Cover: Calculus for the AP® Course, 4th Edition by Michael Sullivan; Kathleen Miranda

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Calculus for the AP® Course

Fourth  Edition©2024  Michael Sullivan; Kathleen Miranda

ISBN:9781319535254

ISBN:9781319453428

About

Equip your high schooler for success in AP® Calculus with Sullivan and Mirandas Calculus for the AP® Course, 4th Edition. This comprehensive, student-friendly book is meticulously designed to align with the College Boards 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.

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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

Headshot of Michael Sullivan

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.

Headshot of Kathleen Miranda

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.