Aktosun, Spring 2023, Math 5322

Instructor: Tuncay Aktosun, PKH 461, (817) 272-1545, aktosun@uta.edu

Course: Complex Variables I, Math 5322, Section 001, Course number 24947

Prerequisite: Math 5307 (Mathematical Analysis I)

Office Hours: 2:20 pm-3:20 pm, Monday and Wednesday and by appointment (all virtual)

Classroom: PKH 105 (Pickard Hall 105)

Classtime: 1:00 pm-2:20 pm, Monday and Wednesday

Textbook: There is not an official textbook for the course.

Some useful books:
Richard A. Silverman, Introductory complex analysis, Dover Publ., New York, 1984.
L. Ahlfors, Complex analysis, 3rd ed., McGraw-Hil, New York, 1979.
J. Brown and R. Churchill, Complex variables and applications, 8th ed., McGraw-Hil, New York, 2008.
M. J. Ablowitz and A. S. Fokas, Complex variables: Introduction and applications, 2nd ed., Cambridge University Press, Cambridge, 2003.
A. I. Markushevich, Theory of functions of a complex variable, 2nd ed., AMS Chelsea Publishing, Providence, RI, 1977.
V. I. Smirnov, A course of higher mathematics, volume III, part two, Pergamon Press, Reading, MA, 1964.
R. E. Greene and S. G. Krantz, Function theory of one complex variable, 3rd ed., AMS Publ., Providence, RI, 2006.
M. R. Spiegel, S. Lipschutz, J. J. Schiller, and D. Spellman, Schaum's outline complex variables, 2nd ed., McGraw-Hill, New York, 2009.
F. D. Gakhov, Boundary value problems, Pergamon Press, London, 2014.

Coverage: The covered material includes analytic functions, complex series, complex integration, residues and poles, contour integration, and conformal mapping. The topics to be covered are indicated in the course outline.

Grading: A letter grade will be assigned based on a class presentation. Unless otherwise indicated, all grades out of 100 will correspond to the following scale: 0 < F< 60, 60 < D < 70, 70 < C < 80, 80 < B < 90, 90 < A < 100.

Course outline
Sample problems 1
Sample problems 2
Sample problems 3
Sample problems 4
Biographies of mathematicians
Complex analysis (wikipedia)
Lecture notes from February 1, 2023
Lecture video from February 1, 2023

Tuncay Aktosun aktosun@uta.edu
Last modified: February 1, 2023