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Calculus for the AP® Course
Third EditionMichael Sullivan; Kathleen Miranda©2020
Sullivan and Miranda's Calculus for the AP®, Third Edition offers a trusted and student-friendly approach to learning calculus while preparing students for either the AP® Calculus AB or AP® Calculus BC exam. The text is built around worked examples set in readable chapters that are closely aligned with the newest AP® Calculus course and exam description. Extensive integrated support coupled with plenty of practice problems prepares students for the AP® exam. This is the most trust AP® Calculus program available.
Table of Contents
About the Authors
What Is Calculus?
Student’s Guide to This Book
Chapter P Preparing for Calculus
UNIT 1 Limits and Continuity
Chapter 1 Limits and Continuity
UNIT 2 Differentiation: Definition and Fundamental Properties
Chapter 2 The Derivative and Its Properties
UNIT 3 Differentiation: Composite, Implicit, and Inverse Functions
Chapter 3 The Derivative of Composite, Implicit, and Inverse Functions
UNIT 4 Contextual Applications of Differentiation
Chapter 4 Applications of the Derivative, Part 1
UNIT 5 Analytical Applications of Differentiation
Chapter 5 Applications of the Derivative, Part 2
UNIT 6 Integration and Accumulation of Change
Chapter 6: Part 1 The Integral
Chapter 6: Part 2 Techniques of Integration
UNIT 7 Differential Equations
Chapter 7: Differential Equations
UNIT 8 Applications of Integration
Chapter 8: Applications of the Integral
AP® Practice Exam: Calculus AB
UNIT 9 Parametric Equations; Polar Coordinates; and Vector-Valued Functions
Chapter 9: Parametric Equations; Polar Coordinates; Vector Functions
UNIT 10 Infinite Sequences and Series
Chapter 10: Infinite Series
AP® Practice Exam: Calculus BC
Appendix A Precalculus Used in Calculus
Appendix B Theorems and Proofs
Appendix C Using Calculators on the AP® Calculus Exam
Table of Derivatives
Table of Integrals