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Multivariable Calculus

Author(s): David B Damiano
Margaret N Freije
Details:
  • ISBN-13: 9780763782474
  • Hardcover    544 pages      © 2012
Price: International Sales $162.95 US List
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Overview

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Written for mathematics, science, and engineering majors who have completed the traditional two-term course in single variable calculus, Multivariable Calculus bridges the gap between mathematical concepts and their real-world applications outside of mathematics. The ideas of multivariable calculus are presented in a context that is informed by their non-mathematical applications. It incorporates collaborative learning strategies and the sophisticated use of technology, which asks students to become active participants in the development of their own understanding of mathematical ideas. This teaching and learning strategy urges students to communicate mathematically, both orally and in writing. With extended examples, and exercises and a student-friendly accessible writing style, Multivariable Calculus is an exciting and engaging journey into mathematics relevant to students' everyday lives.

ShowKey Features

  •  Available with WebAssign Online Homework and Grading System.
  • Connections between mathematics and the sciences are central to the text.
  • Selected applications appear in multiple contexts facilitating the use of different mathematical technigues to explore a physical model.
  • Includes Collaborative Learning exercises to be used for in-class discussion or as the basis for extended modeling exercises.
  • Applied topics are chosen from the physical sciences and the life sciences and include traditional applications from mechanics as well as biomedical applications.
  • Numerous exercises incorporate Maple as a tool to explore a topic in-depth or to investigate an extended application.
  • An instructor's manual is available and includes summaries of the collaborative learning exercises and suggestions for their use in tandem with the text.
     

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ShowTable of Contents

Chapter  1  Euclidean Space and Vectors
Chapter  2  Parametric Curves and Vector Fields
Chapter  3  Differentiation of Real-Valued Functions
Chapter  4  Critical Points and Optimization
Chapter  5  Integration
Chapter  6  Integration on Curves
Chapter  7  Integration on Surfaces
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ShowAbout the Author(s)

David B Damiano

David B. Damiano received his A.B. from Dartmouth College and Ph. D. from Brown University.  He held visiting positions at Princeton University and the University of California, Berkeley, before arriving at the College of the Holy Cross. He has extensive experience teaching all levels of undergraduate mathematics, both pure and applied, including directing numerous student research projects. His scholarly interests are in topology (knot theory) and applied mathematics (virus dynamics). He is also involved in efforts to improve high school mathematics education in the City of Worcester.

Margaret N Freije

Margaret N. Freije received her A.B. from Boston College and Ph. D. from Brown University. She has taught all levels of undergraduate mathematics at the College of the Holy Cross and was selected for the Distinguished Teaching Award at the College. In addition to teaching in the mathematics curriculum, she has been involved in interdisciplinary teaching through the College’s seminar program for first-year students. Her scholarly interests are in algebraic number theory. For the past five years she has served as Associate Dean of the College and has been involved in a number of curriculum reform efforts.

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ShowAppropriate Courses

Written for mathematics, science, and engineering majors who have completed the traditional two-term course in single variable calculus but have not yet taken a course in linear algebra.

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ShowSamples & Additional Resources

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