Calculus for the AP® Course
Third Edition ©2020 Michael Sullivan; Kathleen Miranda
Authors
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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.
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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.
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
Product Updates
The third edition of Sullivan and Miranda’s Calculus for the AP® Course mirrors the unit structure set out in College Board’s 2019 Course and Exam Description (CED).
- Chapters are reordered to align with the new unit structure.
- AP® Cumulative Review Problem sets included for Chapters 2-10.
- Chapter 7 includes differential equations, which are included to show that the authors’ coverage aligns with the new unit structure and personalized progress checks.
- Streamlined coverage of certain topics that receive less attention in the 2019 CED.
- Aligned terminology that accords better with The College Board’s usage.
- Additional topics that receive more coverage in the 2019 CED.
Basic coverage of polar coordinates and vectors are located in Appendix A for an additional resource for BC students.
A strong Achieve e-book and Online Homework offering built for this edition with approximately 2000+ questions (many of which are algorithmically created, essentially making thousands more). Along with these, Achieve will also include the following in-book questions with targeted feedback:
- All of the end-of-section, end-of-chapter, and AP® Practice problems.
- All of the problems in the "suggested assignments" grid in Teacher’s Edition.
- All of the NOW WORK problems.
A fully updated teacher resources suite to match the 3rd edition:
- New Teacher’s Edition, Teacher Resources Flashdrive, and Examview Flashdrive.
- Welcoming expert AP® Calculus educator and AP® Exam Reader Joshua Newton to the team as a co-author to the Teacher’s Edition, Joining fellow AP® Exam Reader and veteran AP® Calculus and mathematics teacher, Brent Ferguson.
The teacher resources will now include Desmos activities to give teachers the opportunity to use Desmos in the classroom that goes beyond problem setup and solution.
Authors
-
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.
-
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.
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
Product Updates
The third edition of Sullivan and Miranda’s Calculus for the AP® Course mirrors the unit structure set out in College Board’s 2019 Course and Exam Description (CED).
- Chapters are reordered to align with the new unit structure.
- AP® Cumulative Review Problem sets included for Chapters 2-10.
- Chapter 7 includes differential equations, which are included to show that the authors’ coverage aligns with the new unit structure and personalized progress checks.
- Streamlined coverage of certain topics that receive less attention in the 2019 CED.
- Aligned terminology that accords better with The College Board’s usage.
- Additional topics that receive more coverage in the 2019 CED.
Basic coverage of polar coordinates and vectors are located in Appendix A for an additional resource for BC students.
A strong Achieve e-book and Online Homework offering built for this edition with approximately 2000+ questions (many of which are algorithmically created, essentially making thousands more). Along with these, Achieve will also include the following in-book questions with targeted feedback:
- All of the end-of-section, end-of-chapter, and AP® Practice problems.
- All of the problems in the "suggested assignments" grid in Teacher’s Edition.
- All of the NOW WORK problems.
A fully updated teacher resources suite to match the 3rd edition:
- New Teacher’s Edition, Teacher Resources Flashdrive, and Examview Flashdrive.
- Welcoming expert AP® Calculus educator and AP® Exam Reader Joshua Newton to the team as a co-author to the Teacher’s Edition, Joining fellow AP® Exam Reader and veteran AP® Calculus and mathematics teacher, Brent Ferguson.
The teacher resources will now include Desmos activities to give teachers the opportunity to use Desmos in the classroom that goes beyond problem setup and solution.
Trusted authors and integrated student support for success in AP® Calculus.
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 Achieve online-homework platform and a full set of updated teacher resources.
Looking for instructor resources like Test Banks, Lecture Slides, and Clicker Questions? Request access to Achieve to explore the full suite of instructor resources.
Instructor Resources
Instructor Resources
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Chapter 2 Correlation Guide
Chapter 2 Desmos Activities
Chapter 2 Flashcards
Chapter 2 Projects and Solutions
Chapter 2 Student Solutions Manual (coming soon)
Chapter 2 Teacher's Solutions Manual
Chapter 2 Videos Overview
Chapter 2 Web Resources
Chapter 2 Worksheets
ExamView Assessment Suite for Calculus for the AP® Course
Michael Sullivan; Kathleen Miranda | Third Edition | ©2020 | ISBN:9781319248789Teacher's Edition for Calculus for the AP® Course
Michael Sullivan; Kathleen Miranda | Third Edition | ©2021 | ISBN:9781319248185Teacher's Resource Flash Drive for Calculus for the AP® Course
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Canadian Stores: Please use only the first five digits/letters in your zip code on MOST.
Visit MOST, our online ordering system for booksellers: https://tracking.mpsvirginia.com/Login.aspx
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If you’re a verified instructor, you can request a free sample of our courseware, e-book, or print textbook to consider for use in your courses. Only registered and verified instructors can receive free print and digital samples, and they should not be sold to bookstores or book resellers. If you don't yet have an existing account with Macmillan Learning, it can take up to two business days to verify your status as an instructor. You can request a free sample from the right side of this product page by clicking on the "Request Instructor Sample" button or by contacting your rep. Learn more.
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Sometimes also referred to as a spiral-bound or binder-ready textbook, loose-leaf textbooks are available to purchase. This three-hole punched, unbound version of the book costs less than a hardcover or paperback book.
-
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-
We can help! Contact your representative to discuss your specific needs for your course. If our off-the-shelf course materials don’t quite hit the mark, we also offer custom solutions made to fit your needs.
-
Calculus for the AP® Course
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 Achieve online-homework platform and a full set of updated teacher resources.
Select a demo to view:
These materials are owned by Macmillan Learning or its licensors and are protected by United States copyright law. They are being provided solely for evaluation purposes only by instructors who are considering adopting Macmillan Learning's textbooks or online products for use by students in their courses. These materials may not be copied, distributed, sold, shared, posted online, or used, in print or electronic format, except in the limited circumstances set forth in the Macmillan Learning Terms of Use and any other reproduction or distribution is illegal. These materials may not be made publicly available under any circumstances. All other rights reserved. © 2020 Macmillan Learning.
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