Course Number
625.703
Next Offered
Summer 2024
Location
Online
Course Format
Online

This course presents complex analysis with a rigorous approach that also emphasizes problem solving techniques and applications. The major topics covered are holomorphic functions, contour integrals, Cauchy integral theorem and residue integration, Laurent series, argument principle, conformal mappings, harmonic functions. Several topics are explored in the context of analog and digital signal processing including: Fourier transforms for functions over the reals and the integers, Laplace and z-transforms, Jordan’s lemma and inverse transforms computed via residue integration, reflection principle for lines and circles.

Course Prerequisite(s)

Mathematical maturity, as demonstrated by EN.625.601 Real Analysis, EN.625.604 Ordinary Differential Equations, or other relevant courses with permission of the instructor.

Course Offerings

Open

Complex Analysis

625.703.81
05/28/2024 - 08/22/2024
Semester
Summer 2024
Course Format
Online
Location
Online
Cost
$5,270.00
Course Materials