Instructor: Rowan Killip, 6935 Math Sciences Building.
T.A. Zaher Hani, 3919 Math Sciences Building.
Office Hours: Wed 5:00-7:00pm, or by appointment, in 6935 Math Sciences Building.
Exams: One in-class midterm: Monday November 2nd. Three-hour final: Wednesday, December 9, 2009, 8:00am-11:00am.
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 covers the main topics in classical Complex Analysis at the graduate level and provides preparation for the complex analysis part of the Analysis Qualifying Exam. Computational familiarity with the subject, such as is typically covered in undergraduate courses, will be assumed (though can reasonably be gained in parallel with a little extra effort). In part B of the course we plan to discuss some topics which require measure theory, so students are encouraged to take 245A in parallel with 246A if they are not already familiar with that topic.
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.
Homework Problems:
Homework 1. Due Oct 9.
Homework 2. Due Oct 16.
Homework 3. Due Oct 23.
Homework 4. Due Oct 30.
Homework 5. Due Nov 9.
Homework 6. Due Nov 20.
Homework 7. Due Dec 4.