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Applied Calculus
by Hughes-Hallett, Deborah; Lock, Patti Frazer; Gleason, Andrew M.; Flath, Daniel E.; Lovelock, DavidEdition: 5th
Format: Paperback
Pub. Date: 2013-11-04
Publisher(s): John Wiley & Sons Inc
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Summary
The 5th Edition of Applied Calculus continues to exhibit the same strengths from earlier editions including a focus on creative conceptual and modeling problems and the "Rule of Four", an emphasis on concepts and modeling, exposition that teaches a flexible approach to technology. This issue provides readers with deeper skills needed to apply calculus on the job and highlights connections with real-world concerns. The problems and exercises are challenging and provoke deeper thinking to help apply math in new ways. The material is presented in a way to help readers decide when to use technology, which empowers them to learn what calculators/computers can and cannot do.
Author Biography
Dr. Deborah Hughes-Hallett is a Professor of Mathematics at the University of Arizona and Adjunct Professor of Public Policy at the Harvard Kennedy School.?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. She has co-authored a report for the National Academy of Science's Committee on Advanced Study in American High Schools, and is a member of the MAA Committee on Mutual Concerns and the College Board's Committee to review the new Math-SAT. In 1998 and 2002 she was co-chair of International Conference on the Teaching of Mathematics in Greece, attended by several hundred faculty from about 50 countries. In 2006, she chaired the third conference in this sequence in Istanbul, Turkey. She established programs for master's students at the Kennedy School of Government, precalculus, and quantitative reasoning courses (with Andy Gleason), and courses for economics majors.
Table of Contents
1. Functions and Change
2. Rate of Change: The Derivative
3. Short-Cuts to Differentiation.
4. Using the Derivative
5. Accumulated Change: The Definite Integral
6. Using the Definite Integral
7. Antiderivatives
8. Probability
9. Functions of Several Variables
10. Mathematical Modeling using Differential Equations
11. Geometric Series
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