Master AP Calculus AB and BC

ISBN-10: 0768924707

ISBN-13: 9780768924701

Edition: 2nd 2007

Authors: W. Michael Kelley, Mark Wilding, Peterson's Guides Staff

List price: $19.00
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Scoring high on the AP Exam translates to saved time and money_but how much? Peterson_s updated Master the AP series answers this question with a new Quick-Reference Chart for each test by college and university, test designation, required score, credits granted, courses waived, and any stipulations. Students don_t have to wonder how their college of choice will reward their hard work.Each book also contains in-depth subject reviews along with test-taking strategies and two full-length practice tests with detailed answer explanations.
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Book details

List price: $19.00
Edition: 2nd
Copyright year: 2007
Publisher: Peterson's
Publication date: 2/27/2007
Binding: Paperback
Pages: 720
Size: 8.25" wide x 10.50" long x 1.50" tall
Weight: 2.398
Language: English

W. Michael Kelleyis a former award-winning calculus teacher and the author of the bestselling The Complete Idiots Guide� to Calculus, The Complete Idiots Guide� to Precalculus, and The Humongous Book of Calculus Problems. Among the honors hes received throughout his career are his four-year-running title of Most Popular Teacher and being recognized by the Maryland Council of Teachers of Mathematics as an Outstanding High School Mathematics Teacher. He has contributed to over 50 publications including Playboy, WIRED, Sync, SPINand The Source.

Acknowledgments
Before You Begin
How This Book Is Organized
Special Study Features
Appendix
You're Well on Your Way to Success
Give Us Your Feedback
Mike Kelley's How to Use This Book
Quick Reference Guide
Top 10 Strategies to Raise Your Score
AP Calculus AB & BC Basics
All About the AP Calculus AB & BC Tests
Frequently Asked Questions About the AP Calculus Tests
Summing It Up
AP Calculus AP & BC Review
Calculus Prerequisites
Functions and Relations
Answers and Explanations
Function Properties
Answers and Explanations
Inverse Functions
Answers and Explanations
Hands-On Activity 2.1: Transforming Functions
Selected Solutions to Hands-on Activity 2.1
Answers and Explanations
Trigonometry
Answers and Explanations
Parametric Equations (BC Topic Only)
Answers and Explanations
Polar Equations (BC Topic Only)
Answers and Explanations
Vectors and Vector Equations (BC Topic Only)
Answers and Explanations
Technology: Solving Equations with a Graphing Calculator
Answers and Explanations
Summing It Up
Limits and Continuity
Hands-On Activity 3.1: What Is a Limit?
Selected Solutions to Hands-On Activity 3.1
Answers and Explanations
Evaluating Limits Analytically
Answers and Explanations
Continuity
Answers and Explanations
Hands-On Activity 3.2: The Extreme Value Theorem
Selected Solutions to Hands-On Activity 3.2
Answers and Explanations
Hands-On Activity 3.3: The Intermediate Value Theorem
Solutions to Hands-On Activity 3.3
Answers and Explanations
Limits Involving Infinity
Answers and Explanations
Special Limits
Answers and Explanations
Technology: Evaluating Limits with a Graphing Calculator
Answers and Explanations
Summing It Up
Differentiating
Derivative as a Rate of Change
Answers and Explanations
The Power Rule
Answers and Explanations
Derivatives to Memorize
Answers and Explanations
The Chain Rule
Answers and Explanations
The Product Rule
Answers and Explanations
The Quotient Rule
Answers and Explanations
A Word About Respecting Variables
Answers and Explanations
Implicit Differentiation
Answers and Explanations
Hands-On Activity 4.1: Approximating Derivatives
Selected Solutions to Hands-On Activity 4.1
Answers and Explanations
Technology: Finding Numerical Derivatives with the Graphing Calculator
Answers and Explanations
Summing It Up
Advanced Topics in Differentiation
The Derivative of an Inverse Function
Answers and Explanations
Hands-On Activity 5.1: Linear Approximations
Solutions to Hands-On Activity 5.1
Answers and Explanations
L'Hopital's Rule (BC Topic Only)
Answers and Explanations
Parametric Derivatives (BC Topic Only)
Answers and Explanations
Polar Derivatives (BC Topic Only)
Answers and Explanations
Technology: Finding Polar and Parametric Derivatives with Your Calculator (BC Topic Only)
Answers and Explanations
Summing It Up
Applications of the Derivative
Related Rates
Answers and Explanations
Hands-On Activity 6.1: Rolle's and Mean Value Theorems
Selected Solutions to Hands-On Activity 6.1
Answers and Explanations
Hands-On Activity 6.2: The First Derivative Test
Selected Solutions to Hands-On Activity 6.2
Answers and Explanations
Concavity
Answers and Explanations
Motion
Answers and Explanations
Motion in the Plane (BC Topic Only)
Answers and Explanations
Optimization
Answers and Explanations
Technology: Modeling a Particle's Movement with a Graphing Calculator
Answers and Explanations
Summing It Up
Integration
Basic Antiderivatives
Answers and Explanations
Hands-On Activity 7.1: Approximating Area with Riemann Sums
Selected Solutions to Hands-On Activity 7.1
Answers and Explanations
The Trapezoidal Rule
Answers and Explanations
The Fundamental Theorem of Calculus
Answers and Explanations
Hands-On Activity 7.2: Accumulation Functions
Solutions to Hands-On Activity 7.2
Answers and Explanations
The Mean Value Theorem for Integration, Average Value of a Function
Answers and Explanations
U-Substitution
Answers and Explanations
Integrating Inverse Trigonometrie Functions
Answers and Explanations
Technology: Evaluating Definite Integrals with Your Graphing Calculator
Answers and Explanations
Summing It Up
Advanced Methods of Integration
Miscellaneous Methods of Integration
Answers and Explanations
Parts (BC Topic Only)
Answers and Explanations
Powers of Trigonometrie Functions (BC Topic Only)
Answers and Explanations
Partial Fractions (BC Topic Only)
Answers and Explanations
Improper Integrals (BC Topic Only)
Answers and Explanations
Technology: Drawing Derivative and Integral Graphs with Your Calculator
Answers and Explanations
Summing It Up
Applications of Integration
Hands-On Activity 9.1: Area Between Curves
Selected Solutions to Hands-On Activity 9.1
Answers and Explanations
The Disk and Washer Methods
Answers and Explanations
The Shell Method
Answers and Explanations
Finding the Volume of Regions with Known Cross Sections
Answers and Explanations
Arc Length (BC Topic Only)
Answers and Explanations
Polar Area (BC Topic Only)
Answers and Explanations
Technology: Using Your Calculator Efficiently
Answers and Explanations
Summing It Up
Differential Equations
Hands-On Activity 10.1: Separation of Variables
Solutions to Hands-On Activity 10.1
Answers and Explanations
Hands-On Activity 10.2: Slope Fields
Selected Solutions to Hands-On Activity 10.2
Answers and Explanations
Euler's Method (BC Topic Only)
Answers and Explanations
Exponential Growth and Decay
Answers and Explanations
Logistic Growth (BC Topic Only)
Answers and Explanations
Technology: A Differential Equations Calculator Program
Answers and Explanations
Summing It Up
Sequences and Series (BC Topics Only)
Introduction to Sequences and Series, Nth Term Divergence Test
Answers and Explanations
Convergence Tests for Infinite Series
Answers and Explanations
Power Series
Answers and Explanations
Taylor and Maclaurin Series
Answers and Explanations
Technology: Viewing and Calculating Sequences and Series with a Graphing Calculator
Answers and Explanations
Summing It Up
Four Practice Tests
AP Calculus AB
Section I, Part A
Section I, Part B
Section II, Part A
Section II, Part B
Answer Key and Explanations
AP Calculus AB
Section I, Part A
Section I, Part B
Section II, Part A
Section II, Part B
Answer Key and Explanations
AP Calculus BC
Section I, Part A
Section I, Part B
Section II, Part A
Section II, Part B
Answer Key and Explanations
AP Calculus BC
Section I, Part A
Section I, Part B
Section II, Part A
Section II, Part B
Answer Key and Explanations
College-by-College Guide to AP Credit and Placement
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