MATH117
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Advanced Complex Analysis
Course Description
Review of holomorphic and meromorphic 1-forms, product development, Gamma-function and Riemann zeta-function, Fourier series and integrals, Fourier and Laplace transforms, differential geometric and analytic approaches to Riemann surfaces and conformal mappings, introduction to hyperbolic geometry, Laplace and d-bar equations and their solvability, the Uniformization Theorem, divisors and line bundles, Riemann-Roch theorem, Abel Jacobi theory. Prerequisite: Math 116.
Grading Basis
ROP - Letter or Credit/No Credit
Min
4
Max
4
Course Repeatable for Degree Credit?
No
Course Component
Lecture
Enrollment Optional?
No
This course has been approved for the following WAYS
Formal Reasoning (FR)
Programs
MATH117
is a
completion requirement
for:
- (from the following course set: )
- (from the following course set: )