MATH501 ANALYSIS
| Course Code: | 2360501 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. MURAT HAYRETTİN YURDAKUL |
| Offered Semester: | Fall Semesters. |
Course Objectives
This is an introductory graduate level-course to measure theory and integration theory.
Course Content
General measure and integration theory. General convergence theorems. Decomposition of measures. Radon-Nikodym Theorems. Outer measure. Caratheodory extension theorem. Product measures. Fubini's theorem. Riesz representation theorem.
Course Learning Outcomes
The student should be able to learn and apply fundamental techniques in measure and integration theory at the end of the course.