MATH - 4243 Analysis II: Complex Variable (3)

Introduces complex analysis topics including complex numbers and functions of one complex variable, analytic functions and Cauchy-Riemann Equations, harmonic functions, elementary functions of one complex variable, contour integrals, Cauchy’s Integral Theorem, Taylor and Laurent series, theory of residues, and Riemann Sphere. May discuss conformal mappings analytic continuation, Riemann Surfaces, Mitteg-Leffler expansion of meromorphic functions. Equivalent to MATH-474. Prerequisite: MATH-2294.