Holomorphic and Harmonic functions and power series expansions. Complex integration. Cauchy's theorem and applications. Laurent series, singularities, Runge's theorem, and the calculus of residues. Additional topics may include Analytic continuation, Riemann surfaces, and conformal mapping.
Prerequisite(s): MATH 5210
and MATH 5310
. Recommended: MATH 4310
|Spring 2018||James T. Gill||MWF 2:10pm-3:00pm|