University at Buffalo 3 credits Mathematics
Functions (analytic, entire, meromorphic, etc.) of one complex variables, conformal mappings, singularities, complex integration. Cauchy theorem, Cauchy integral formula, power series, Laurent series, calculus of residues, analytic continuation, monodromy theorem. Riemann surfaces, theorems of Liouville, Weierstrass and Mittag-Leffler. Riemann mapping theorem. Picard theorems, approximation by rational functions and polynomials. Prerequisite: MTH 431-MTH 432, or the equivalent
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