Introduction to Complex Analysis

3 credits · Undergraduate

This course is an introduction to complex analysis. Topics include complex numbers and topology of the complex plane, theory of analytic functions, precise definition of limit and continuity, harmonic functions, contour integration, Cauchy's integral theorem and integral formula, bounds for analytic functions and applications, Taylor and Laurent expansions of analytic functions, zeros and singularities of analytic functions, and residue theory. Prerequisite(s): MATH 200-3 or MATH 202-3 Preclusion(s): MATH 201-3