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He has published a number of research articles on the applications of partial differential equations as well as on computational problems in x-ray tomography.
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Professor Smith’s mathematical interests are in the application of mathematics to problems in engineering and the physical sciences. in mathematics from the University of Delaware in 1982. Prior to that, he was on the faculty at Virginia Tech. Smith is Professor of Mathematics and Dean of the School of Science and Mathematics at Millersville University of Pennsylvania, where he has been a faculty member since 1987. QA303.2.S653 515-dc22ĭE DIC ATION To Pam, Katie and Michael To Jan, Kelly and Greg And in memory of our parents: George and Anne Smith and Paul and Mary Frances Minton Calculus : early transcendental functions / Robert T. Library of Congress Cataloging-in-Publication Data Smith, Robert T. Typeface: 10/12 Times Roman Printer: Quad/Graphics All credits appearing on page or at the end of the book are considered to be an extension of the copyright page. Janssen Cover Designer: Ron Bissell c Gettyimages/George Diebold Photography Cover Image: � Senior Photo Research Coordinator: John C. Selle Senior Buyer: Sandy Ludovissy Lead Media Project Manager: Judi David Senior Designer: Laurie B. 1 2 3 4 5 6 7 8 9 0 QVR/QVR 1 0 9 8 7 6 5 4 3 2 1 ISBN 978–0–07–353232–5 MHID 0–07–353232–0 Vice President, Editor-in-Chief: Marty Lange Vice President, EDP: Kimberly Meriwether David Senior Director of Development: Kristine Tibbetts Editorial Director: Stewart K.
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Some ancillaries, including electronic and print components, may not be available to customers outside the United States. No part of this publication may be reproduced or distributed in any form or by editions � any means, or stored in a database or retrieval system, without the prior written consent of The McGraw-Hill Companies, Inc., including, but not limited to, in any network or other electronic storage or transmission, or broadcast for distance learning. S MITH Millersville University of PennsylvaniaĬALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, FOURTH EDITION Published by McGraw-Hill, a business unit of The McGraw-Hill Companies, Inc., 1221 Avenue of the Americas, c 2012 by The McGraw-Hill Companies, Inc.
WHAT DOES LZ MEAN IN AVP EXTINCTION SERIES
0.2 Graphing Calculators and Computer Algebra SystemsĠ.4 Trigonometric and Inverse Trigonometric FunctionsĠ.5 Exponential and Logarithmic Functionsġ.1 A Brief Preview of Calculus: Tangent Lines and the Length of a Curveġ.5 Limits Involving Infinity Asymptotesġ.7 Limits and Loss-of-Significance ErrorsĢ.3 Computation of Derivatives: The Power RuleĢ.6 Derivatives of Trigonometric FunctionsĢ.7 Derivatives of Exponential and Logarithmic FunctionsĢ.8 Implicit Differentiation and Inverse Trigonometric Functionsģ.1 Linear Approximations and Newton’s Methodģ.2 Indeterminate Forms and l’Hˆopital’s Ruleģ.5 Concavity and the Second Derivative Testģ.9 Rates of Change in Economics and the Sciencesĥ.6 Applications of Integration to Physics and EngineeringĦ.3 Trigonometric Techniques of IntegrationĦ.4 Integration of Rational Functions Using Partial FractionsĦ.5 Integration Tables and Computer Algebra Systemsħ.4 Systems of First-Order Differential EquationsĨ.3 The Integral Test and Comparison TestsĨ.5 Absolute Convergence and the Ratio Testĩ Parametric Equations and Polar Coordinatesĩ.1 Plane Curves and Parametric Equationsĩ.3 Arc Length and Surface Area in Parametric Equationsġ1.2 The Calculus of Vector-Valued Functionsġ2 Functions of Several Variables and Partial Differentiationġ2.4 Tangent Planes and Linear Approximationsġ2.6 The Gradient and Directional Derivativesġ2.7 Extrema of Functions of Several Variablesġ2.8 Constrained Optimization and Lagrange Multipliersġ3.3 Double Integrals in Polar Coordinatesġ3.8 Change of Variables in Multiple Integralsġ4.3 Independence of Path and Conservative Vector Fieldsġ5.1 Second-Order Equations with Constant Coefficientsġ5.2 Nonhomogeneous Equations: Undetermined Coefficientsġ5.3 Applications of Second-Order Equationsġ5.4 Power Series Solutions of Differential EquationsĪppendix B: Answers to Odd-Numbered ExercisesĬalculus EARLY TRANSCENDENTAL FUNCTIONS Fourth Edition