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Look Inside Look Inside Cover: Rogawski's Calculus Early Transcendentals for AP®, 2nd Edition by Jon Rogawski; Ray Cannon
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Rogawski's Calculus Early Transcendentals for AP®

Second Edition ©2012 Jon Rogawski; Ray Cannon

Rogawskis remarkable textbook was immediately acclaimed for balancing formal precision with a guiding conceptual focus that engages students while reinforcing the relevance of calculus to their lives and future studies.  Precise formal proofs, vivid examples, colorful graphics, i...
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ISBN:9781429250740

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Program Resources

AP Teacher's Resource Binder for Calculus: Early Transcendentals

Lin McMullin | Second Edition | ©2012 | ISBN:9781429286299

An invaluable resource for new and experienced teachers alike, the Teacher’s Resource Binder addresses a variety of approaches to the co...

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Art PowerPoint Slides Sample Chapter 3

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Correlation Guide to AP Exam

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Errata for Teachers

Printed Test Bank for Calculus: Early Transcendentals for AP

Brian Fulton; Melanie Fulton | Second Edition | ©2012 | ISBN:9781429286275

The comprehensive test bank includes thousands of AP-style multiple-choice questions and short answer problems. Modeled on the types of questi...

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Teacher's Resource Binder Sample Chapter 3

Teacher's Resource CDR for Rogawski Calc AP: Early Trancendentals

Jon Rogawski | Second Edition | ©2012 | ISBN:9781429288842

The contents of the Teacher’s Resource Binder, complete solutions, PowerPoint slides, images, and extra material from the book companion...

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Look Inside Look Inside Cover: Rogawski's Calculus Early Transcendentals for AP®, 2nd Edition by Jon Rogawski; Ray Cannon

Rogawskis remarkable textbook was immediately acclaimed for balancing formal precision with a guiding conceptual focus that engages students while reinforcing the relevance of calculus to their lives and future studies.  Precise formal proofs, vivid examples, colorful graphics, intuitive explanations, and extraordinary problem sets all work together for an introduction to the course that is engaging and enduring.  Watch instructor video reviews here.
 
Now Rogawskis Calculus returns in a meticulously updated new edition, in a version designed specifically for AP courses.  Rogawskis Calculus for AP*, Second Edition features a new coauthor, Ray Cannon, formerly AP Calculus Chief Reader for the College Board.  Among other contributions, Dr. Cannon wrote this versions end-of-chapter multiple choice and Free Response Questions, giving students the opportunity to work the same style of problems they will see on the AP exam.
 
TEACHERS: Download now Rogawskis Calculus for AP*, Second Edition Early Transcendentals, featuring Chapter 3, Differentiation
 

Features

Conceptual Insights encourage the student to develop a conceptual understanding of calculus by explaining important ideas clearly but informally. This understanding is critically important if students are to succeed on the exam.
 
Graphical Insights make the crucial connection between graphical properties and the underlying concept. Another important skill for AP* success.
 
Assumptions Matter uses short explanations and well-chosen examples to help students appreciate why hypotheses are needed in theorems.

Reminders are margin notes that link back to important concepts discussed earlier.
 
Caution notes warn students of common pitfalls they can encounter in understanding the material.

Historical Perspectives are brief vignettes that place key conceptual discoveries and advancements in their historical settings. They give students a glimpse into past accomplishments of great mathematicians and an appreciation for their significance, one of the nine core goals of the AP* Calculus course.

Section Summaries offer a concise recap of key points. Unique to Rogawski’s texts, these summaries are among students’ favorite aspect.

Section Exercise Sets provide outstanding reinforcement and practice:

• Preliminary Exercises begin each exercise set and require little or no computation but serve to ensure students are on the ‘right page’ before beginning the core problem sets.
• Exercises vary in level of difficulty from routine, to moderate, to more challenging. Also included are questions appropriate for written response or use of technology, both problem types students face on the exam.
• Further Insights and Challenges help extend a section’s material involving far more complex and AP*-oriented problem-solving.
• Preparing for the AP* Exam features Ray Cannon’s AP* style multiple-choice and Free Response Quesitons.
• End-of-Chapter Review Exercises offer a comprehensive set of exercises closely coordinated with the chapter material.

New to This Edition

Table of Contents

1. Precalculus Review
2. Limits
3. Differentiation
4. Applications of the Derivative
5. The Integral
6. Applications of the Integral
7. Techniques of Integration
8. Further Applications of the Integral and Taylor Polynomials
9. Introduction to Differential Equations
10. Infinite Series
11. Parametric Equations, Polar Coordinates, and Vector Functions
12. Differentiation in Several Variables
 
Appendices
A. The Language of Mathematics
B. Properties of Real Numbers
C. Induction and the Binomial Theorem
D. Additional Proofs
 
Answers to Odd-Numbered Exercises
Answers to the Odd-Numbered Preparing for the AP Exam Questions
References
Photo Credits
Index

Headshot of Jon Rogawski

Jon Rogawski

Jon Rogawski received his undergraduate and master’s degrees in mathematics simultaneously from Yale University, and he earned his PhD in mathematics from Princeton University, where he studied under Robert Langlands. Before joining the Department of Mathematics at UCLA in 1986, where he was a full professor, he held teaching and visiting positions at the Institute for Advanced Study, the University of Bonn, and the University of Paris at Jussieu and Orsay. Jon’s areas of interest were number theory, automorphic forms, and harmonic analysis on semisimple groups. He published numerous research articles in leading mathematics journals, including the research monograph Automorphic Representations of Unitary Groups in Three Variables (Princeton University Press). He was the recipient of a Sloan Fellowship and an editor of the Pacific Journal of Mathematics and the Transactions of the AMS. As a successful teacher for more than 30 years, Jon Rogawski listened and learned much from his own students. These valuable lessons made an impact on his thinking, his writing, and his shaping of a calculus text. Sadly, Jon Rogawski passed away in September 2011. Jon’s commitment to presenting the beauty of calculus and the important role it plays in students’ understanding of the wider world is the legacy that lives on in each new edition of Calculus.

Headshot of Ray Cannon

Ray Cannon

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