## Complex Analysis (4156/) 9056 Fall 2017

### Course information

##### Instructor:

Rasul Shafikov (emails will be answered within 48 hours).Office hours: Thursdays 10 - 11.30 AM in MC 112

Announcements:

##### 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;

##### Prerequisites:

Mathematics 3124 or equivalent##### Evaluation:

Homework = 50%, Midterm=20%, Final examination = 30%.##### Content:

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

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.

- Assignment 1, due Oct 3
- Assignment 2, due Oct 19
- Assignment 3, due Nov 9
- Assignment 4, due Nov 23
- Assignment 5, due Dec 5

### Exams

- There will be an in-class Midterm on October 24 (mark your calendar now!)
- 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.
- For UWO Policy on Accommodation for Medical Illness see: Accommodation for Illness - Undergrads
- Downloadable Student Medical Certificate (SMC): under the Medical Documentation heading.
- Students seeking academic accommodation on medical grounds for any missed tests, exams, participation components and/or assignments worth 10% or more of their final grade must apply to the Academic Counselling office of their home Faculty and provide documentation. Academic accommodation cannot be granted by the instructor or department.
- Students who are in emotional/mental distress should refer to Mental Health@Western http://www.uwo.ca/uwocom/mentalhealth/ for a complete list of options about how to obtain help.

No electronic devices are allowed on the texts!

### Senate Regulations on Scholastic Offences

Please note the following points, which are required to be stated in this outline by the Senate regulations.

Scholastic offences are taken seriously and students are directed to read the appropriate policy, specifically, the definition of what constitutes a Scholastic Offence, at the following Web site: http://www.uwo.ca/univsec/handbook/

Specifically, the following document outlines scholastic discipline for graduate students: http://www.uwo.ca/univsec/handbook/appeals/scholastic_discipline_grad.pdf