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