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# Calculus for the AP® Course

## Second EditionMichael Sullivan; Kathleen Miranda

©2017A proven approach to the redesigned AP® Calculus course.

From one of today’s most accomplished and trusted mathematics authors comes a new textbook that offers unmatched support for students facing the AP® calculus exam. *Calculus for the AP® Course* covers every Big Idea, Essential Knowledge statement, Learning Objective, and Math Practice described in the 2016-2017 redesigned College Board™ Curriculum Framework. Its concise, focused narrative and integrated conceptual and problem-solving tools give you just the help you need as you learn calculus and prepare for the redesigned AP® Exam. This edition includes examples with worked solutions, videos from experienced AP® teachers, and four cumulative AP® practice exams.

## Table of Contents

Applications Index

Chapter P: Precalculus

Chapter 1: Limits and Conitnuity

Cumulative AP® Practice Exam 1

Chapter 2: The Derivative

Chapter 3: More About Derivatives

Chapter 4: Applications of the Derivative

Cumulative AP® Practice Exam 2

Chapter 5: The Integral

Chapter 6: Applications of the Integral

Chapter 7: Techniques of Integration

Cumulative AP® Practice 3:

Chapter 8: Infinite Series

Chapter 9: Parametric Equations, Polar Equations

Chapter 10: Vectors; Lines, Planes, and Quadratic Surfaces in Space

Chapter 11: Vector Functions

Cumulative AP® Practice Exam 4

Appendix A: Precacluus Used in Calculus

Appendix B: Theorems and Proofs

Appendix C: Technology Used in Calculus