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MAT 203. Advanced Multivariable Calculus
Course Syllabus and Information, Fall 2009
This course will cover most of the material contained in the book
Vector Calculus
5
th
edition, by J. Marsden and A. Tromba. We will begin by studying properties
of vectors, cover the basics of calculus in two and three dimensions, and finish
with the theorems of Green, Gauss, and Stokes, and their applications. Topics
will include differentiation of real and vector valued functions, Taylor’s formula,
Lagrange multipliers, integration in two and three-dimensional space and surface
and 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 sections
before the lectures. You may find the
Study Guide for Marsden and Tromba’s Vec-
tor Calculus
by F. Pao and F. Soon (W. H. Freeman and Co.
5
th
edition, ISBN
0-7167-0528-1) useful when doing homework.
Every student should attend the 7-9 PM Tuesday evening study sessions (Fine 110)

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