MTH 5555 - Complex Analysis

(4 credits)

Analytic functions and the Cauchy-Riemann equations. Cauchy Integral Theorem, Cauchy integral formula, argument principle, Rouche’s theorem. Taylor and Laurent series. Singularities and residues. Conformal mapping.

Prerequisite(s): Required background: a course in advanced calculus.

Recommended prerequisite(s): A course in complex variables is recommended.

Comments: Formerly MTH 555.

Course revisions made after the Graduate Catalog publication date will be posted in the Graduate Catalog Addendum.