Calculus: Single and Multivariable / Edition 6

by Deborah Hughes-Hallett, Andrew M. Gleason, William G. McCallum, Daniel E. Flath, Patti Frazer Lock

Overview

Instructor's Manual with Sample Exam Questions, Instructor's Solution Manual, Student's Solution Manual, Instructor's Resource CD-ROM available.

Product Details

ISBN-13:	9780470888612
Publisher:	Wiley
Publication date:	11/06/2012
Edition description:	Older Edition
Pages:	1248
Product dimensions:	8.60(w) x 11.40(h) x 1.70(d)

About the Author

Deborah Hughes Hallett is Professor of Mathematics at the University of Arizona and Adjunct Professor of Public Policy at the Harvard Kennedy School. With Andrew M. Gleason at Harvard, she organized the Calculus Consortium based at Harvard, which brought together faculty from a wide variety of schools to work on undergraduate curricular issues. She is regularly consulted on the design of curricula and pedagogy for undergraduate mathematics at the national and international level and she is an author of several college level mathematics texts. In 1998 and 2002 and 2006, she was co-chair of the International Conference on the Teaching of Mathematics in Greece and Turkey, attended by several hundred faculty from about 50 countries. She has designed courses in Brunei, Colombia and Niger. She was awarded the Louise Hay Prize and elected a fellow of the American Association for the Advancement of Science for contributions to mathematics education. Her work has been recognized by prizes from Harvard, the University of Arizona, and as national winner MAA Award for Distinguished Teaching. Deb was also recently awarded with the 2022 AMS Award for Impact on the Teaching and Learning of Mathematics. This award is given annually to a mathematician (or group of mathematicians) who has made significant contributions of lasting value to mathematics education.

Table of Contents

A Library of Functions.
Key Concept: The Derivative.
Short-Cuts to Differentiation.
Using the Derivative.
Key Concept: The Definite Integral.
Constructing Antiderivatives.
Integration.
Using the Definite Integral.
Series.
Approximating Functions.
Differential Equations.
Functions of Several Variables.
A Fundamental Tool: Vectors.
Differentiating Functions of Several Variables.
Optimization: Local and Global Extrema.
Integrating Functions of Several Variables.
Parameterization and Vector Fields.
Line Integrals.
Flux Integrals.
Calculus of Vector Fields.
Appendix A: Roots, Accuracy, and Bounds.
Appendix B: Polar Coordinates.
Appendix C: Complex Numbers.
Appendix D: Newton's Method.
Appendix E: Determinants.
Ready Reference.
Answers to Odd Numbered Problems.
Index.

Editorial Reviews

Focusing on a limited number of topics in more depth than is perhaps customary in a calculus text, this volume emphasizes the meaning, in practical, graphical, and numerical terms, of the symbols used. Chapters cover functions, the derivative and the definite integral, short-cuts to differentiation, using the derivative, constructive antiderivatives, integration, using the definite integral, approximations and series, differential equations, functions of several variables, vectors, differentiating functions of many variables, optimization, integrating functions of many variables, parameterized curves, vector fields, line integrals, flux integrals, and calculus of vector fields. Includes short answers to odd-numbered problems at the back of the book. Annotation c. by Book News, Inc., Portland, Or.

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