Multivariable Calculus

Multivariable Calculus, 2/e

Gerald L. Bradley, Claremont - McKenna College
Karl J. Smith, Santa Rosa Junior College

Published September, 1998 by Prentice Hall Engineering/Science/Mathematics

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Calculus-Mathematics

Multivariable Calculus-Mathematics

Summary

This text was the first written to blend much of the best aspects of calculus reform with the reasonable goals and methodology of traditional calculus. While incorporating much of calculus reform, Calculus, 2/e does not “throw the baby out with the bath water.” Calculus should not be a terminal course, but rather, one that prepares students in engineering, science, and math to move on to more advanced and necessary career or professional courses. This text addresses topics such as continuity, parametric equations, polar coordinates, sequences, and series. In short, this text is an attempt at Reform with Reason. The second edition now features a new chapter on differential equations.

NEW—A chapter on differential equations has been added.
NEW—Modeling was added as a major theme in this edition. In Section 2.1, modeling is introduced and then included in almost every section of the book. These applications are designated MODELING PROBLEMS.
NEW—Notes from the history of calculus are presented in the form of problems which lead the reader from the development of a concept to actually participating in the discovery process. These are designated as Historical Quest problems, which are not designed to be “add-on or challenge problems”, but they were crafted to become an integral part of the usual set of assigned problems. The level of difficulty of Quest problems ranges from easy to difficult.
NEW—A more streamlined text layout with clearer art presentation.
NEW—A calculus Website which provides a Net Tutor, interactive quizzes, links to other math sites, and a syllabus builder. FEATURES
Students benefit from innovative pedagogy and a superb range of problems.
Concepts are presented using the “Rule of Three” to reinforce and strengthen important ideas.
Qualitative and quantitative problems demonstrate an extremely wide variety of mathematical, engineering, scientific, and social models.
“What This Says” summarizes important ideas in words the students can understand. In turn, there are questions called “What Does This Say?” to encourage students to put their ideas into words.
“Journal Problems”, “Think Tank Problems”, and “Putnam Problems” require original mathematical thinking.

Table of Contents
(NOTE: Each chapter concludes with a Review and a Group Research Project or a Guest Essay.)

10. Vectors in the Plane and in Space.
11. Vector-Valued Functions.
12. Partial Differentiation.
13. Multiple Integration.
14. Vector Analysis.
15. Introduction to Differential Equations.
Appendices:
A. Introduction to the Theory of Limits.
B. Selected Proofs.
C. Significant Digits.
D. Short Table of Integrals.
E. Answers to Selected Problems.
F. Credits.