Graduate Catalog 2012-2013
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MTH 651 Functions of a Complex Variable
4 hours; 4 credits
Complex differentiation and the Cauchy-Riemann conditions. Complex integration and Cauchy’s theorem. Cauchy’s integral formulas and related theorems: Morera’s theorem, Liouville’s theorem, and maximum modulus theorem. Infinite series: Taylor’s and Laurent series. The residue theorem. Evaluation of integrals and series. Conformal mapping.
Prerequisite: MTH 233 or MTH 236 or permission of the department
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