Jinho Baik
530 Church Street
Dept. of Mathematics
University of Michigan Ann Arbor, MI 48109-1043
Office: 4071 East Hall
email: lastname at umich edu
Tel: (734) 763-2150
Fax: (734) 763-0937
Final Exam : Tuesday, 12/16, 1:40-3:30pm (link: university final exam schedule)
Office Hours: 12/4 (3-4pm), 12/10 (2-3pm), 12/11 (11-12am)
Homework
HW9 (due Friday, 12/5)
HW8 (due Friday, 11/14)
HW7 (due Friday, 11/7)
HW6 (Do NOT hand in)
HW5 (due Friday, 10/17)
HW4 (due Friday, 10/10)
HW3 (due Friday, 10/3)
HW2 (due Friday, 9/26)
HW1 (due Friday, 9/19)
Ofice Hours: W 3:30-4:30pm, Th 3-4pm, or by appointment
Class: MWF 12:10pm-1:00pm at 3088EH
Background: This is one of the basic courses for the first year graduate students in mathemiatics. The students are expected to have mathematical maturity of first year math graduate students, and have studied advanced calculus (Math 451) and are familiar with rigorous proofs and reasonings. Math 555 is an alternative course on complex analysis with more emphasis on applications.
Text: Complex Analysis by Lars V. Ahlfors, McGraw-Hill
We are not going to follow the text precisely, but plan to cover substantial part of the topics in the textbook.
Topics to be covered: complex numbers, power series, Cauchy 's theorem, Cauchy's integral formula, residues, conformal mappings, Liouville's theorem, argument principle, harmonic functions, normal families, Riemann mapping theorem, and various other topics.
Homework: Roughly one homework set per week
Exams: one midterm exam and one final exam
Grading: homework (30%), midterm exam (30%), final exam (40%)