MATH-4300

Introduction to Complex Variables: Theory and Applications

An introduction to the theory and applications of complex variables. Topics include analytic functions, Riemann surfaces, complex integration, Taylor and Laurent series, residues, conformal mapping, harmonic functions, and Laplace transforms. Applications will be to problems in science and engineering such as fluid and heat flow, dynamical systems, and electrostatics. Prerequisite: MATH- 2010 or equivalent. Spring term annually.

4 credit hours