### MATH 6338 Real Analysis II

### Summer 2010

### MWF 9:20-10:30 Skiles 171

### Office Hours: MW 2:00-3:00 in Skiles 224

If you have problem to meet me during the scheduled or email me to set
an appointment.
#### Prerequisite

MATH 4317, 4318 (Analysis I, II)
#### Textbook

Gerald B. Folland, "Real Analysis", Wiley Inter-Science, 2nd Edition.

Will cover chapter 4, 5, and 6 from the book plus other argument using
prof. Heil notes
and other material.

#### Material available on line

Professor C. Heil material
for Math6338 Summer 08.
#### Grading

I will collect HW every 2 weeks for a total of 5/6 HW. On top there
will be two in class midterms and a in class final. Midterms and final
will be cumulative. The possibility of personal project will be
discussed later during the class. The grading scheme will be 25% HW,
35% midterms and 40% final.

**First week**

Material covered:

- 4.1 (Topological Spaces)
- 4.2 (Continuous Maps)
- 4.3 (Nets)

Exercises

- 4.1 4, 6, 9, 10
- 4.2 16, 21, 28
- 4.3 32, 34

**First week**

Material covered:

- 4.4 (Compact Spaces)
- 4.5 (Locally Compact Hausdorff Spaces)

Exercises

- 4.4 38, 43, 45
- 4.5 51, 56, 57