MAT 5280 - Complex Analysis I (3)

The Cauchy-Goursat theorem; Cauchy’s integral theorems and consequences; regularity of analytic functions; sequences and series of analytic functions; analytic functions defined by integrals; meromorphic functions and the logarithm; singularities, poles, and the residue theorem; analytic continuation; the Fourier transform and the Paley-Wiener theorem; conformal mappings, normal families, and the Riemann mapping theorem.

Prerequisite(s): Graduate Standing and C or better in MAT 4280; or consent of instructor.
Component(s): Lecture
Grading Basis: Graded Only
Repeat for Credit: May be taken only once