Time: MWF 2 pm
Location: Altgeld 243
Instructor: Marius Junge
Grader: jcho@ux1.cso.uiuc.edu
Book: Real Analysis by H. L. Roydon
Syllabus: Concerning the subjects we will follow Roydon's book
1) Set Theory
2) Topology oin the set of real numbers
3) Lebesque Measure
4) Integration
5) Classical Banach spaces
6) Whatever time permits
Warning: Roydon's text
is wonderful smooth. However, the interesting and difficult things are
hidden in the exercises. The content of the main text is not enough to
pass the comprehensive or for an appropriate understanding of the material.
Announcement: We
will form exercise groups of approxiamtely 3-4 stundents. Every group
will have to discuss
a couple of problem among themselves, with me and
post a final solution. This will part of the grading. I urge you to use
these groups for your weakly homework as well. We will also have
weekly exercises (worth 1/3 of the grade), midterms and the final (each
1/3).
Homework
hw5
due October 9 solutions
w5
Lecture plan
Chapter 1