MATH205

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MATH 205 - Theory of Functions of a Complex Variable

Mathematics Graduate CLS - College of Letters and Science

Subject

MATH

Course Number

205

Department

Course Level

Graduate

Course Title

Theory of Functions of a Complex Variable

Course Description

Normal families. Riemann Mapping Theorem. Picard's theorem and related theorems. Multiple-valued analytic functions and Riemann surfaces. Further topics selected by the instructor may include: harmonic functions, elliptic and algebraic functions, boundary behavior of analytic functions and HP spaces, the Riemann zeta functions, prime number theorem.

Minimum Units

4

Maximum Units

4

Grading Basis

Default Letter Grade; S/U Option

Prerequisites

185

Repeat Rules

Course is not repeatable for credit.

Formats

Lecture

Term

Fall and Spring

Weeks

15 weeks

Weeks

15

Lecture Hours

3

Lecture Hours Min

3

Lecture Hours Max

3

Outside Work Hours

9

Outside Work Hours Min

9

Outside Work Hours Max

9