Advanced Complex Analysis
Lecture
Main Campus
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.
MATH 117
Units: 4
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Typically Offered
Not Available
Grading Basis
Letter or Credit/No Credit
Class Level
Undergraduate
Instructional Mode
In Person
Gen Ed Requirement(s)
WAYS - Formal Reasoning (FR)