Undergraduate Catalog

MATH 352 Complex Functions

This course introduces the theory of analytic functions of a complex variable. Students use Fourier series, transforms and integrals to solve boundary-value problems. The complex Laplace transform and its inverse are also studied. The course presents theory of residues in relation to Fourier and Laplace integrals and transforms as well as conformal mapping. Students learn Cauchy’s integral formula, Cauchy-Riemann equations, and calculate Taylor’s and Laurent’s expansions.

Credits

3

Prerequisite

MATH 231

Offered

Fall Spring