# MAT 4 -- Spring 2011

## Integration and Fourier Theory

**3. lecture**
Thursday, 17 February, 12:30

Place: Room G5-109.

**The program for today**

- 12:30-13:00
- Repetition and some new stuff: simple functions (Theorem 1.17).
- 13:00-14:30
- Exercise session: prove in detail exercise 4 on page 31. Read the proof of Theorem 1.19 on page 16.
- 14:30-16:15
- Lecture: integration of positive functions, Lebesgue monotone convergence theorem (Theorem 1.26).

Written by
Horia Cornean.