# Calculus for the AP® Course

## Fourth EditionMichael Sullivan; Kathleen Miranda

©2024Equip your high schooler for success in AP® Calculus with Sullivan and Miranda's *Calculus for the AP® Course, 4th Edition*. This comprehensive, student-friendly book is meticulously designed to align with the College Board's course and exam guidelines, providing ample practice and unique features to enhance learning. With access to our online homework platform, Achieve (available for additional purchase), your student will be well-prepared to excel in both the AP® Calculus AB and BC exams.

## Table of Contents

*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 Equations; 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 -*Answers *

- Index of Applications
- Subject Index