MTH 355 - CUE: Complex Analysis

Course unit(s): 1
Prerequisite(s): MTH 240 Transition to Abstract Mathematics
Complex variables is an elegant subject, rich in both theory and applications. It has uses in a wide range of fields including engineering and the physical sciences, as well as in other sub-fields of mathematics, such as Number Theory and Partial Differential Equations. Core topics in this advanced seminar include Cauchy-Riemann conditions, analytic functions, Riemann surfaces, complex integration, Taylor and Laurent series, the calculus of residues, conformal mapping, harmonic functions, and Laplace transforms.