Course Descriptions

16:640:503 - Theory of Functions of a Complex Variable I

Alex Kontorovich

Course Description:

MAT 503 is an introduction (at the graduate level) to Complex Analysis, one of the most beautiful subjects in all of mathematics. Topics include: differentiability of complex functions, complex integration and Cauchy's theorem, series expansions, calculus of residues, conformal mapping, and time permitting, the Prime Number Theorem.

REVIEW SESSIONS: TBD.

Text:

Complex Analysis; Elias M.Stein & Rami Shakarchi. Princeton Lectures in Analysis

Prerequisites:

Mathematical maturity

 


Schedule of Sections:


Previous Semesters