Math 5410 (Complex Analysis)
Fall 2023, UNT

Lecture: GAB 473, TR 9:30-10:50am

Instructor: Professor Olav Richter

• Office: GAB 412
• Office hours: Tu 3-5pm, Th 1-3pm, and by appointment
• email: richter@unt.edu

Course Description: Math 5410 is intended for all graduate students in mathematics. The course is highly recommended for students who are considering taking the complex analysis qualifying exam. Topics include: Elementary point set topology, analytic functions, complex integration, the general form of Cauchy`s integral theorem, Laurent series, isolated singularities, and the residue theorem.

Textbook: We will not follow a particular textbook very closely. However, most of the material that we will cover can be found in the following three books:

• Title: Complex Analysis
• Author: Lars V. Ahlfors
• Publisher: McGraw Hill

• Title: Functions of One Complex Variable
• Author: John B. Conway
• Publisher: Springer

• Title: Complex Analysis
• Author: Eberhard Freitag and Rolf Busam
• Publisher: Springer

Exams & Grading Policy: Your final grade will be based on homework, a midterm, and a comprehensive final. Homework assignments will be posted on canvas and you will upload your solutions on canvas. Your lowest homework score will be dropped.  Late homework will NOT be accepted for any reason. The midterm will tentatively be on October 17^th.  The final exam will be on December 15^th (10am-noon).  Please make sure that you are available at those dates, since there will be NO make up exams!  The grade is comprised of

• Homework (30%),
• Midterm (30%),
• Comprehensive Final (40%).