 12.2 Partial 15.3 Limits and Continuity 12.3 Limits and Continuity 12.3 Limits and Continuity 15.4 Differentiability 12.4 Differentiability 12.4 Differentiability 15.5 Directional and Gradients 12.5 Directional and Gradients 12.5 Directional and Gradients 15.6 The Chain Rule 12.6 The Chain Rule 12.6 The Chain Rule 15.7 Tangent Planes, Approximations 12.7 Tangent Planes, Approximations 12.7 Tangent Planes, Approximations 15.8 Maxima and Minima 12.8 Maxima and Minima 12.8 Maxima and Minima 15.9 Lagrange's Method 12.9 Lagrange Multipliers 12.9 Lagrange Multipliers Chapter Review Chapter Review Chapter Review 16 THE IN n- 13 MULTIPLE 13 MULTIPLE
6 SPACE INTEGRATION INTEGRATION 16.1 Double Integrals over Rectangles 13.1 Double Integrals over Rectangles 13.1 Double Integrals over Rectangles 16.2 Iterated Integrals 13.2 Iterated Integrals 13.2 Iterated Integrals 16.3 Double Integrals over Nonrectangular 13.3 Double Integrals over Nonrectangular 13.3 Double Integrals over Nonrectangular Regions Regions Regions 16.4 Double Integrals in Polar Coordinates 13.4 Double Integrals in Polar Coordinates 13.4 Double Integrals in Polar Coordinates 16.5 Applications of Double Integrals 13.5 Applications of Double Integrals 13.5 Applications of Double Integrals 16.6 Surface Area 13.6 Surface Area 13.6 Surface Area 16.7 Triple Integrals (Cartesian 13.7 Triple Integrals (Cartesian 13.7 Triple Integrals (Cartesian 16.8 Triple Integrals (Cyl & Sph 13.8 Triple Integrals (Cyl & Sph 13.8 Triple Integrals (Cyl & Sph 16.9 Chapter Review 13.9 Change of Variables in Multiple Integrals 13.9 Change of Variables in Multiple Integrals 13.1 Chapter Review 13.1 Chapter Review 17 VECTOR CALCULUS 14 VECTOR CALCULUS 14 VECTOR CALCULUS 17.1 Vector Fields 14.1 Vector Fields 14.1 Vector Fields 17.2 Line Integrals 14.2 Line Integrals 14.2 Line Integrals 17.3 Independence of Path 14.3 Independence of Path 14.3 Independence of Path 17.4 Green's Theorem in the Plane 14.4 Green's Theorem in the Plane 14.4 Green's Theorem in the Plane 17.5 Surface Integrals 14.5 Surface Integrals 14.5 Surface Integrals 17.6 Gauss's Divergence Theorem 14.6 Gauss's Divergence Theorem 14.6 Gauss's Divergence Theorem 17.7 Stokes's Theorem 14.7 Stokes's Theorem 14.7 Stokes's Theorem 17.8 Chapter Review 14.8 Chapter Review 14.8 Chapter Review 18 DIFFERENTIAL EQUATIONS 18.1 Linear Homogeneous 18.2 Nonhomogeneous 18.3 Applications of Second-Order 18.4 Chapter Review APPENDIX APPENDIX APPENDIX A.1 Mathematical Induction A.1 Mathematical Induction A.1 Mathematical Induction A.2 Proofs of Several Theorems A.2 Proofs of Several Theorems A.2 Proofs of Several Theorems A.3 A Backward Look A.3 A Backward Look A.3 A Backward Look
Calculus. reparation for Calculus, Limits and Their Properties, and Differentiation. Gorman Learning Center (052344) Basic Course Information
Calculus Gorman Learning Center (052344) Basic Course Information Title: Calculus Transcript abbreviations: calcag / calc Length of course: Full Year Subject area: Mathematics ("c") / Calculus UC honors
More informationCALCULUS GARRET J. ETGEN SALAS AND HILLE'S. ' MiIIIIIIH. I '////I! li II ii: ONE AND SEVERAL VARIABLES SEVENTH EDITION REVISED BY \
/ / / ' ' ' / / ' '' ' - -'/-' yy xy xy' y- y/ /: - y/ yy y /'}' / >' // yy,y-' 'y '/' /y , I '////I! li II ii: ' MiIIIIIIH IIIIII!l ii r-i: V /- A' /; // ;.1 " SALAS AND HILLE'S
More informationDENNIS D. BERKEY. Boston University PAUL BLANCHARD. Boston University
i Calculus T H I R D E D I T I O N DENNIS D. BERKEY Boston University PAUL BLANCHARD Boston University SAUNDERS COLLEGE PUBLISHING Harcourt Brace Jovanovich College Publishers Fort Worth Philadelphia San
More informationAP Calculus BC Scope & Sequence
AP Calculus BC Scope & Sequence Grading Period Unit Title Learning Targets Throughout the School Year First Grading Period *Apply mathematics to problems in everyday life *Use a problem-solving model that
More informationAP Calculus BC Syllabus Course Overview
AP Calculus BC Syllabus Course Overview Textbook Anton, Bivens, and Davis. Calculus: Early Transcendentals, Combined version with Wiley PLUS. 9 th edition. Hoboken, NJ: John Wiley & Sons, Inc. 2009. Course
More information9TH EDITION. George B. Thomas, Jr. Massachusetts Institute of Technology. Ross L. Finney. With the collaboration of Maurice D.
9TH EDITION Calculus and Analytic Geometry George B. Thomas, Jr. Massachusetts Institute of Technology Ross L. Finney With the collaboration of Maurice D. Weir Naval Postgraduate School ^ Addison-Wesley
More informationWest Windsor-Plainsboro Regional School District AP Calculus BC Grades 9-12
West Windsor-Plainsboro Regional School District AP Calculus BC Grades 9-12 Unit 1: Limits and Continuity What is a limit? Definition of limit, continuous, Sandwich Theorem, Intermediate Value Theorem
More informationAP Calculus BC Syllabus
AP Calculus BC Syllabus Course Overview and Philosophy This course is designed to be the equivalent of a college-level course in single variable calculus. The primary textbook is Calculus, 7 th edition,
More informationCHAPTER 1 Prerequisites for Calculus 2. CHAPTER 2 Limits and Continuity 58
CHAPTER 1 Prerequisites for Calculus 2 1.1 Lines 3 Increments Slope of a Line Parallel and Perpendicular Lines Equations of Lines Applications 1.2 Functions and Graphs 12 Functions Domains and Ranges Viewing
More informationB L U E V A L L E Y D I S T R I C T C U R R I C U L U M & I N S T R U C T I O N Mathematics AP Calculus BC
B L U E V A L L E Y D I S T R I C T C U R R I C U L U M & I N S T R U C T I O N Mathematics AP Calculus BC Weeks ORGANIZING THEME/TOPIC CONTENT CHAPTER REFERENCE FOCUS STANDARDS & SKILLS Analysis of graphs.
More informationCalculus from Graphical, Numerical, and Symbolic Points of View, 2e Arnold Ostebee & Paul Zorn
Calculus from Graphical, Numerical, and Symbolic Points of View, 2e Arnold Ostebee & Paul Zorn Chapter 1: Functions and Derivatives: The Graphical View 1. Functions, Calculus Style 2. Graphs 3. A Field
More informationRobert Seeley. University of Massachusetts at Boston. ini HARCOURT BRACE JOVANOVICH, PUBLISHERS. and its subsidiary, Academic Press
L MMH^^S^^^K Robert Seeley University of Massachusetts at Boston ini Qf HARCOURT BRACE JOVANOVICH, PUBLISHERS and its subsidiary, Academic Press San Diego New York Chicago Austin Washington, D.C. London
More informationCalculus Early Transcendentals
Calculus Early Transcendentals 978-1-63545-101-6 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Gilbert Strang, Massachusetts
More informationCalculus I
Calculus I 978-1-63545-038-5 To learn more about all our offerings Visit Knewton.com/highered Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Gilbert Strang, Massachusetts Institute
More informationMathematica for Rogawski's Calculus
Mathematica for Rogawski's Calculus 2nd Edition 2010 Based on Mathematica Version 7 Abdul Hassen, Gary Itzkowitz, Hieu D. Nguyen, Jay Schiffman W. H. Freeman and Company New York Copyright 2010 Table of
More informationBusiness Calculus
Business Calculus 978-1-63545-025-5 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Senior Contributing Authors: Gilbert
More informationHarbor Creek School District
Unit 1 Days 1-9 Evaluate one-sided two-sided limits, given the graph of a function. Limits, Evaluate limits using tables calculators. Continuity Evaluate limits using direct substitution. Differentiability
More informationSingle Variable Calculus, Early Transcendentals
Single Variable Calculus, Early Transcendentals 978-1-63545-100-9 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax
More informationTopics Covered in Calculus BC
Topics Covered in Calculus BC Calculus BC Correlation 5 A Functions, Graphs, and Limits 1. Analysis of graphs 2. Limits or functions (including one sides limits) a. An intuitive understanding of the limiting
More informationUNIVERSITY OF NORTH ALABAMA MA 110 FINITE MATHEMATICS
MA 110 FINITE MATHEMATICS Course Description. This course is intended to give an overview of topics in finite mathematics together with their applications and is taken primarily by students who are not
More informationHUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK
HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE / SUBJECT A P C a l c u l u s ( B C ) KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS Limits and Continuity Derivatives
More informationIndex. Excerpt from "Calculus" 2013 AoPS Inc. Copyrighted Material INDEX
Index #, 2 \, 5, 4 [, 4 - definition, 38 ;, 2 indeterminate form, 2 22, 24 indeterminate form, 22 23, see Euler s Constant 2, 2, see infinity, 33 \, 6, 3, 2 3-6-9 triangle, 2 4-dimensional sphere, 85 45-45-9
More informationCALCULUS SALAS AND HILLE'S REVISED BY GARRET J. ETGEI ONE VARIABLE SEVENTH EDITION ' ' ' ' i! I! I! 11 ' ;' 1 ::: T.
' ' ' ' i! I! I! 11 ' SALAS AND HILLE'S CALCULUS I ;' 1 1 ONE VARIABLE SEVENTH EDITION REVISED BY GARRET J. ETGEI y.-'' ' / ' ' ' / / // X / / / /-.-.,
More informationCalculus. Preliminary Edition. Robert Decker. Dale Varberg. Prentice Hall, Upper Saddle River, New Jersey UNIVERSITY OF HARTFORD
Calculus Preliminary Edition Robert Decker UNIVERSITY OF HARTFORD Dale Varberg HAML1NE UNIVERSITY Prentice Hall, Upper Saddle River, New Jersey 07458 Annotated Table of Contents.For your convenience, we
More informationMATHEMATICS AP Calculus (BC) Standard: Number, Number Sense and Operations
Standard: Number, Number Sense and Operations Computation and A. Develop an understanding of limits and continuity. 1. Recognize the types of nonexistence of limits and why they Estimation are nonexistent.
More informationAdvanced Placement Calculus II- What Your Child Will Learn
Advanced Placement Calculus II- What Your Child Will Learn Upon completion of AP Calculus II, students will be able to: I. Functions, Graphs, and Limits A. Analysis of graphs With the aid of technology,
More informationMULTIVARIABLE CALCULUS, LINEAR ALGEBRA, AND DIFFERENTIAL EQUATIONS
T H I R D E D I T I O N MULTIVARIABLE CALCULUS, LINEAR ALGEBRA, AND DIFFERENTIAL EQUATIONS STANLEY I. GROSSMAN University of Montana and University College London SAUNDERS COLLEGE PUBLISHING HARCOURT BRACE
More informationCorrelation with College Board Advanced Placement Course Descriptions
Correlation with College Board Advanced Placement Course Descriptions The following tables show which sections of Calculus: Concepts and Applications cover each of the topics listed in the 2004 2005 Course
More informationSaxon Calculus Scope and Sequence
hmhco.com Saxon Calculus Scope and Sequence Foundations Real Numbers Identify the subsets of the real numbers Identify the order properties of the real numbers Identify the properties of the real number
More informationCurriculum and Pacing Guide Mr. White AP Calculus AB Revised May 2015
Curriculum and Pacing Guide Mr. White AP Calculus AB Revised May 2015 Students who successfully complete this course will receive one credit AP Calculus AB and will take the AP Calculus AB Exam. 1. The
More informationCALCULUS. C. HENRY EDWARDS The University of Georgia, Athens. DAVID E. PENNEY The University of Georgia, Athens. Prentice Hall
CALCULUS C. HENRY EDWARDS The University of Georgia, Athens DAVID E. PENNEY The University of Georgia, Athens Prentice Hall Pearson Education International CONTENTS ABOUT THE AUTHORS PREFACE XI xiii CHAPTER
More informationGLOBAL EDITION. Thomas. CALCULUS Early Transcendentals Thirteenth Edition in SI Units
GLOBAL EDITION Thomas CALCULUS Early Transcendentals Thirteenth Edition in SI Units Editor-in-Chief: Deirdre Lynch Senior Acquisitions Editor: William Hoffman Assistant Acquisitions Editor, Global Editions:
More informationDepartment: Course Description: Course Competencies: MAT 201 Calculus III Prerequisite: MAT Credit Hours (Lecture) Mathematics
Department: Mathematics Course Description: Calculus III is the final course in the three-semester sequence of calculus courses. This course is designed to prepare students to be successful in Differential
More informationMATHEMATICS RESOURCE MANUAL
Curriculum Enhancement Center (CEC) MATHEMATICS RESOURCE MANUAL 2013-2014 TABLE OF CONTENTS Algebra... 1 Introductory Algebra... 1 College Algebra... 2 Pre-calculus & Calculus... 4 Pre-calculus... 4 Calculus...
More informationCALCULUS SEVENTH EDITION. Indiana Academic Standards for Calculus. correlated to the CC2
CALCULUS SEVENTH EDITION correlated to the Indiana Academic Standards for Calculus CC2 6/2003 2002 Introduction to Calculus, 7 th Edition 2002 by Roland E. Larson, Robert P. Hostetler, Bruce H. Edwards
More informationSyllabus for BC Calculus
Syllabus for BC Calculus Course Overview My students enter BC Calculus form an Honors Precalculus course which is extremely rigorous and we have 90 minutes per day for 180 days, so our calculus course
More informationNotes about changes to Approved Syllabus # 43080v2
Notes about changes to Approved Syllabus # 43080v2 1. An update to the syllabus was necessary because of a county wide adoption of new textbooks for AP Calculus. 2. No changes were made to the Course Outline
More informationCalculus BC
Brief Description of Course Calculus BC 2007-2008 This course covers the topics limits, continuity, differentiation, antidifferentiation, definite integrals, techniques of integration, series and sequences,
More informationBC Calculus Syllabus. Assessment Students are assessed in the following ways:
BC Calculus Syllabus Assessment Students are assessed in the following ways: Unit tests Project Problem Sessions Weekly assignments done outside of class that consist of problems from released Quizzes
More informationGreenwich Public Schools Mathematics Curriculum Objectives. Calculus
Mathematics Curriculum Objectives Calculus June 30, 2006 NUMERICAL AND PROPORTIONAL REASONING Quantitative relationships can be expressed numerically in multiple ways in order to make connections and simplify
More informationWellston City Schools Calculus Curriculum Calendar
Wellston City Schools Calculus 2006-2007 Curriculum Calendar Grading Period 1:Week 1: Review 11 th grade standards Learn to represent functions using: *Words *Tables of values *Graphs *Formulas Present
More informationMATH Calculus of One Variable, Part I Spring 2019 Textbook: Calculus. Early Transcendentals. by Briggs, Cochran, Gillett, Schulz.
MATH 1060 - Calculus of One Variable, Part I Spring 2019 Textbook: Calculus. Early Transcendentals. by Briggs, Cochran, Gillett, Schulz. 3 rd Edition Testable Skills Unit 3 Important Students should expect
More informationWilliamsville C.U.S.D. #15 Mathematics Curriculum
MATHEMATICS CURRICULUM AP CALCULUS 1 Program Title: A.P. Calculus Williamsville C.U.S.D. #15 Mathematics Curriculum Program Description: Program Content: AP Calculus is a full-year course. This course
More informationAP Calculus AB Syllabus
AP Calculus AB Syllabus Course Overview and Philosophy This course is designed to be the equivalent of a college-level course in single variable calculus. The primary textbook is Calculus of a Single Variable,
More informationAP Calculus BC. Functions, Graphs, and Limits
AP Calculus BC The Calculus courses are the Advanced Placement topical outlines and prepare students for a successful performance on both the Advanced Placement Calculus exam and their college calculus
More informationAP Calculus BC. Course Description:
AP Calculus BC Course Description: The two fundamental problems of Calculus include: 1) finding the slope of the tangent to a curve, determined by the derivative, and 2) finding the area of a region under
More informationAP Calculus BC Lesson Outlines Third Quarter: January 5 March 11, 2016
Jan. 6 The Calculus of Integration CH 4.3 (Review from before the break) Riemann Sums, Definite Integrals CH 4.4 (Review from before the break) First Fundamental Theorem CH 4.4 Mean Value Theorem for Integrals
More information*AP Calculus BC (#9550)
AASD MATHEMATICS CURRICULUM *AP Calculus BC (#9550) Description This course is an in-depth development and extension of the concepts of calculus that were introduced to the students in Introduction to
More informationMTH 173 Calculus with Analytic Geometry I and MTH 174 Calculus with Analytic Geometry II
MTH 173 Calculus with Analytic Geometry I and MTH 174 Calculus with Analytic Geometry II Instructor: David H. Pleacher Home Phone: 869-4883 School Phone: 662-3471 Room: 212 E-Mail Address: Pleacher.David@wps.k12.va.us
More informationPrentice Hall. Calculus: Graphical, Numerical, Algebraic National Advanced Placement Course Descriptions for Calculus BC.
Prentice Hall Grades 9-12 Calculus: Graphical, Numerical, Algebraic 2007 C O R R E L A T E D T O National Advanced Placement Course Descriptions for Calculus BC Grades 9-12 I Functions, Graphs, and Limits
More informationMATH Final Review
MATH 1592 - Final Review 1 Chapter 7 1.1 Main Topics 1. Integration techniques: Fitting integrands to basic rules on page 485. Integration by parts, Theorem 7.1 on page 488. Guidelines for trigonometric
More informationAcademic Content Standard MATHEMATICS. MA 51 Advanced Placement Calculus BC
Academic Content Standard MATHEMATICS MA 51 Advanced Placement Calculus BC Course #: MA 51 Grade Level: High School Course Name: Advanced Placement Calculus BC Level of Difficulty: High Prerequisites:
More informationCurriculum Map: Mathematics
Curriculum Map: Mathematics Course: Calculus Grade(s): 11/12 Unit 1: Prerequisites for Calculus This initial chapter, A Prerequisites for Calculus, is just that-a review chapter. This chapter will provide
More informationI. AP Calculus AB Major Topic: Functions, Graphs, and Limits
A.P. Calculus AB Course Description: AP Calculus AB is an extension of advanced mathematical concepts studied in Precalculus. Topics include continuity and limits, composite functions, and graphing. An
More informationSTATE COUNCIL OF EDUCATIONAL RESEARCH AND TRAINING TNCF DRAFT SYLLABUS.
STATE COUNCIL OF EDUCATIONAL RESEARCH AND TRAINING TNCF 2017 - DRAFT SYLLABUS Subject :Mathematics Class : XI TOPIC CONTENT Unit 1 : Real Numbers - Revision : Rational, Irrational Numbers, Basic Algebra
More informationUnit 1: Pre-Calculus Review (2 weeks) A. Lines 1. Slope as rate of change 2. Parallel and perpendicular lines 3. Equations of lines
Calculus AB Syllabus AB Course Outline The following is an outline of the topics we will cover and a typical sequence in which those topics will be covered. The time spent is only an estimate of the average
More informationMATH 101 COURSE SYLLABUS
TOPICS OF THE COURSE 2. LIMITS AND RATE OF CHANGE : (8 Hours) Introduction to Limits, Definition of Limit, Techniques for Finding Limits, Limits Involving Infinity, Continuous functions. 3. THE DERIVATIVE
More informationAP Calculus B C Syllabus
AP Calculus B C Syllabus Course Textbook Finney, Ross L., et al. Calculus: Graphical, Numerical, Algebraic. Boston: Addison Wesley, 1999. Additional Texts & Resources Best, George, Stephen Carter, and
More informationGeneral Calculus II. Course Text. Course Description. Course Objectives. Course Prerequisites. Important Terms
Course Text General Calculus II Students may select any one of these texts aligned to this course: Larson, R., Hostetler, R. P., and Edwards, B. Calculus Early Transcendental Functions, 3rd edition. Houghton
More informationMATHEMATICS COMPREHENSIVE EXAM: IN-CLASS COMPONENT
MATHEMATICS COMPREHENSIVE EXAM: IN-CLASS COMPONENT The following is the list of questions for the oral exam. At the same time, these questions represent all topics for the written exam. The procedure for
More informationMEDFORD HIGH SCHOOL COURSE SYLLABUS. Advanced Placement Calculus AB
MEDFORD HIGH SCHOOL COURSE SYLLABUS Department: Course Title: Mathematics Advanced Placement Calculus AB Level and/or Grade: AP; Grade 11/12 Prerequisite: B+ or better in Honors Pre-Calculus or teacher
More informationTopic Outline AP CALCULUS AB:
Topic Outline AP CALCULUS AB: Unit 1: Basic tools and introduction to the derivative A. Limits and properties of limits Importance and novelty of limits Traditional definitions of the limit Graphical and
More informationLearning Objectives for Math 166
Learning Objectives for Math 166 Chapter 6 Applications of Definite Integrals Section 6.1: Volumes Using Cross-Sections Draw and label both 2-dimensional perspectives and 3-dimensional sketches of the
More informationCHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE CALCULUS BC ADVANCED PLACEMENT
CHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE CALCULUS BC ADVANCED PLACEMENT Course Number 5125 Department Mathematics Prerequisites Successful completion of Honors Pre-Calculus or Trigonometry
More informationHUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK
HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE / SUBJECT A P C a l c u l u s ( A B ) KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS Limits and Continuity Derivatives
More informationStandards for AP Calculus AB
I. Functions, Graphs and Limits Standards for AP Calculus AB A. Analysis of graphs. With the aid of technology, graphs of functions are often easy to produce. The emphasis is on the interplay between the
More informationPETERS TOWNSHIP HIGH SCHOOL
PETERS TOWNSHIP HIGH SCHOOL COURSE SYLLABUS: AP CALCULUS BC Course Overview and Essential Skills AP Calculus BC is a challenging class which will prepare students to take the AP Calculus BC Exam in May
More informationRadnor High School Course Syllabus Advanced Placement Calculus BC 0460
Radnor High School Modified April 24, 2012 Course Syllabus Advanced Placement Calculus BC 0460 Credits: 1 Grades: 11, 12 Weighted: Yes Prerequisite: Recommended by Department Length: Year Format: Meets
More informationMIDLAND ISD ADVANCED PLACEMENT CURRICULUM STANDARDS AP CALCULUS BC
Curricular Requirement 1: The course teaches all topics associated with Functions, Graphs, and Limits; Derivatives; Integrals; and Polynomial Approximations and Series as delineated in the Calculus BC
More informationTrigonometry Self-study: Reading: Red Bostock and Chandler p , p , p
Trigonometry Self-study: Reading: Red Bostock Chler p137-151, p157-234, p244-254 Trigonometric functions be familiar with the six trigonometric functions, i.e. sine, cosine, tangent, cosecant, secant,
More informationLectures. Section Theoretical (Definitions & Theorem) Examples Exercises HW
King Abdul-Aziz University Academic year 1437-1438 Department of Mathematics 2016-2017 Math 110 (S & E) Syllabus / Term (1) Book: Calculus Early Transcendentals by James Stewart 7 th edition Lectures Chapter
More informationAlgebra 2. Chapter 4 Exponential and Logarithmic Functions. Chapter 1 Foundations for Functions. Chapter 3 Polynomial Functions
Algebra 2 Chapter 1 Foundations for Chapter 2 Quadratic Chapter 3 Polynomial Chapter 4 Exponential and Logarithmic Chapter 5 Rational and Radical Chapter 6 Properties and Attributes of Chapter 7 Probability
More informationFinite Mathematics and Calculus
Finite Mathematics and Calculus 978-1-63545-027-9 To learn more about all our offerings Visit Knewton.com/highered Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Senior Contributing
More informationPrentice Hall Calculus: Graphical, Numerical, and Algebraic AP* Student Edition 2007
Prentice Hall Calculus: Graphical, Numerical, and Algebraic AP* Student Edition 2007 C O R R E L A T E D T O AP Calculus AB Standards I Functions, Graphs, and Limits Analysis of graphs. With the aid of
More informationAP Calculus BC Syllabus
Instructor: Jennifer Manzano-Tackett jennifer-manzano@scusd.edu (916) 395-5090 Ext. 506308 www.mt-jfk.com AP Calculus BC Syllabus Textbook: Calculus, 6th edition, by Larson, Hostetler and Edwards: Houghton
More informationAP Calculus BC Course Syllabus. Lyn Davies. Denver School of the Arts
AP Calculus BC 2016-17 Course Syllabus Lyn Davies Denver School of the Arts This syllabus was developed according to scoring guidelines offered by the AP Course Audit rubric for AP Calculus AB with BC
More informationAP Calculus BC. Course Overview. Course Outline and Pacing Guide
AP Calculus BC Course Overview AP Calculus BC is designed to follow the topic outline in the AP Calculus Course Description provided by the College Board. The primary objective of this course is to provide
More informationAP Calculus BC Syllabus
AP Calculus BC Syllabus Course Overview AP Calculus BC is the study of the topics covered in college-level Calculus I and Calculus II. This course includes instruction and student assignments on all of
More informationTake-Home Exam 1: pick up on Thursday, June 8, return Monday,
SYLLABUS FOR 18.089 1. Overview This course is a review of calculus. We will start with a week-long review of single variable calculus, and move on for the remaining five weeks to multivariable calculus.
More informationMATH 233 Multivariable Calculus
South Central College MATH 233 Multivariable Calculus Course Outcome Summary Course Information Description Multivariable Calculus extends the notions of Calculus I and Calculus II to functions of more
More informationHow do limits demonstrate the dynamic nature of Calculus? How will the three processes confirm the uniqueness of a limit?
WDHS Curriculum Map: created by Andrea Kappre Course: Honors Calculus March 2012 Time Interval/ Content Standards/ Strands Essential Questions Skills Assessment Unit 1: Limits Sections 2-1 -2-5 F-IF.7.
More informationRegion 16 Board of Education AP Calculus Curriculum 2008
Region 16 Board of Education AP Calculus Curriculum 2008 Course Description This course develops students understanding of the concepts of calculus and provides experience with its methods and applications.
More informationUNDERSTANDING ENGINEERING MATHEMATICS
UNDERSTANDING ENGINEERING MATHEMATICS JOHN BIRD WORKED SOLUTIONS TO EXERCISES 1 INTRODUCTION In Understanding Engineering Mathematic there are over 750 further problems arranged regularly throughout the
More informationAdvanced Placement Calculus I - What Your Child Will Learn
Advanced Placement Calculus I - What Your Child Will Learn I. Functions, Graphs, and Limits A. Analysis of graphs With the aid of technology, graphs of functions are often easy to produce. The emphasis
More informationQuick Review Sheet for A.P. Calculus Exam
Quick Review Sheet for A.P. Calculus Exam Name AP Calculus AB/BC Limits Date Period 1. Definition: 2. Steps in Evaluating Limits: - Substitute, Factor, and Simplify 3. Limits as x approaches infinity If
More informationSyllabus for AP Calculus BC
Syllabus for AP Calculus BC Underlying Focus: The emphasis in AP Calculus is on an intuitive understanding of all concepts and the interplay between the geometric and analytic information and on the use
More informationCalculus I Brain Summary Malcolm E. Hays 28 October 2002
Calculus I Brain Summary Malcolm E. Hays 28 October 2002 This is a list of all the thoughts located in the Calculus I Brain. Each thought is followed by a statement indicating the content associated by
More informationAP Calculus BC
Limits and Their Properties Limits and their meaning. How are limits used in Calculus? Symmetry Differentiability Continuity How does symmetry effect differentiability? Symmetry and Differentiabili ty/
More informationCourse Outline. 2. Vectors in V 3.
1. Vectors in V 2. Course Outline a. Vectors and scalars. The magnitude and direction of a vector. The zero vector. b. Graphical vector algebra. c. Vectors in component form. Vector algebra with components.
More informationCalculus Terminology
Calculus Terminology Absolute Convergence Absolute Maximum Absolute Minimum Absolutely Convergent Acceleration Alternating Series Alternating Series Remainder Alternating Series Test Analytic Methods Annulus
More informationMaple in Calculus. by Harald Pleym. Maple Worksheets Supplementing. Edwards and Penney. CALCULUS 6th Edition Early Transcendentals - Matrix Version
Maple in Calculus by Harald Pleym Maple Worksheets Supplementing Preface Edwards and Penney CALCULUS 6th Edition Early Transcendentals - Matrix Version These worksheets provide a comprehensive Maple supplement
More informationBurlington County Institute of Technology Curriculum Document
Burlington County Institute of Technology Curriculum Document Course Title: Calculus Curriculum Area: Mathematics Credits: 5 Credits per course Board Approved: June 2017 Prepared by: Jessica Rista, John
More informationAlgebra II Learning Targets
Chapter 0 Preparing for Advanced Algebra LT 0.1 Representing Functions Identify the domain and range of functions LT 0.2 FOIL Use the FOIL method to multiply binomials LT 0.3 Factoring Polynomials Use
More informationStudent Learning Outcomes MATH 100: BEGINNING ALGEBRA
Student Learning Outcomes MATH 100: BEGINNING ALGEBRA I. Real Numbers 1. Perform the basic operations on fractions, reduce, and convert to decimals and percents. 2. Define, classify, and graph real numbers.
More informationMyMathLab for School Precalculus Graphical, Numerical, Algebraic Common Core Edition 2016
A Correlation of MyMathLab for School Precalculus Common Core Edition 2016 to the Tennessee Mathematics Standards Approved July 30, 2010 Bid Category 13-090-10 , Standard 1 Mathematical Processes Course
More informationCalculus Honors Curriculum Guide Dunmore School District Dunmore, PA
Calculus Honors Dunmore School District Dunmore, PA Calculus Honors Prerequisite: Successful completion of Trigonometry/Pre-Calculus Honors Major topics include: limits, derivatives, integrals. Instruction
More informationWHITTIER UNION HIGH SCHOOL DISTRICT Whittier, California. July, 1984 COURSE OF STUDY COURSE DESCRIPTION
WHITTIER UNION HIGH SCHOOL DISTRICT Whittier, California July, 1984 COURSE OF STUDY Course Title: Department: MATH ANALYSIS - HONORS MATHEMATICS Grade Levels: 11-12 COURSE DESCRIPTION This semester is
More informationHigh School Mathematics Honors PreCalculus
High School Mathematics Honors PreCalculus This is an accelerated course designed for the motivated math students with an above average interest in mathematics. It will cover all topics presented in Precalculus.
More informationAlgebra II. A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions.
Standard 1: Relations and Functions Students graph relations and functions and find zeros. They use function notation and combine functions by composition. They interpret functions in given situations.
More informationPre-Calculus and Trigonometry Capacity Matrix
Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational expressions Solve polynomial equations and equations involving rational expressions Review Chapter 1 and their
More information