MATH 240 - Calculus III , Fall 2006

This course is an introduction to the calculus of functions of several variables. It begins with studying the basic objects of multidimensional geometry: vectors and vector operations, lines, planes, cylinders, quadric surfaces, and various coordinate systems. It continues with the elementary differential geometry of vector functions and space curves. After this, it extends the basic tools of differential calculus - limits, continuity, derivatives, linearization, and optimization - to multidimensional problems. The course will conclude with a study of integration in higher dimensions, culminating in a multidimensional version of the substitution rule.

Calculus III Catalin Zara, Ph.D. Mathematics University of Massachusetts - Boston Course Structure: 75 minute long classes - twice a week

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Course Description

This course is an introduction to the calculus of functions of several variables. It begins with studying the basic objects of multidimensional geometry: vectors and vector operations, lines, planes, cylinders, quadric surfaces, and various coordinate systems. It continues with the elementary differential geometry of vector functions and space curves. After this, it extends the basic tools of differential calculus - limits, continuity, derivatives, linearization, and optimization - to multidimensional problems. The course will conclude with a study of integration in higher dimensions, culminating in a multidimensional version of the substitution rule.

Copyright 2008, by the Contributing Authors. Cite/attribute Resource. administrator. (2007, May 07). Calculus III. Retrieved January 07, 2009, from University of Massachusetts Boston Web site: http://ocw.umb.edu/mathematics/math-240. This work is licensed under a Creative Commons License.