Syllabus for Math 380, Section X1, Fall 2005

Advanced Calculus

Texts: Vector calculus (third edition) by Susan Jane Colley

We will study 1.6 (n-dimensinal geometry, linear maps, determinants), 2.1-2.6 (differentiation of functions of several variables) , 3.3-3.4 (vector fields; gradient, curl and divergence operators), 4.1-4.3 (maxima and minima, Lagrange multipliers), 5.1-5.4 (double and triple integrals) [lightly], 5.5 (change of variables), 6.1-6.3 (line integrals), 7.1-7.4 (surface integrals; theorems of Stokes and Gauss), 8.1-8.3 (differential forms, manifolds, generalized Stokes's theorem).

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Last modified: August 22, 2005