Course: STAT 31470=CAAM 31470
Title: Applied Complex Analysis
Instructor: Timothy Roberts
Class Schedule: Sec 1: MW 11:00 AM–12:20 AM in TBA
Description: Complex analysis is a beautiful and deep theory for the calculus of functions of complex variables. It also presents a very useful set of tools for finding exact expressions, asymptotic expansions, approximations and even numerical schemes that are useful throughout applied mathematics and engineering. In this class we will cover the basic complex analytic tools and theorems needed to explore these applications, with the goal of using what we learn to understand and solve problems involving Fourier or Laplace transforms. Depending on time, the topics in the class will include: analytic functions, series, complex integration, Cauchy's formula, the maximum-modulus theorem, residue theory, and the argument principle.