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™ 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.
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™ 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.
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, 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. 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.
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