Jacob Bernstein 


Math 407: Honors Complex AnalysisCourse DescriptionThis is a rigorous introduction to complex analysis and is considered an Introduction to Proofs (IP) course. Topics covered in the course will include, review of complex numbers, Cauchy's theorem, holomorphic and meromorphic functions and some applications of complex analysis. There will be 10 problem sets (30% of final grade), and two in class exams (70% total  your higher score will count for 40% and your lower score for 30%). Lectures are Tuesday and Thursday 121:15pm in Krieger 306.
Problem sets will be due in class on Thursday (see below for dates and the assignments). No late homework will be accepted. Your lowest grade will be dropped. Lecturer office hours: Tuesday 1:303:30pm or by appointment, in Krieger 408. TA (Xiangze Zeng) office hours: Wednesday, 34pm in Krieger 211. The syllabus is here. ReferencesThe course text is
ExamsThere will be two in class exams. The exam you score higher on will count for 40% of your final exam and the one you score lower on will count for 30%.(Tentative) ScheduleWeek 1 (9/5 & 9/7): PreliminariesWeek 2 (9/12 & 9/14): Cauchy's TheoremWeek 3 (9/19 & 9/21): Cauchy's Theorem (cont.)Week 4 (9/26 & 9/28): Meromorphic FunctionsWeek 5 (10/3 & 10/5): Meromorphic Functions (cont.)Week 6 (10/10 & 10/12): Meromorphic Functions (cont.); First ExamWeek 7 (10/17 & 10/19): Meromorphic Functions (cont.)Week 8 (10/24 & 10/26): Fourier AnalysisWeek 10 (10/31 & 11/2): Fourier Analysis (cont.); Entire FunctionsWeek 11 (11/7 & 11/9): Entire Functions (cont.)Week 12 (11/14 & 11/16): Gamma and Zeta FunctionsWeek 13 (11/28 & 11/30): Zeta and the Prime Number TheoremWeek 14 (12/5 & 12/7): Second Exam 