FALL 2025
Mariusz Mirek
Course Description
The course will present a rigorous introduction to the basic ideas of complex analysis, focusing on the study of functions of one complex variable and explaining in detail how this theory is fundamentally different from that of functions of one or several real variables.
REVIEW SESSIONS: TBD.
Text:
Real and Complex Analysis by Walter Rudin
Prerequisites:
Advanced Calculus. Some elementary set theory and metric topology.
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FALL 2024
Chi Li
Course Description
Complex analysis. Topics include: Cauchy's theorem, meromorphic functions/logarithm, Entire functions, Conformal mappings and applications.
REVIEW SESSIONS: TBD.
Text:
Complex Analysis; Elias M.Stein & Rami Shakarchi. Princeton Lectures in Analysis
Prerequisites:
Advanced Calculus
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FALL 2023
Alex Kontorovich
Course Description:
Complex Analysis
REVIEW SESSIONS: TBD.
Text:
Stein Shakarchi
Prerequisites:
None
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FALL 2022
Xiaojun Huang
Course Description:
Topics include: differentiability of complex functions, complex integration and Cauchy's theorem, series expansions, calculus of residues, conformal mapping, and various applications.
REVIEW SESSIONS: TBD.
Text:
Complex Analysis; Elias M.Stein & Rami Shakarchi. Princeton Lectures in Analysis
Prerequisites:
Advanced Calculus
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FALL 2021
Konstantin Matveev
Course Description:
MAT 503 is an introduction (at the graduate level) to Complex Analysis. Topics include: differentiability of complex functions, complex integration and Cauchy's theorem, series expansions, calculus of residues, conformal mapping, and various applications.
REVIEW SESSIONS: TBD.
Text:
Complex Analysis; Elias M.Stein & Rami Shakarchi. Princeton Lectures in Analysis
Prerequisites:
Mathematical maturity
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Schedule of Sections:
16:640:503 Schedule of Sections