| Instructor: | Tomas Schonbek |
|---|---|
| S & E 218, Ext. 7-3355 | |
| e-mailschonbek@acc.fau.edu | |
| Office Hours: | MWF 1:00-2:50 PM |
| or by appointment | |
| Textbook: | Real and Complex Analysis |
| by | |
| W. Rudin | |
| McGraw-Hill, 1987 |
Course Description
Real Analysis is a classic measure theory and integration course. How far we go may depend on our combined enthusiasm and individual efforts, but we should at least learn the basics of the theory: Measure Spaces, the Lebesgue Integral, Extension of Measures, the main theorems on convergence of integrals: Lebesgue's Monotone Convergence Theorem, Fatou's Lemma, Lebesgue's Dominated Convergence Theorem. My hope is that we'll have an interesting and challenging course, not challenging enough to destroy anybody, but also not so easy as to have people sleepwalking their way through it. You should remember that one of the major sources of difficulty in mathematics is not being sufficiently prepared for a topic, so don't throw your introductory analysis books away yet. You may have to occasionally refresh your memory on some of the topics studied then. I plan to start, in fact, reviewing some introductory analysis topics such as sups and infs, lim inf and sup and series before moving on to measure theory.Grading Procedures
I'll be assigning homework on a regular basis. Assume that homework is due one week after being assigned. Your grade will be based on the homework.