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21-356 Principles of Real Analysis II

Department:Mathematical Sciences
Prerequisites:21-241 and 21-259 and 21-355
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Topology in metric spaces, specialization to finite dimensional normed linear spaces. Vector differential calculus: continuity and the total derivative, partial derivatives, directional derivatives, gradients, Jacobians, the chain rule, implicit function theorem. Vector integral calculus: double and triple integrals, arclength and surface area, line integrals, Green's Theorem, surface integrals, Divergence and Stokes Theorems. If time permits: trigonometric series, Fourier series for orthonormal bases, minimization of square error. 3 hours lecture.

  Popularity index
Rank for this semester:#267
Rank in this department:#26

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  Spring 2005 times

Sec Time Day Instructor Location  
A 1:30 - 2:20 pm M Mizel DH 1211 Add course to my schedule
W Mizel DH 1211
F Mizel DH 1211

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