Math 533 Real Analysis 1

MWF 10AM, Lecture Center A6

13727

Henri Gillet, 405 SEO 3-2157 gillet@uic.edu

Office hours: TBA. You can also set up an appointment by e-mail. (Or just come knock on my door)

Text Folland, Real Analysis : Modern Techniques and Their Applications (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)  Second Edition

We will cover chapters 1, 2, 3.1, 3.2,  on measure and integration and 4.7, 5.5, Thm 6.6, and parts of 8.3 (Hilbert Spaces and L^2).

You are expected to know the material in chapter 0 already.

Grading: Homework 40%

Mid-Term 20%

Final 40%

There will be one midterm, in the 8th week (roughly) -- exact date  TBA

Supplementary Reading:

Some other books that you may find useful:

Rudin's Real and Complex Analysis 

Paul Halmos, Measure Theory, Springer Verlag

Kolmogorov and Fomin, Elements of the Theory of Functions and Functional Analysis, Dover. (There is another “translation” of this, with the title Introductory Real Analysis )

David A. Sprecher , Elements of Real Analysis, Dover