Complex Analysis (4156/) 9056 Fall 2017

Course information

Rasul Shafikov (emails will be answered within 48 hours).
Office hours: Thursdays 10 - 11.30 AM in MC 112
Course Coordinates:
Course meets Tuesday 10:30 AM - 12:30 PM, Thursday 11.30 AM - 12.30 PM in MC107. OWL Login: MATH 9056A
Text Book:
There is no required texbook for the course. Recommended texts are as follows:
"Complex Analysis" by Theodore W. Gamelin, Springer;
"Functions of One Complex Variable I" by J. Conway;
"The Theory and Practice of Conformal Geometry" by Steven G. Krantz, Dover, 2016;
"Function Theory of One Complex Variable" by R. Greene and S. Krantz;
Mathematics 3124 or equivalent
Homework = 50%, Midterm=20%, Final examination = 30%.
We will cover the following topics: Mobius tranformations, The Argument Principle, Runge's theorem, Montel's theorem, the Riemann mapping theorem, Caratheodory's theorem. Time permitted, we may also cover some advanced topics at the end of the course


Homework will be assigned on a regular basis and will include routine exercises as well as some challenging problems. Students registered in Math 9056 will be given additional problems.
  1. Assignment 1, due Oct 3
  2. Assignment 2, due Oct 19
  3. Assignment 3, due Nov 9
  4. Assignment 4, due Nov 23
  5. Assignment 5, due Dec 5


  1. There will be an in-class Midterm on October 24 (mark your calendar now!)
  2. The Final Exam will be on Sunday, December 10, 10 AM - 1 PM. Location TC 202. The exam covers the material of the whole course.

  3. No electronic devices are allowed on the texts!

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