Math 725: Graduate Analysis II. Spring 2018
- Lectures: MWF 9:55-10:45 in B119 Van Vleck
- Office hours: W 1:15-2:15 in 721 VV, F 2:50-3:50 in 721 VV. I will have time most days right after class.
- No office hours on on Friday, April 13.
- Topics: Lp spaces, Radon measures, Fourier analysis, distributions, Sobolev spaces, and selected topics in functional analysis (as time permits)
- Assignments: Roughly 12 homework assignments and two in-class exams. Exam dates are Wednesday, March 14, and Friday, May 4 (the last day of class). Exam 1 will cover the material in weeks 1-7, and Exam 2 will be cumulative, with a disproportionate emphasis on weeks 8-13 (of our 14 week semester).
- Grading: 75% homework, 25% exams. There will be some peer grading of homework. A part of your homework grade will be based on peer evaluation, and a part of your homework grade will be based on the feedback you give to your peers.
- Academic integrity: All submitted work must be written in your own words. You may discuss homework problems with your peers, but you are expected to do the actual writeup of your solutions alone, with no resources other than the class notes/texts. Give appropriate credit for the ideas of others (including webpages, discussion boards, and your peers). Exams are to be done without books, notes, or discussion. At a minimum, violations will result in a zero on the assignment in question.
- I encourage you to make a serious effort to solve the homework problems on your own, before you consult classmates or other outside resources.
- Office Hours: M 10:55-11:55 in 721 VV, F 2:50-3:50 in 721 VV
- Texts: The official class text is Folland. Rudin's Functional Analysis, Lieb and Loss's Analysis, and Stein-Shakarchi's Functional Analysis may also be helpful, but are not mandatory.