Math 107 Fall 2007 Course Update and Cumulative Homework List
|
|
- Raymond West
- 5 years ago
- Views:
Transcription
1 Math 107 Fall 2007 Course Update and Cumulative Homework List Date: 8/27 Sections: 5.4 Log: Review of course policies. The mean value theorem for definite integrals. The fundamental theorem of calculus, parts I and II. Assignment: Read about total area (last two pages of section 5.4) and do problems odd. Date: 8/29 Sections: 5.5 Log: Indefinite and definite integrals by substitution. Assignment: Section 5.5, problems odd, 55, 57, 67. Date: 8/31 Sections: 7.1 Log: Integration by parts (IBP). Assignment: Section 7.1, 1-23 odd, 43, 45. Review: Section 5.5, odd. Notes: Quiz 1 will be given on Thursday, 9/6. It will cover sections 5.5 and 7.1. Date: 9/5 Sections: 7.2 Log: Trigonometric integrals. Assignment: Section 7.2, 5-37 odd. Read example 7. Date: 9/7 Sections: 7.3 Log: Trigonometric substitutions. Assignment: Section 7.3, 1-23 odd, 29, 31. Notes: Quiz 2, over 7.3 and 7.4, will be given on Thursday, 9/13. Date: 9/10 Sections: 7.4 Log: The partial fraction decomposition of a rational function. Assignment: Section 7.4, 1-23 odd, 29 35, 50.
2 Date: 9/12 Sections: 7.5 Log: Tables of integrals, computer algebra systems and special functions. Assignment: Section 7.5, 1, 9, odd, 29, 45, 50. Date: 9/14 Sections: 7.6 Log: Numerical integration. The trapezoid rule, Simpson s rule. Error estimates. Assignment: In section 7.6, read examples 3 and 4, and do problems odd, odd. Notes: Quiz 3, over 7.7, will be given on Thursday, 9/20. Date: 9/17 Sections: 7.7 Log: Improper integrals. Integrals over unbounded domains. Integrands with vertical asymptotes. The comparison and limit comparison tests. Assignment: In section 7.7, read the statement of the limit comparison test along with example 8. Do problems 1-21 odd, odd, 66. Notes: Quiz 3, over 7.7, will be given on Thursday, 9/20. Date: 9/19 Sections: 6.1, 6.2 Log: Finding the volume of a solid of revolution by slicing, and by the method of cylindrical shells. Assignment: Section 6.1, problems 25, 27, 39, 43, 49. Section 6.2, problems odd, 27, 29. Review: Section 7.7, problems odd. Date: 9/21 Sections: 6.3 Log: The length of a plane curve. Derivation of the arclength integral for parametric curves and for graphs of functions. The improper arclength integral for an infinite spiral. Assignment: Section 6.3, problems 5-13 odd, 21. Review: Section 7.r (chapter 7 review) problem, 9-27 odd, odd. Notes: The paper gateway exam will be given on Thursday, 9/27.
3 Date: 9/24 Sections: 6.5 Log: Exponential growth and decay. Differential equations, initial conditions and initial value problems. Malthus population model, radiocative decay, Newton s law of cooling. Separable differential equations. Assignment: Section 6.5, problems 1, 3, 7, 9, 19, 21, 25, 31, 35, 41. Review: Section 7.r (chapter 7 review) odd. Date: 9/26 Sections: 6.6 Log: Work integrals. Hooke s law. Pumping liquids. Assignment: In section 6.6, read example 3 and do problems 3-11, 19, 23, 35. Review: Section 7.r (chapter 7 review) odd, even. Date: 9/28 Sections: 6.7 Log: Mass, moments, center of mass. Computing the center of mass of a lamina. Assignment: Section 6.7, problems 5, 7, 11, 15, 17. Date: 10/1 Sections: 8.1 Log: Sequences. Convergent and divergent sequences. The sandwich theorem. Using L Hôpital s rule to compute sequence limtis. Recursive sequences, the Fibonacci numbers. Upper bound, least upper bound and nondecreasing sequences. Assignment: In section 8.1, read theorems 1 and 3, and examples 5, 6 and 9. Do problems odd, 97 and 99. Notes: Exam 1 will be given on Thursday, 10/4. Students may retake the Gateway exam in Avery 018 and Burnett 127. Date: 10/3 Log: Review. Date: 10/5 Sections: 8.2 Log: Infinite series. Partial sums. Convergence and divergence of series. The nth term test for divergence. Geometric series. Telescoping series. Assignment: In section 8.2, do problems 7-33 odd, 37 and 39.
4 Date: 10/8 Sections: 8.3 Log: The integral test. Divergence of the harmonic series. Convergence (divergence) of the p-series for p > 1 (p 1). Assignment: In section 8.3, do problems 1-23 odd, 39, 41. Notes: Quiz 4, over 8.2 and 8.3, will be given on Thursday, 10/11. Date: 10/10 Sections: 8.4 Log: The comparison and limit comparison tests. Assignment: In section 8.4, do problems 1-29 odd and read example 3. Notes: The project will be distributed on Thursday, 10/11. You may work alone, or in groups of at most three. Date: 10/12 Sections: 8.5 Log: Absolute and conditional convergence. The ratio and root tests. Assignment: In section 8.5, do problems 1-25 odd, 39, 41. Notes: Quiz 5, over 8.5 and 8.6, will be given on Thursday, 10/18. Date: 10/15 Sections: 8.6 Log: Alternating series. The alternating series test. The conditional convergence of the alternating p-series for 0 < p 1, of the alternating harmonic series in particular. Assignment: In section 8.6, do problems 1-23 odd. Date: 10/17 Log: Review of series. Assignment: In section 8.r, do problems 9-39 odd. Date: 10/19 Sections: 8.7 Log: Power series. Interval and radius of convergence. Term-by-term differentiation and integration of power series. Assignment: In section 8.7, read examples 4, 5 and 6, and do problems 1-15 odd and odd. Notes: There will be no quiz next week.
5 Date: 10/24 Sections: 8.8 Log: Taylor series, Taylor coefficients, Taylor polynomials. Assignment: In 8.8 do 3-7 odd, 33, 35, 37. Date: 10/26 Sections: 8.8 Log: Taylor series and polynomials for exp, sin and cos. Approximation by Taylor polynomials. Assignment: In 8.8 do problems 9-27 odd. Notes: Quiz 6, over 8.8 and 8.9, will be given on Thursday, 11/1. Date: 10/29 Sections: 8.9 Log: Convergence of Taylor series and and approximation by Taylor polynomials. Estimating error in Taylor polynomial approximation. Assignment: In 8.9 do problems 9-23 odd. Date: 10/31 Sections: 8.9 Log: Applications of Taylor series: Approximating integrals, the Coates-Euler formula. Computing Taylor series for certain functions (e.g. erf, arctan, Si). Assignment: In 8.9 do problems 25, 49, 50. In 8.r, do odd. Date: 11/2 Sections: 8.10 Log: Binomial series for f(x) = (1 + x) m. Assignment: In 8.10 do problems 1-19 odd. Review: 8.r, problems 19-69, odd. Notes: Exam 2, covering sections , will be given on Thursday, 11/8. Date: 11/5 Log: Outline of exam material. Review of series. Date: 11/7 Log: Review of series.
6 Date: 11/9 Sections: 9.1 Log: Polar coordinates. Translating rectangular into polar coordinates and vice-versa. Equations in polar coordinates. Assignment: In 9.1 do problems 1-17 odd, odd and odd. Notes: Quiz 7, over sections 9.1 and 9.2, will be given on Thursday, 11/15. Date: 11/12 Sections: 9.2 Log: Graphing functions of the form r = f(θ). The slope of a polar graph. Symmetries of polar graphs. The cardioid and the lemniscate. Assignment: In 9.2 do problems 5-25 odd. Read example 2. Date: 11/14 Sections: 9.3 Log: Arclength and area in polar coordinates. Assignment: In 9.3 do problems 3-9 odd and odd. Date: 11/16 Sections: 10.1 Log: Points, distances, equations and ineqaulities in three-dimensional space. The error estimate in project problem 5. Assignment: Section 10.1, problems 1-27 odd, 31 and 35. Date: 11/19 Sections: 10.2 Log: Two and three-dimensional vectors. Scalars and vectors. The component form of a vector. The magnitude of a vector. The zero vector. Vector addition and scalar multiplication. Assignment: Section 10.2, problems 1-15 odd.
7 Date: 11/26 Sections: 10.3 Log: The standard basis vectors ı, j and k. Unit vectors. The dot product of two vectors. The geometric definition of the dot product. Using the dot product to find angles between vectors. Orthogonal vectors. Projections and components. Assignment: In 10.3 do problems 1-11 odd and 15. Notes: Quiz 8, over section 10.3, will be given on Thursday, 11/29. Date: 11/28 Sections: 10.5 Log: Lines in space. Parametric equations for the line through a point P in the direction v. Parametric equations for the line and line segment joining two points. Parametric equations for the line through a point P parallel to a given line. Assignment: In 10.5 do problems 1-7 odd, 11 and 13. Read examples 3 and 4. Date: 11/30 Sections: 11.1 Log: Two- and three-dimensional vector-valued functions. Sketching the oriented curve traced by a vector-valued function. Speed, velocity and acceleration. Assignment: In 11.1, do problems 1-13 odd. Notes: Exam 3, over sections , , 10.5, 11.1 and 11.2, will be given on 12/6. Date: 12/3 Sections: 11.2 Log: Indefinite and definite integrals of vector-valued functions. Initial value problems. The ideal projectile. Assignment: In 11.2, do problems 1-19 odd. Review: Section 9.r, problems 1-15 odd, odd. Section 10.r, problems 1-15 odd, 19, 23, 31, 32. Section 11.r, problems 3, 7, 11, 12 and 13. Date: 12/5 Log: Review. Date: 12/7 Sections: 11.3 Log: The arclength of a curve in space. The arclength parameter. Assignment: In 11.3, do problems 1-13 odd.
8 Date: 12/10 Log: Review of techniques of integration, series and power series. Notes: Copies of old 107 finals are available at the bookstore. Bring your ID to the final! Date: 12/12 Log: Review of Taylor series, applications of the integral. Notes: The final exam rooms are Dougherty: Burn 120, Kamalov: Arch 127, Stolee: Ferg 217. Date: 12/14 Log: Review. Notes: Copies of old 107 finals are available at the bookstore. Bring your ID to the final!
9 odd odd, , 27, 39, 43, odd, 27, odd, , 3, 7, 9, 19, 21, 25, 31, 35, , 19, 23, , 7, 11, 15, odd, 43, odd odd, 29, odd, 29, 35, , 9, odd, 29, 45, odd, odd odd, odd, r 9-43 odd, odd, 97, odd, 37 and odd, 39, odd odd, 39, odd odd, odd odd, 33, 35, odd, 49, odd. 8.r 9-69 odd odd, odd, odd odd odd, odd. 9.r 1-15 odd, odd odd, 31, odd odd, odd, 11, r 1-15 odd, 19, 23, 31, odd odd odd. 11.r 3, 7, 11, 12, 13. Cumulative Homework List
Math 107H Fall 2008 Course Log and Cumulative Homework List
Date: 8/25 Sections: 5.4 Math 107H Fall 2008 Course Log and Cumulative Homework List Log: Course policies. Review of Intermediate Value Theorem. The Mean Value Theorem for the Definite Integral and the
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 informationVarberg 8e-9e-ET Version Table of Contents Comparisons
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
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 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 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 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 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 2083 FINAL EXAM REVIEW The final exam will be on Wednesday, May 4 from 10:00am-12:00pm.
MATH 2083 FINAL EXAM REVIEW The final exam will be on Wednesday, May 4 from 10:00am-12:00pm. Bring a calculator and something to write with. Also, you will be allowed to bring in one 8.5 11 sheet of paper
More informationK-12 MATHEMATICS STANDARDS
MATHEMATICS To the reader: This document presents our mathematics standards through the lens of Understanding by Design. We began by identifying the important broad understandings and the essential questions
More informationMath 122 Fall Handout 15: Review Problems for the Cumulative Final Exam
Math 122 Fall 2008 Handout 15: Review Problems for the Cumulative Final Exam The topics that will be covered on Final Exam are as follows. Integration formulas. U-substitution. Integration by parts. Integration
More informationCalculus II Study Guide Fall 2015 Instructor: Barry McQuarrie Page 1 of 8
Calculus II Study Guide Fall 205 Instructor: Barry McQuarrie Page of 8 You should be expanding this study guide as you see fit with details and worked examples. With this extra layer of detail you will
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 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 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 informationAdvanced Placement Calculus Syllabus- BC
Advanced Placement Calculus Syllabus- BC Prerequisites All students should have completed four years of secondary mathematics designed for accelerated students. These should consist of the accelerated
More informationMATHEMATICAL ANALYSIS CURRICULUM GUIDE
MATHEMATICAL ANALYSIS CURRICULUM GUIDE Loudoun County Public Schools 2010-2011 Complete scope, sequence, pacing and resources are available on the CD and will be available on the LCPS Intranet. INTRODUCTION
More informationPolynomials and Rational Functions. Quadratic Equations and Inequalities. Remainder and Factor Theorems. Rational Root Theorem
Pre-Calculus Pre-AP Scope and Sequence - Year at a Glance Pre-Calculus Pre-AP - First Semester Pre-calculus with Limits; Larson/Hostetler Three Weeks 1 st 3 weeks 2 nd 3 weeks 3 rd 3 weeks 4 th 3 weeks
More informationmass vs. weight. 392 dependent variable, 2 derivative(s) of a power series. 459 Descartes, René, 201 Devil s curve, 126 Difference Law of limits, 36 D
# #, # definition of a limit, 31,64 A absolute maximum and minimum, 199 absolute maximum and minimum values, 199 absolute value function, 5 absolutely convergent series, 446 acceleration, 282 Airy function,
More informationCalculus: Graphical, Numerical, Algebraic 2012
A Correlation of Graphical, Numerical, Algebraic 2012 To the Advanced Placement (AP) Calculus AB/BC Standards Introduction The following correlation demonstrates the alignment of content between Graphical,
More informationUpon completion of this course, the student should be able to satisfy the following objectives.
Homework: Chapter 6: o 6.1. #1, 2, 5, 9, 11, 17, 19, 23, 27, 41. o 6.2: 1, 5, 9, 11, 15, 17, 49. o 6.3: 1, 5, 9, 15, 17, 21, 23. o 6.4: 1, 3, 7, 9. o 6.5: 5, 9, 13, 17. Chapter 7: o 7.2: 1, 5, 15, 17,
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 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 informationAdvanced Placement Calculus AB. South Texas ISD. Scope and Sequence with Learning Objectives
Advanced Placement Calculus AB South Texas ISD Scope and Sequence with Learning Objectives Advanced Placement Calculus AB Scope and Sequence - Year at a Glance AP Calculus AB - First Semester Three Weeks
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 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 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 informationPRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO. Prepared by Kristina L. Gazdik. March 2005
PRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO Prepared by Kristina L. Gazdik March 2005 1 TABLE OF CONTENTS Course Description.3 Scope and Sequence 4 Content Outlines UNIT I: FUNCTIONS AND THEIR GRAPHS
More informationCalculus Graphical, Numerical, Algebraic 2012
A Correlation of Graphical, Numerical, Algebraic 2012 To the Advanced Placement (AP)* AB/BC Standards Grades 9 12 *Advanced Placement, Advanced Placement Program, AP, and Pre-AP are registered trademarks
More informationRegion 16 Board of Education. Precalculus Curriculum
Region 16 Board of Education Precalculus Curriculum 2008 1 Course Description This course offers students an opportunity to explore a variety of concepts designed to prepare them to go on to study calculus.
More informationNJCCCS AREA: Mathematics. North Brunswick Township Public Schools AP CALCULUS BC. Acknowledgements. Anna Goncharova, Mathematics Teacher
NJCCCS AREA: Mathematics North Brunswick Township Public Schools AP CALCULUS BC Acknowledgements Anna Goncharova, Mathematics Teacher Diane M. Galella, Supervisor of Mathematics Date: New Revision May
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 informationCalculus Graphical, Numerical, Algebraic AP Edition, Demana 2012
A Correlation of Graphical, Numerical, Algebraic AP Edition, Demana 2012 To the Advanced Placement AB/BC Standards Bid Category 13-100-40 AP is a trademark registered and/or owned by the College Board,
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 informationCalculus I (108), Fall 2014 Course Calendar
Calculus I (108), Fall 2014 Course Calendar Nishanth Gudapati December 6, 2014 Please check regularly for updates and try to come prepared for the next class. The topics marked in red are not covered in
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 informationCurriculum Map for Mathematics HL (DP1)
Curriculum Map for Mathematics HL (DP1) Unit Title (Time frame) Sequences and Series (8 teaching hours or 2 weeks) Permutations & Combinations (4 teaching hours or 1 week) Standards IB Objectives Knowledge/Content
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 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 informationAP Calculus AB Course Syllabus
AP Calculus AB Course Syllabus Grant Community High School Mr. Rous Textbook Finney, Ross L., Franklin D. Demana, Bert K. Waits, and Daniel Kennedy. Calculus Graphical, Numerical, Algebraic, Fourth Addition,
More informationCALCULUS: Math 21C, Fall 2010 Final Exam: Solutions. 1. [25 pts] Do the following series converge or diverge? State clearly which test you use.
CALCULUS: Math 2C, Fall 200 Final Exam: Solutions. [25 pts] Do the following series converge or diverge? State clearly which test you use. (a) (d) n(n + ) ( ) cos n n= n= (e) (b) n= n= [ cos ( ) n n (c)
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 informationAP Calculus AB Course Outline
AP Calculus AB Course Outline Prerequisite: Satisfactory completion of: Geometry, Algebra II, and Pre-calculus Advanced Placement Calculus AB is designed as college-level Calculus I. Students are required
More informationFairfield Public Schools
Mathematics Fairfield Public Schools AP Calculus BC AP Calculus BC BOE Approved 04/08/2014 1 AP CALCULUS BC Critical Areas of Focus Advanced Placement Calculus BC consists of a full year of college calculus.
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 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 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 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 informationMathematics 132 Calculus for Physical and Life Sciences 2 Exam 3 Review Sheet April 15, 2008
Mathematics 32 Calculus for Physical and Life Sciences 2 Eam 3 Review Sheet April 5, 2008 Sample Eam Questions - Solutions This list is much longer than the actual eam will be (to give you some idea of
More informationMA Spring 2013 Lecture Topics
LECTURE 1 Chapter 12.1 Coordinate Systems Chapter 12.2 Vectors MA 16200 Spring 2013 Lecture Topics Let a,b,c,d be constants. 1. Describe a right hand rectangular coordinate system. Plot point (a,b,c) inn
More informationPre-Calculus School Year:
Pre-Calculus School Year: 2018-2019 Instructor: Winter Valero Email: wvalero@materacademy.com Class Location: Room 218 Phone Number: Office Location: Room 218 Office Hours: M-F 2:40 pm - 3:00 pm Catalog
More informationList of Important Exercises
List of Important Exercises This is a running list of the standard problems from each section. Although all exercises in the book, believe it or not, are relevant to building a complete understanding of
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 informationCalculus. 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 informationHomework Problem Answers
Homework Problem Answers Integration by Parts. (x + ln(x + x. 5x tan 9x 5 ln sec 9x 9 8 (. 55 π π + 6 ln 4. 9 ln 9 (ln 6 8 8 5. (6 + 56 0/ 6. 6 x sin x +6cos x. ( + x e x 8. 4/e 9. 5 x [sin(ln x cos(ln
More informationInstructional Unit Conic Sections Pre Calculus #312 Unit Content Objective Performance Performance Task State Standards
Instructional Unit Conic Sections Conic Sections The student will be -Define conic sections -Homework 2.8.11E -Ellipses able to create conic as conic slices and -Classwork -Hyperbolas sections based on
More informationMath 162: Calculus IIA
Math 62: Calculus IIA Final Exam ANSWERS December 9, 26 Part A. (5 points) Evaluate the integral x 4 x 2 dx Substitute x 2 cos θ: x 8 cos dx θ ( 2 sin θ) dθ 4 x 2 2 sin θ 8 cos θ dθ 8 cos 2 θ cos θ dθ
More informationSection 8.2: Integration by Parts When you finish your homework, you should be able to
Section 8.2: Integration by Parts When you finish your homework, you should be able to π Use the integration by parts technique to find indefinite integral and evaluate definite integrals π Use the tabular
More informationDO NOT WRITE ABOVE THIS LINE!! MATH 181 Final Exam. December 8, 2016
MATH 181 Final Exam December 8, 2016 Directions. Fill in each of the lines below. Circle your instructor s name and write your TA s name. Then read the directions that follow before beginning the exam.
More informationAP CALCULUS B/C GRADE 12. THE EWING PUBLIC SCHOOLS 1331 Lower Ferry Road Ewing, NJ Angelina Aiello
AP CALCULUS B/C GRADE 12 THE EWING PUBLIC SCHOOLS 1331 Lower Ferry Road Ewing, NJ 08618 BOE Approval Date: 3/26/07 Written by: Don Wahlers Angelina Aiello Raymond Broach Superintendent Section 7.4 Lengths
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 informationHigh School AP Calculus BC Curriculum
High School AP Calculus BC Curriculum Course Description: AP Calculus BC is designed for the serious and motivated college bound student planning to major in math, science, or engineering. This course
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 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 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 informationHADDONFIELD PUBLIC SCHOOLS Curriculum Map for Advanced Precalculus/Chapter 1
Curriculum Map for Advanced Precalculus/Chapter 1 September 1 September 30 (16 days) Targeted Standard(s): NJCCCS 4.3A Interdisciplinary: NJCCCS Technological Literacy 8.1A, 8.1B Enduring Understandings
More informationUnits. Year 1. Unit 1: Course Overview
Mathematics HL Units All Pamoja courses are written by experienced subject matter experts and integrate the principles of TOK and the approaches to learning of the IB learner profile. This course has been
More informationThis practice exam is intended to help you prepare for the final exam for MTH 142 Calculus II.
MTH 142 Practice Exam Chapters 9-11 Calculus II With Analytic Geometry Fall 2011 - University of Rhode Island This practice exam is intended to help you prepare for the final exam for MTH 142 Calculus
More informationy = x 3 and y = 2x 2 x. 2x 2 x = x 3 x 3 2x 2 + x = 0 x(x 2 2x + 1) = 0 x(x 1) 2 = 0 x = 0 and x = (x 3 (2x 2 x)) dx
Millersville University Name Answer Key Mathematics Department MATH 2, Calculus II, Final Examination May 4, 2, 8:AM-:AM Please answer the following questions. Your answers will be evaluated on their correctness,
More informationMA 114 Worksheet #01: Integration by parts
Fall 8 MA 4 Worksheet Thursday, 3 August 8 MA 4 Worksheet #: Integration by parts. For each of the following integrals, determine if it is best evaluated by integration by parts or by substitution. If
More informationMath 181, Exam 2, Study Guide 2 Problem 1 Solution. 1 + dx. 1 + (cos x)2 dx. 1 + cos2 xdx. = π ( 1 + cos π 2
Math 8, Exam, Study Guide Problem Solution. Use the trapezoid rule with n to estimate the arc-length of the curve y sin x between x and x π. Solution: The arclength is: L b a π π + ( ) dy + (cos x) + cos
More informationDRAFT. Pre-calculus Curriculum Map Quarter 1 Chapters P 2. Extraneous Critical numbers Test intervals
Quarter 1 Chapters P 2 Plot points in the coordinate plane and use distance and midpoint formulas. Sketch graphs of equations. Find and use slope of a line to write and graph linear equations. Solve equations:
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 informationFairfield Public Schools
Mathematics Fairfield Public Schools AP Calculus AB AP Calculus AB BOE Approved 04/08/2014 1 AP CALCULUS AB Critical Areas of Focus Advanced Placement Calculus AB consists of a full year of college calculus.
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 information