Contents

About the Author

Acknowledgments

Part I: Using This Book to Improve Your AP Score

Preview: Your Knowledge, Your Expectations

Your Guide to Using This Book

Part II: About the AP Calculus Exam

AB Calculus vs BC Calculus

The Structure of the Calculus Exam

How the Calculus Exam Is Scored

Overview of Content Topics

General Overview of This Book

How AP Exams Are Used

Other Resources

Designing Your Study Plan

Part III: Test-Taking Strategies for the AP Calculus Exam

1 How to Approach Multiple Choice Questions

2 How to Approach Free Response Questions

Part IV: Content Review for the AP Calculus Exam

5 The Definition of the Derivative

6 Basic Differentiation

7 Implicit Differentiation

8 Basic Applications of the Derivative

9 Maxima and Minima

11 Exponential and Logarithmic Functions, Part One

12 Other Topics in Differential Calculus

13 The Integral

14 Definite Integrals

15 Exponential and Logarithmic Functions, Part Two

16 The Area Between Two Curves

17 The Volume of a Solid of Revolution

18 Integration by Parts

19 Trig Functions

20 Other Applications of the Integral

21 Differential Equations

22 Infinite Series

23 Answers to Practice Problem Sets

Part V: The Princeton Review AP Calculus Practice Tests

24 AB Calculus Practice Test 1

25 AB Calculus Practice Test 1 Answers and Explanations

26 AB Calculus Practice Test 2

27 AB Calculus Practice Test 2 Answers and Explanations

28 AB Calculus Practice Test 3

29 AB Calculus Practice Test 3 Answers and Explanations

30 BC Calculus Practice Test 1

31 BC Calculus Practice Test 1 Answers and Explanations

32 BC Calculus Practice Test 2

33 BC Calculus Practice Test 2 Answers and Explanations