MATH 7204 — Complex Analysis
4 semester hoursGraduateLecturetypical days: M/W/ThBostonTraditional
Introduces complex analysis in one complex variable. Topics include holomorphic functions of one complex variable and their basic properties; geometrical and hydrodynamical interpretations of holomorphic functions; hyperbolic plane and its group of automorphisms; Cauchy-Riemann equations; Cauchy integral formula; Taylor series of holomorphic functions; Weierstrass and Runge theorems; Laurent series and classification of singular points of holomorphic functions; meromorphic functions; residues and their applications to the calculation of integrals; analytic continuation and Riemann surfaces; maximum principle and Schwarz lemma; the Riemann mapping theorem; elements of the theory of elliptic functions; entire functions, their growth, and distribution of zeros; asymptotic expansions; and Laplace method and saddle point method for finding asymptotics of integrals.
Prerequisites
Offering history
| Term | Sections | Enrolled | Capacity | Full | Open seats/section |
|---|---|---|---|---|---|
| Fall 2024 | 1 | 5 | 21 | 24% | 16.0 |
Snapshots from scheduled scrapes — not live seat availability. "Full" can exceed 100% when sections over-enroll.
Meeting times
Share of recent sections by weekday: M 100% · T 0% · W 100% · Th 100% · F 0%
Common patterns: MWR (100% of sections) — in patterns, R means Thursday
Professors
Fall
Percentages are each professor's average share of the season's enrolled students in recent terms.
Links
Official catalog (MATH course descriptions) · Student reviews on RateMyHusky · All MATH courses · Plan it at numap.app