Specifically designed to support the needs of AP® students and teachers as well as align with the current College Board AP® Calculus Course and Exam Description (CED), Sullivan and Miranda’s Calculus for the AP® Course, third edition, offers a student-friendly and focused narrative with distinctive features that provide integrated support.
This edition has been carefully developed to ensure that it adheres to the unit structure and coverage as set forth in the 2019 CED. Further, it aligns with the College Board’s overarching structure, meaning every Big Idea, Mathematical Practice, and Student Skill. This edition also aligns with the revised pedagogy of Enduring Understanding, Learning Objective, and Essential Knowledge statement that flow from the three revised Big Ideas.
Written to be read and understood by students as they learn calculus and prepare for either the AP® Calculus AB or AP® Calculus BC Exam – the Sullivan Miranda program offers abundant practice, AP® Specific content, distinctive features, and built-in support. The third edition comes complete with our SaplingPlus online-homework platform and a full set of updated teacher resources.
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
Other versions by this Author