CalculusGraphical, Numerical, Algebraic

Ross L. FinneyFranklin D. Demana The Ohio State University

Bert K. Waits The Ohio State University

Daniel Kennedy Baylor School

*AP is a registered trademark of the College Board, which was not involved in the production of, and doesnot endorse, this product.

T H I R D E D I T I O N

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*AP is a registered trademark of the College Board, which was not involved in the production of, and doesnot endorse, this product.

Library of Congress Cataloging-in-Publication Data

Calculus : graphical, numerical, algebraic / authors, Ross L. Finney … [et al.].--3rd ed.p. cm.

Includes index.ISBN 0-13-201408-4 (student edition)1. Calculus--Textbooks. I. Finney, Ross L.

QA303.C1755 2006515--dc22 2005052702

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0-13-201408-4

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Foreword

This text, as the edition before it, was especially designed and written for teachers and stu-dents of Advanced Placement Calculus. Combining the scholarship of Ross Finney andFrank Demana, the technological expertise of Bert Waits, and the intimate knowledge ofand experience with the Advanced Placement Program of Dan Kennedy, this text is trulyunique among calculus texts. It may be used, in perfect order and without supplementa-tion, from the first day of the course until the day of the AP* exam. Teachers who are newto teaching calculus, as well as those who are very experienced, will be amazed at theinsightful and unique treatment of many topics.

The text is a perfect balance of exploration and theory. Students are asked to explore manytopics before theoretical proof. The topic of slope fields, studied at the beginning of Chapter6 when differential equations are first introduced, has been considerably expanded. Locallinearity, stressed throughout the text, permits the early introduction of l’Hôpital’s Rule.When the definite integral is introduced, students are first asked to find total change givenover a specific period of time given a rate of change before they consider geometric appli-cations. The section on logistic growth––so important in real-life situations––has beenexpanded. Functions are defined graphically, with tables, and with words as well as alge-braically throughout the text. Problems and exercises throughout are based on real-life sit-uations, and many are similar to questions appearing on the AP* exams. The series chapteruses technology to enhance understanding. This is a brilliant approach, and is the way thatseries should be presented. Students studying series from this chapter will gain a unique andthorough understanding of the topic. This textbook is one of a very few that teaches whatconditional convergence means. Chapter 10, Parametric, Vector, and Polar Functions, cov-ers vectors of two dimensions, and is perfect for students of Calculus BC. This chapterteaches exactly what the AP* student is expected to know about vector functions.

Ross Finney has passed away since this new edition was started, but his influence andscholarship are still keenly felt in the text. Throughout his life, Ross was always a masterteacher, but even he was amazed at the insight and brilliance of the team of Dan, Frank,and Bert. This new edition is well prepared to take student and teacher on their journeythrough AP* Calculus, and I recommend it with the highest enthusiasm. There is no morecomfortable, complete conveyance available anywhere.

—Judith Broadwin

Judy Broadwin taught AP* Calculus at Jericho High School for many years. In addition, she was a reader, tableleader, and eventually BC Exam leader of the AP* exam. She was a member to the Development Committee for AP*Calculus during the years that the AP* course descriptions were undergoing significant change. Judy now teachescalculus at Baruch College of the City of New York.

*AP is a registered trademark of the College Board, which was not involved in the production of, and doesnot endorse, this product.

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