Graduate Catalog 2019-2020

MTH 651 Functions of a Complex Variable(GLA)

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.