Math 3124A/9024A Complex Analysis I, Fall 2020
NB: THE OFFICIAL COMPLETE COURSE OUTLINE IS COMING SOON. THE BASIC COURSE INFORMATION BELOW IS SUBJECT TO APPROVAL BY THE DEPARTMENT, AND MAY CHANGE.
Instructor: Artour Tomberg
Content: The Cauchy-Riemann equations, elementary functions, branches of the logarithm and argument, Cauchy's integral theorem and formula, winding number, Liouville's theorem and the fundamental theorem of algebra, the identity theorem, the maximum modulus theorem, Taylor and Laurent expansions, isolated singularities, the residue theorem and applications, the argument principle and applications.
Prerequisite: Math 2122A/B
Antirequisite: Math 3811A/B
Tentative mode of delivery: Live Zoom virtual lectures according to the schedule:
MWF 2:30-3:30 PM
(In case of technical or other difficulties, the mode of delivery may change to pre-recorded lectures)
Textbook: J. Bak and D. Newman, "Complex Analysis", Springer-Verlag (electronic copy available from the library catalogue)
32% homework assignments + 32% midterm + 36% final exam