EHB 235E - Theory of Complex Functions

Course Objectives

To teach the fundamental concept of complex analysis, i.e., complex plane, analytic function
and Riemann surface to engineering students, the residue theory and integration in complex plane, conformal
mapping and power series expansion. To apply the complex analysis methods to various electromagnetic
and signal processing problems.

Course Description

Definition of Complex plane, Riemann surface, multi-valued functions such as square-root and logarithmic
function. Derivative in complex domain, analytic function and Laplace equation. Introduction to conformal
mapping and its application to boundary value problems. Residue theorem and its application to evaluate
definite integrals. Infinite series, power series, Taylor and Laurent expansion of functions. Determination
of analytic continuation of function