Skip to Main Content
  • High School Catalog
  • High School Community
  • BFW Online Store
  • CACanada Store
ML Logo
  • Sign in// Register
  • search
  • minicart.altText
    0

Find what you need to succeed.

search icon
  • AP® Updates

    AP® Updates

    back
    • AP® Updates
  • Digital

    Digital

    back
    • Achieve
    • Integrations
    • BFW Test Generator
  • Our Story

    Our Story

    back
    • Our Mission
    • News & Media
    • Accessibility
    • Sustainability
    • Careers
    • Diversity and Inclusion
  • Solutions

    Solutions

    back
    • Administrators
    • AP® Summer Institutes
    • Home Schooler
    • International Customers
    • Professional Development
    • Program Resources
  • Subjects

    Subjects

    back
    • Language Arts Mathematics Science Social Studies
  • Support

    Support

    back
    • Support
    • Booksellers
    • Find Your Rep
    • BFW Online Store
    • Permissions
    • Report Piracy
  1. Home
  2. Mathematics
  3. Calculus for the AP® Course
  • About
  • Program
  • Preview
  • Digital
  • Contents
  • Authors
Look Inside Look Inside Cover: Calculus for the AP® Course, 3rd Edition by Michael Sullivan; Kathleen Miranda
Find Your Rep

Calculus for the AP® Course

Third Edition| ©2020 Michael Sullivan; Kathleen Miranda

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 a...

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.

Read more

Have a question for a teacher using this product?
Ask a BFW Teacher Advocate →

Institutional Prices


  • Format
Hardcover $159.98

ISBN:9781319244316

Read and study old-school with our bound texts.

$159.98

Achieve

ISBN:9781319523718

Access all your course tools in one place!



Go to Achieve
$55.00


$171.98

Home Features New to This Edition Reviews Submit a testimonial What's in Achieve for STEM?
Look Inside Look Inside Cover: Calculus for the AP® Course, 3rd Edition by Michael Sullivan; Kathleen Miranda

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.

Features

AP® Exam Prep within Your Text

  • AP® Exam Tips throughout the text in the minor column
  • At Section level: AP® Practice Problems cover content that may appear on the AB or BC version of the exam
  • At Chapter level: AP® Review Problems include multiple choice and model FRQs for exam practice all year
  • At Chapter level: AP Cumulative Review Problem sets encourage retention of content through cross-chapter review.
  • Two AP® Practice Exams
    • 1 full-length Calculus AB practice test, after chapter 8
    • 1 full- length Calculus BC practice test, after chapter 10

Review and Reinforce on all Levels

  • Abundant practice is provided through a well-scaffolded set of exercises at the section, chapter, and cross-chapter cumulative levels.
  • The end of each section features exercise sets that focus on:
    • Concepts and Vocabulary
    • Skill Building
    • Applications and Extensions
    • Challenge Problems
    • AP® Practice Problems

  • All chapters end with general and AP® Review problems
    • Things to Know
    • Objectives Table
    • Chapter Review Exercise set (covering all chapter concepts)
    • AP® Review Problems that include multiple-choice and FRQ questions (cover chapter concepts)

Created to meet your students needs

  • Written at an accessible level so that students can handle the concepts and the worked examples.
  • The textbook offers economical, focused description with integrated support written to be read and understood by students as they learn calculus and prepare for the AP® Exam
  • Sullivan and Miranda’s distinctive NOW WORK example feature promotes good habits by directing students from a worked example in main text to a problem in the section exercise set that mirrors the example, providing immediate practice and reinforcement. Since we recognize that many students begin with exercises and seek help only as needed, we have crafted this backward/forward navigation system that effectively directs student from exercise to example and vice versa.
  • Includes numerous examples with worked solutions to serve as models for your students. Examples are calibrated in difficulty throughout sections to help students attain higher skill levels in dealing with complexity.
  • Selected worked examples are supported by short video clips that provide step-by-step support that give a worked example that mirrors the in-text example (CalcClips).
  • All AP® Review Problems are accompanied by short video clips that provide step-by-step support through the AP® problem.
  • All AP® Cumulative Review Problems are accompanied by short video clips that provide step-by-step support through the AP® problem.

Mind the Margins

Additional help for students is provided by taking advantage of the minor column to place eye-catching, helpful features:

  • AP® EXAM TIPs: Contains explanations and suggestions to help students prepare for the AP® exam.
  • NEED TO REVIEW: Pinpoints cross-references to prior topics that students have to know to master new content.
  • RECALL: Provides a quick refresher of important information, which is used in examples, theorems, definitions, and descriptions.
  • NOTE: Provides supporting details to content on that page to help further explain topics.
  • CAUTION: Warns students about misconceptions and pitfalls.
  • ORIGINS: Gives background and biographical information about key figures and discoveries as calculus developed.
  • IN WORDS: On-the-spot help in translating definitions, formulas, theorems, proofs, and corollaries into clear, plain language to support students when and where they need it.

Engage your students

  • Chapter Projects are introduced at the opening of each chapter and are revisited at the end of the chapter to help relate calculus to everyday life, which provides students with a chance to apply the math that they learned throughout the chapter.
  • Additional, "just-in-time," help is offered through a suite of videos that accompany selected worked examples (CalcClip), AP Review Problems (at the end of chapters), and the AP Cumulative Review Problem sets. In these videos, experienced AP teachers walk students step-by-step through key examples, AP review, and major concepts.

New to This Edition

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.

"WOW! This is BY FAR the BEST calculus book I have seen in my 20+ years of teaching."
- Kent Thele (John Paul II High School)

"Calculus for the AP® Course does a phenomenal job of not only preparing students for the AP® exam, but also showing each student the connections between the calculus classroom, the workplace, and the world."
- Textbook & Academic Authors Association (TAA) Judge.

"If I had any issues I was able to get in touch with someone that was easily accessible. That is the #1 thing about working [with BFW]. It really paid off that [our district] switched over [to Calculus for the AP® Course, 3e]."
- AP® Calculus Teacher, Pennsylvania

"This is a phenomenal textbook that is really lined up with the AP® exam...Im really happy and my students are excited to use this textbook. In the past, our old textbook wasnt as exciting."
- AP® Calculus Teacher, Pennsylvania

 

Look Inside Look Inside Cover: Calculus for the AP® Course, 3rd Edition by Michael Sullivan; Kathleen Miranda

Calculus for the AP® Course

Third Edition| ©2020

Michael Sullivan; Kathleen Miranda

Digital Options

ACHIEVE icon

Achieve

Achieve is a comprehensive set of interconnected teaching and assessment tools that incorporate the most effective elements from Macmillan Learning's market leading solutions in a single, easy-to-use platform.

Schedule Achieve Demo Go to Achieve

Look Inside Look Inside Cover: Calculus for the AP® Course, 3rd Edition by Michael Sullivan; Kathleen Miranda

Calculus for the AP® Course

Third Edition| 2020

Michael Sullivan; Kathleen Miranda

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

Look Inside Look Inside Cover: Calculus for the AP® Course, 3rd Edition by Michael Sullivan; Kathleen Miranda

Calculus for the AP® Course

Third Edition| 2020

Michael Sullivan; Kathleen Miranda

Find Your Rep

Authors

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.

Look Inside Look Inside Cover: Calculus for the AP® Course, 3rd Edition by Michael Sullivan; Kathleen Miranda

Calculus for the AP® Course

Third Edition| 2020

Michael Sullivan; Kathleen Miranda

Find Your Rep

Program Resources

See a preview of this program’s resources

1. Sign in to unlock your preview.   |   2. Select your desired resources  |   3. Submit a request.  |   4. Download.

Unlock Your Preview.

Program Resources

request locked icon

Chapter 2 AP Skill Builders


request locked icon

Chapter 2 Alternate Examples


request locked icon

Chapter 2 Bell Ringers


request locked icon

Chapter 2 Calc Clips


request locked icon

Chapter 2 Correlation Guide

request locked icon

Chapter 2 Desmos Activities

request locked icon

Chapter 2 Flashcards

request locked icon

Chapter 2 Prepared Tests


request locked icon

Chapter 2 Projects and Solutions

request locked icon

Chapter 2 Student Solutions Manual (coming soon)

request locked icon

Chapter 2 Teacher's Solutions Manual

request locked icon

Chapter 2 Videos Overview

request locked icon

Chapter 2 Web Resources

request locked icon

Chapter 2 Worksheets

ExamView Assessment Suite for Calculus for the AP® Course

Michael Sullivan; Kathleen Miranda | Third Edition | ©2020 | ISBN:9781319248789
With more than 2000 questions (many of which are algorithmic) written by our extended team of AP® Calculus and content expert this testbank provides t...
With more than 2000 questions (many of which are algorithmic) written by our extended team of AP® Calculus and content expert this testbank provides truly comprehensive assessment support for the text. Available exclusively within the ExamView® Assessment Suite Software, questions can be sorted according to various metadata while tests may be printed or administered online using the ExamView® Player.
Read more

Teacher's Edition for Calculus for the AP® Course

Michael Sullivan; Kathleen Miranda | Third Edition | ©2021 | ISBN:9781319248185
This one-of-kind Teacher’s Edition, built specifically for the 3rd edition of Sullivan and Miranda, provides an in-depth correlation as well as AB and...
This one-of-kind Teacher’s Edition, built specifically for the 3rd edition of Sullivan and Miranda, provides an in-depth correlation as well as AB and BC pacing guides aligned to the 2019 CED.  The new edition provides a correlation page in the “Blue Pages” that start each chapter to demonstrate this close alignment. Within the wraparounds in each chapter, teachers will find abundant teaching tips, alternate examples, calculator instruction, and AP exam tips to ensure close adherence to the 2019 CED.  Our TE authors do the hard work of ensuring close correlation so that you can focus on teaching AP calculus.
Read more

Teacher's Resource Flash Drive for Calculus for the AP® Course

Michael Sullivan; Kathleen Miranda | Third Edition | ©2020 | ISBN:9781319248796
This invaluable resource includes the essential teacher resources that go along with Sullivan/Miranda 3rd edition program, including: Calc Clip videos...
This invaluable resource includes the essential teacher resources that go along with Sullivan/Miranda 3rd edition program, including: Calc Clip videos, AP® Review Problem videos, AP® Cumulative Review Problem videos, AP® Calculus AB Exam Prep Flashcards for students, Bell Ringer activities for each day in a convenient Word presentation, with an answer key for the teacher, Skill Building Worksheets for each section with answer key, PDFs for Alternate Examples and AP® Calculus Skill Builders from the Teacher’s Edition—for use as handouts and worksheets in class, Two prepared exams for each chapter, Image PowerPoints containing graphs and other visual representations from the student text, The Teacher’s Solutions Manual in PDF format, Desmos activities for each chapter, and more!
Read more
Confirm Request
We're sorry! The server encountered an internal error and cannot complete your request. Please try again later.

You've selected:

Click the E-mail Download Link button and we'll send you an e-mail at with links to download your instructor resources. Please note there may be a delay in delivering your e-mail depending on the size of the files.

Warning! These materials are owned by Macmillan Learning or its licensors and are protected by copyright laws in the United States and other jurisdictions. Such materials may include a digital watermark that is linked to your name and email address in your Macmillan Learning account to identify the source of any materials used in an unauthorised way and prevent online piracy. These materials are being provided solely for instructional use by instructors who have adopted Macmillan Learning’s accompanying 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. For more information about the use of your personal data including for the purposes of anti-piracy enforcement, please refer to Macmillan Learning's.Privacy Notice

Request Status

Thank you!

Your download request has been received and your download link will be sent to .

Please note you could wait up to 30 to 60 minutes to receive your download e-mail depending on the number and size of the files. We appreciate your patience while we process your request.

Check your inbox, trash, and spam folders for an e-mail from InstructorResources@macmillan.com.

If you do not receive your e-mail, please visit highschool.bfwpub.com/support.

We're sorry! The server encountered an internal error and cannot complete your request. Please try again later.
Look Inside Look Inside Cover: Calculus for the AP® Course, 3rd Edition by Michael Sullivan; Kathleen Miranda

Calculus for the AP® Course

Third Edition| 2020

Michael Sullivan; Kathleen Miranda

Related Titles

Available Demos

Select a demo to view:

Look Inside: Sample Chapters

These materials are owned by BFW High School Publishers 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 BFW High School Publishers’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 BFW High School Publishers 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 BFW High School Publishers.

BY CLICKING ON THE SAMPLE CHAPTER LINK BELOW, YOU ARE AGREEING TO USE THESE MATERIALS ONLY IN ACCORDANCE WITH BFW HIGH SCHOOL PUBLISHER'S TERMS OF USE.


Select a file to view:

Sullivan/Miranda Calculus AP 3e: Chapter2

  • Privacy Notice//
  • Your Privacy Choices
  • //
  • Ads & Cookies//
  • Terms of Use//
  • Accessibility//
  • AI Transparency Statement//
  • Supply Chains Act Statement//
  • Code of Conduct//
  • Piracy//
  • Site Map

AP® and Pre-AP® are trademarks registered by the College Board, which is not affiliated with, and does not endorse, these products.

  • BFW publishers facebook
  • BFW publishers twitter
  • BFW publishers youtube
  • BFW publishers linkedin
ML Logo
We are processing your request. Please wait...