| Code |
Course Name |
Language |
Type |
| MAT 437 |
Real Analysis II |
Turkish |
Elective |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
6 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
MAT 272 MIN DD
or MAT 272E MIN DD
or MAT 288 MIN DD
or MAT 288E MIN DD
|
| Class Restriction |
None |
| Course Description |
| The concept of measure. Measurable sets on plane and R^n . Inner and outer measure functions. General measure. The
extension of measure function. Properties of measurable sets. Cantor and Borel sets. Measurable functions. Lebesgue’s integral.
The properties of Lebesgue’s integral. The notions of convergence. Comparison of Lebesgue’s with Riemann’s integral. The
theorems of Lebesgue, Fatou and Levi. The measure of product. Lebesgue’s integral on product spaces. Fubini’s theorem. |
|
