by Paul Dawkins
Publisher: Lamar University 2011
Number of pages: 287
These lecture notes should be accessible to anyone wanting to learn Calculus III or needing a refresher in some of the topics from the class. The notes assume that the reader has a good working knowledge of limits, derivatives, integration, some integration techniques, parametric equations, vectors, and three dimensional space.
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A textbok on elementary multivariable calculus, the covered topics: vector algebra, lines, planes, surfaces, vector-valued functions, functions of 2 or 3 variables, partial derivatives, optimization, multiple, line and surface integrals.
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This book presents the necessary linear algebra and then uses it as a framework upon which to build multivariable calculus. This is the correct approach, leaving open the possibility that at least some students will understand the topics presented.
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