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Calculus for the AP® Course
Third EditionMichael Sullivan; Kathleen Miranda
©2020Spread your wings with Sullivan and Miranda. This text offers a trusted and student-friendly approach to learning calculus while preparing you for either the AP® Calculus AB or AP® Calculus BC Exam, with the most up-to-date and quality AP® content available.
Sullivan and Miranda, Calculus for the AP® Course, 3e, is built around worked examples set in readable chapters that are closely aligned with the newest AP® Calculus Course and Exam Description from College Board. The textbook offers extensive integrated support coupled with plenty of problems to practice with, helping you to prepare for the AP® Exam. To allow you to work with the textbook and problems electronically, we are now offer SaplingPlus Online-Homework with targeted feedback because it is accessible, accurate, and reliable.
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