MA598R: Measure Theory
In the summer of 2007, I had the pleasure to help a group of graduate students prepare for their Qualifying exams in Measure Theory. I taught the course MA598R, which was mainly a thorough review of Torchinsky’s “Real Variables”, together with guided sessions of problem-solving from previous Qualifying exams and lists of problems from Rudin, Torchinsky, Lieb-Loss, and other sources.
|Real Variables||Analysis (Graduate Studies in Mathematics) (See all Mathematical Analysis Books)||Principles of Mathematical Analysis, Third Edition (See all Mathematical Analysis Books)|
Lesson Plan and Assignments
Feel free to download the different problem sets below. In a near future I will also present hints and solutions to some of the harder exercises.
Monday, June 11
Wednesday, June 13
Abstract Measures. Lebesgue Measure.
Monday, June 18
Second chances: review of Measure Theory
Wednesday, June 20
Monday, June 25
Second chances: review of Measurable Functions.
Wednesday, June 27
Monday, July 2
Second chances: review of Integration
Wednesday, July 4
Monday, July 9
Third chances: review of Integration
Wednesday, July 11
Monday, July 16
Second chances: review of Lp spaces
Wednesday, July 18
Monday, July 23
Second chances: review of Advanced Topics.
Wednesday, July 25
Monday, July 30