Math 523: Functions of a Complex Variable with Applications (FA25)

This course has now ended.

Course Details

Instructor: Thomas G. J. Chandler
Teaching Assistant: Jacob Marlow
Course Website: https://uncch.instructure.com/courses/103129
Lectures: TR 9:30 AM – 10:45 AM (Peabody Hall, Room 2028)
Instructor Office Hours: WR 10:30 AM – 12:00 PM (210 Pittsboro St., Room 201)
TA Office Hours: M 12:00 PM – 1:00 PM (Chapman Hall, Room 435), F 12:00 PM – 1:00 PM (Phillips Hall, Room 324C)
ULA Office Hours: R 2:15 PM – 3:15 PM (Dey Hall, Room 302)

Course Description

The algebra of complex numbers, elementary functions and their mapping properties, complex limits, power series, analytic functions, contour integrals, Cauchy's theorem and formulae, Laurent series and residue calculus, elementary conformal mapping and boundary value problems, Poisson integral formula for the disk and the half plane. Further details can be found on the course syllabus.

Course Material

Textbook: This course will primarily follow Complex Variables and Application, 9th Edition, by James Ward Brown & Ruel V. Churchill. While the textbook Complex Variables: Introduction and Applications, 2nd Edition, by Mark J. Ablowitz & Athanassios S. Fokas, will be used as additional resource.

Other material: Handwritten class notes, MATLAB code, homework, and midterm solutions will be provided.