Preface x
Acknowledgments xi
About the Authors xii
Introduction: The Five-Step Program xiii
STEP 1 Set Up Your Study Plan
CHAPTER 1 What You Need to Know About the AP Calculus BC Exam 3
CHAPTER 2 How to Plan Your Time 8
STEP 2 Determine Your Test Readiness
CHAPTER 3 Take a Diagnostic Exam 17
STEP 3 Develop Strategies for Success
CHAPTER 4 How to Approach Each Question Type 41
STEP 4 Review the Knowledge You Need to Score High
Big Idea 1: Limits
CHAPTER 5 Limits and Continuity 49
Big Idea 2: Derivatives
CHAPTER 6 Differentiation 75
CHAPTER 7 Graphs of Functions and Derivatives 103
CHAPTER 8 Applications of Derivatives 149
CHAPTER 9 More Applications of Derivatives 174
Big Idea 3: Integrals and the Fundamental Theorems of Calculus
CHAPTER 10 Integration 207
CHAPTER 11 Definite Integrals 231
CHAPTER 12 Areas, Volumes, and Arc Lengths 257
CHAPTER 13 More Applications of Definite Integrals 309
Big Idea 4: Series
CHAPTER 14 Series 346
STEP 5 Build Your Test-Taking Confidence
AP Calculus BC Practice Exam 1 373
AP Calculus BC Practice Exam 2 403
Formulas and Theorems 433
Bibliography 441