MAT 203. Advanced Multivariable CalculusCourse Syllabus and Information, Fall 2009This course will cover most of the material contained in the bookVector Calculus5thedition, by J. Marsden and A. Tromba. We will begin by studying propertiesof vectors, cover the basics of calculus in two and three dimensions, and finishwith the theorems of Green, Gauss, and Stokes, and their applications.Topicswill include differentiation of real and vector valued functions, Taylor’s formula,Lagrange multipliers, integration in two and three-dimensional space and surfaceand line integrals. The material provides essential tools for physics, engineering,economics, and other sciences. The course moves rapidly and will require a se-rious amount of time and effort. We advise you to read the appropriate sectionsbefore the lectures. You may find theStudy Guide for Marsden and Tromba’s Vec-tor Calculusby F. Pao and F. Soon (W. H. Freeman and Co.5thedition, ISBN0-7167-0528-1) useful when doing homework.
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