NEW

Calculus for the AP® Course

Fourth Edition

Publication Date: April 15, 2024

Hardcover ISBN: 9781319453428

Pages: 1104

Introducing the ultimate resource for AP® Calculus students and teachers - Sullivan and Mirandas Calculus for the AP® Course, fourth edition. This student-friendly book has been specially designed to align with the College Board AP® Calculus Course and Exam Description (CED).

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ISBN: 9781319453428
Calculus for the AP® Course

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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

Get the Best AP® Exam Prep within the Text

Discover point-of-use AP® Exam Tips throughout the text.
Students will ace the AB or BC version of the exam with AP® Practice Problems at the section level.
Build skills taking on exam-style questions with AP® Review Problems at the chapter level.
Boost retention and understanding with AP® Cumulative Review Problem sets.
Test your Students’ skills with two full-length AP® Practice Exams.

Review and Reinforce Like Never Before - students will:

Hone their skills with well-scaffolded exercises at the section, chapter, and cross-chapter cumulative levels.
Dive into exercises that cover key concepts, build skills, apply knowledge, and provide a challenge.
Wrap up each chapter with comprehensive review exercises and AP® Review Problems.
Get a full picture of each chapter with Things to Know, Objectives Table, and Chapter Review Exercise set.
Tackle multiple-choice and FRQ questions to master chapter concepts in the AP® Review Problems.

Specially Crafted for Your Students Success

Designed with an accessible level for easy understanding of complex calculus concepts.
Enjoy economical and focused descriptions with integrated support.
Study with ease calculus with Macmillan Learning’s backward/forward navigation system that directs students from exercises to examples and vice versa.
Model your solutions after numerous examples with worked solutions.
Find step-by-step support through short video clips - CalcClips - for selected worked examples, AP® Review Problems, and AP® Cumulative Review Problems.

Unlock Extra Help in the Margins

Eye-catching AP® EXAM TIPs that provide exam preparation explanations and suggestions.
Find cross-references to prior topics with NEED TO REVIEW, helping students grasp and perfect new content.
RECALL tips will refresh your students’ memory, providing quick reminders of important information.
Dive deeper into topics with supporting details in the NOTE tip.
Avoid misconceptions and pitfalls with helpful warnings in the CAUTION tip.
Learn about the background and key figures in calculus with ORIGINS.
Get on-the-spot help with IN WORDS tips, translating complex concepts into plain language.

Engage and Apply with Chapter Projects

Relate calculus to everyday life with Chapter Projects introduced at the beginning and revisited at the end of each chapter.
Watch a suite of videos for just-in-time help, featuring experienced AP teachers explaining key examples, AP review, and major concepts.

What’s NEW with the Fourth Edition of Sullivan and Miranda’s Calculus for the AP® Course - your ultimate resource for mastering AP Calculus!

Weve aligned our content with the latest Course and Exam Description (CED) from the College Board, ensuring that youre fully prepared for success.

Heres what makes our book stand out:

Stepped-Out Problem Solving Guide: Kick off each chapter with a helpful guide that will walk you through solving the AP Practice Problems step-by-step. No more feeling stuck and unsure - weve got your back
Break it Down Feature: At the end of each chapter, we provide detailed solutions to section-level AP Practice Problems. Follow along as we break down the concepts for you, using the same steps outlined in the chapters AP Exam Tip. Youll gain a deeper understanding and boost your problem-solving skills.
Hear from AP Calculus Alums: Gain inspiration from real-life success stories! Each chapter starts with a testimonial from friends and colleagues of our author team. They share how their experience with AP Calculus has shaped their professional lives, giving you a glimpse of whats possible with a strong foundation in this subject.

But thats not all - weve also got a fantastic digital offering through Achieve:

A comprehensive e-book and Online Homework platform designed specifically for this edition.
Over 4000+ questions, including algorithmically generated ones, to sharpen your skills and test your understanding.
Access to all end-of-section, end-of-chapter, and AP® Practice problems so you can practice, practice, practice!
Targeted feedback on the in-book questions in the "suggested assignments" grid found in the Teachers Edition.
Complete coverage of the NOW WORK problems.

And for teachers, weve upgraded our suite of resources to match the 4th edition:

A brand new Teachers Edition, filled with insights, tips, and guidance to support your instruction.
Teacher Resource Materials and Assessment Resources to enhance your teaching strategies.
Were thrilled to welcome expert AP® Calculus educator and former AP® Calculus Development Committee Member, Karen Hyers, as a co-author for the Teachers Edition. Stay tuned for more exciting updates on additional co-authors!

Dont miss out on this incredible opportunity to excel in AP® Calculus instruction. Order your copy of Sullivan and Mirandas Calculus for the AP® Course 4th edition now and get ready to conquer the exam!

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.

Achieve for Calculus for the AP® Course is an online learning system backed by extensive development and research. Proven to increase student engagement and boost performance. Achieve offers:

Our digital offering through Achieve includes a comprehensive e-book and Online Homework platform designed specifically for this edition, with over 4000+ questions and full access to all AP® Practice problems.

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About Achieve

Achieve is our online learning system backed by extensive development and research, proven to increase student engagement and boost performance. Achieve offers:

Access to the ebook to download, read and virtually annotate for a completely flexible experience.
Course and book-specific resources. Most Achieve courses come our LearningCurve, our adaptive quizzing engine with personalized question sets and clear feedback based on each student’s correct and incorrect answers.
A grade book, assignable assessments with targeted feedback, insights and reporting, instructor resources - all with seamless integration options.

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