Math 412 Complex Analysis

Description:

Prerequisite: Math 350.

Topics to be selected from: Complex numbers and functions, Complex differentiation, Cauchy-Riemann equations, Analytic and harmonic functions, The elementary complex functions, Integration and contour integrals, Cauchy’s theorem and integral formulas, Maximum modulus theorem, Liouville's theorem, Fundamental theorem of algebra, Taylor and Laurent series, Residue theory and calculus, Argument principle and Rouche's theorem, Conformal transformations.
Units: (3)