Instructor: Rowan Killip, 6935 Math Sciences Building.
Office Hours: Killip: Fri 1:00-3:00pm + by appointment, in 6935 Math Sciences Building.
Exams: One in-class midterm: Wednesday, February 13th. Three-hour final: Tuesday, March 19, 3:00pm-6:00pm.
Homework: There will be weekly homework. It is due in class.
You are welcome (indeed encouraged) to discuss the problems amongst yourselves and to use whatever human, online, or printed sources you wish. However, you must write up your solutions in your own words; the loaning or copying of solutions is strictly forbidden.
Grading: Homework, 40%; Midterm 15%; Final 45%.
Syllabus: This course continues from 246A, covering the main topics in classical Complex Analysis at the graduate level and provides preparation for the complex analysis part of the Analysis Qualifying Exam.
There is no formal textbook. Probably the best match for the syllabus is
Complex Analysis by Elias M. Stein and Rami Shakarchi.
Other popular volumes on the subject are
Complex Analysis by Lars Ahlfors.
Complex Analysis by Ted Gamelin.
Analytic Functions by Stanislaw Saks and Antoni Zygmund, which is available online.
Our discussion of harmonic functions is strongly influenced by Chapter 2 of
Elliptic Partial Differential Equations of Second Order by David Gilbarg and Neil Trudinger.
and by Chapter 5 of
Partial Differential Equations I by Michael E. Taylor.
Homework Problems:
Homework 1, due Friday, Feb 1st.
Homework 2, due Wednesday, Feb 13th.
Homework 3, due Friday, Mar 1st.
Homework 4, due Friday, Mar 15th.