Reading Assignments
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.
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MATHEMATICSThe mission of the Department of Mathematics is to support the mission of the University by providing mathematics majors with high quality programs; by offering high quality courses to majors in the sciences and to others who need mathematics in their field of study and research; by educating those students whose primary interest is not in a field requiring the highest level of mathematics by offering high quality quantitative reasoning and general education courses; by working on the frontiers of mathematical research in fields of interest to our faculty. |
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Citation: Zara, C. (2007, May 07). Calculus III. Retrieved November 22, 2009, from University of Massachusetts Boston Web site: http://ocw.umb.edu/mathematics/math-240.
Copyright 2008,
by the Contributing Authors.
This work is licensed under a
Creative Commons License.
