Stony Brook University 3 credits MAT
Complex numbers, analytic functions, the Cauchy-Riemann and Laplace equations, the Cauchy integral formula and applications. Fundamental Theorem of Algebra and the Maximum Principle. The Cauchy residue theorem and applications to evaluating real integrals. Conformal mappings. 3 credits Prerequisite: C or higher in the following: MAT 203 or MAT 220 or MAT 307 or AMS 261 Advisory Preq: MAT 200 or MAT 250
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