| Textbook |
|---|
Real Analysis (Fourth edition), by H. Royden and P. Fitzpatrick.
A Course in Abstract Analysis, by J. Conway.
| General information |
|---|
All lectures and problem sessions will take place in Haldeman 028.
| Instructor | Pierre Clare, 316 Kemeny Hall |
|---|---|
| Lectures | MWF 8:45 - 9:50 |
| Problem sessions | Th 9:00 - 9:50 |
| Office hours | Tu, Th 2:00 - 3:30 and by appointment |
| Homework and exams |
|---|
| Topic | Documents |
|---|---|
| Metric spaces | problem set, elements of solution |
| Arzelà-Ascoli and the Baire Category Theorems | problem set, elements of solution |
| Linear operators on Banach spaces | problem set, elements of solution |
| Duality | problem set, elements of solution |
| Midterm (04/30 - 05/01) | in-class part, elements of solution take-home part, elements of solution |
| Weak topologies | problem set, elements of solution |
| Banach and C*-algebras | problem set, elements of solution |
| Hilbert spaces | problem set, elements of solution |
| Fourier theory | problem set, elements of solution |
| Final Examination (05/30) | problems, elements of solution |
| The Honor Principle |
|---|
Collaboration on homework is permitted and encouraged. Any resource is allowed provided you reference it. But you must write up your solutions by yourself.
| Special considerations |
|---|
Students with disabilities who will be taking this course and may need disability-related classroom accommodations are encouraged to make an appointment to see their instructor as soon as possible.