Calculus for the AP® Course - Kathleen Miranda

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Résumé :
From one of today's most accomplished and trusted mathematics authors comes a new textbook that offers unmatched support for students taking the AP? Calculus exam, and comes with additional resources for the teachers helping them prepare for it.Sullivan and Miranda's Calculus for the AP Course covers every Big Idea, Essential Knowledge statement, Learning Objective, and Math Practice described in the 2016-2017 redesigned College Board(TM) Curriculum Framework. It is concise and its focused narrative and integrated conceptual and problem-solving tools give students just the help they need as they learn calculus and prepare for the redesigned AP? Exam. Its accompanying Teacher's Edition provides an in depth correlation and abundant tips, examples, projects, and resources to ensure close adherence the new Curriculum Framework.

Biographie:
Michael Sullivan; Kathleen Miranda

Sommaire:
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