A Lab Course with MicroCalc® For information about site licenses for MicroCalc use in course instructions, please contact Springer-Verlag: James Chin MathematicslStatistics Product Manager 1-80o-SPRINGE(R) ext. 582 (1-800-777-4643 ext. 582) 1-212-460-1582 e-mail:
[email protected] Springer Science+Business Media, LLC A Lab Course with MicroCalc® HARLEY FLANDERS University of Michigan, Ann Arbor Springer Textbooks in Mathematical Sciences Series Editors Thomas F. Banchoff Jerrold Marsden Brown University California Institute ofTechnology Keith Devlin Stan Wagon St. Mary's College Macalester College Gaston Gonnet ETH Zentrum, Zurich MicroCalc software copyright Harley Flanders. Library of Congress Cataloging-in-Publication Data Flanders, Harley. Calculus : a lab course with MicroCalc / Harley Flanders . p. em. - (Textbooks in mathematical sciences) Includes index. 1. Calculus-Data processing . 2. MicroCalc. 1. Title. II. Series. QA303.5.D37F585 1996 515'.0285-dc20 95-44876 Printed on acid-free paper. © 1996 Springer Science+Business Media New York Originally published by Springer-VerlagNew York, Inc in 1996. All rights reserved. Production managed by Bill Imbornoni ; manufacturing supervised by Jacqui Ashri. Camera-ready copy provided by the author. 9 876543 2 ISBN 978-0-387-94496-8 ISBN 978-1-4757-2480-6 (eBook) DOI 10.1007/978-1-4757-2480-6 Contents v Contents Preface IX 1 Functions and Graphs 1 1.1 Overview . 1 1.2 Polynomials . 4 1.3 Quadratic Polynomials 8 1.4 Cubics and Degree . .11 1.5 Rational Functions . · 14 1.6 Degree, Algebraic Functions · 18 1.7 Zeros and Extrema . .. 20 1.8 Trigonometric Functions .23 1.9 Exponential Functions .28 1.10 Combining Functions .