Cover: Calculus for the AP® Course, 3rd Edition by Michael Sullivan; Kathleen Miranda

Calculus for the AP® Course

Third  Edition©2020  Michael Sullivan; Kathleen Miranda

About

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. 

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Table of Contents

About the Authors
Acknowledgments

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

Answers

End Sheets

Table of Derivatives

Table of Integrals

Michael Sullivan

Michael Sullivan, Emeritus Professor of Mathematics at Chicago State University, received a Ph.D. in mathematics from the Illinois Institute of Technology. Before retiring, Mike taught at Chicago State for 35 years, where he honed an approach to teaching and writing that forms the foundation for his textbooks. Mike has been writing for more than 35 years and currently has 15 books in print. His books have been awarded both Texty and McGuffey awards from the Textbook and Academic Authors Association (TAA). In 2007, he received the TAA Lifetime Achievement Award. Mike is a member of the American Mathematical Association of Two Year Colleges, the American Mathematical Society, the Mathematical Association of America, and the Textbook and Academic Authors Association.

Kathleen Miranda

Kathleen Miranda, Ed.D from St. John’s University, is an Emeritus Associate Professor of the State University of New York (SUNY), where she taught for 25 years. Kathleen is a recipient of the prestigious New York State Chancellor’s Award for Excellence in Teaching, and she particularly enjoys teaching mathematics to underprepared and fearful students. Kathleen served as director of Curriculum and Assessment Development at Old Westbury. In addition to her extensive classroom experience, Kathleen has worked as accuracy reviewer and solutions author on several mathematics textbooks, including Michael Sullivan’s Brief Calculus and Finite Mathematics. Kathleen’s goal is to help students unlock the complexities of calculus and appreciate its many applications.