Math 621: Complex analysis
Spring 2012

Instructor: Paul Hacking, LGRT 1235H, hacking@math.umass.edu

Meetings
Classes: Mondays, Wednesdays, and Fridays, 10:10AM - 11:00AM in LGRT 1334.
Office hours: Mondays 3:00PM-4:00PM and Tuesday 4:00PM-5:00PM, in my office LGRT 1235H.

Course text: Complex analysis, by E. Stein and R. Shakarchi, Princeton 2003. googlebooks.

Other useful references
Complex analysis by L. Ahlfors. googlebooks.

Prerequisites: Advanced Calculus. Students are expected to have a working knowledge of complex numbers and functions at the level of Math 421 for example.

Syllabus: We will cover Chapters 1-3 and 8 and other topics TBA. Class Log.

Homework
Homeworks will be due every 2 weeks at the beginning of Wednesday's class. (First homework due 2/8/12.)
Homework sets.

Exams
There will be one midterm exam and one final exam as follows: Midterm Wednesday 3/14/12, 7-8:30PM, location LGRT 1234, Final exam Thursday 5/3/12, 10AM-12PM, location LGRT 1334.
This course is also assessed via the complex analysis basic qualifying exam. General information. Syllabus.

Grading: Your course grade will be computed as follows: Homework 30%, Midterm 30%, Final 40%.

Overview of course

We will cover the basic theory of functions of one complex variable, at a pace that will allow for the inclusion of some non-elementary topics at the end. Basic Theory: Holomorphic functions, conformal mappings, Cauchy's Theorem and consequences, Taylor and Laurent series, singularities, residues, elliptic functions, other topics as time permits.

See also the syllabus for the complex analysis qualifying exam here.




This page is maintained by Paul Hacking hacking@math.umass.edu