| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Advanced Functional Analysis II | MAT527 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assoc. Prof. Dr. Fatih HEZENCİ |
| Instructors |
Emrah Evren KARA |
| Assistants | |
| Goals | Teaching high level of mathematics to graduate degree students. |
| Course Content | Linear Operators,Some Special Theorems,Scalar Product Spaces ,Hilbert Spaces,Banach Algebra |
| Learning Outcomes |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Linear Operators | |
| 2. Week | Linear Operators | |
| 3. Week | Some Special Theorems | |
| 4. Week | Some Special Theorems | |
| 5. Week | Scalar Product Spaces | |
| 6. Week | Scalar Product Spaces | |
| 7. Week | Scalar Product Spaces | |
| 8. Week | Midterm | |
| 9. Week | Hilbert Spaces | |
| 10. Week | Hilbert Spaces | |
| 11. Week | Banach Algebra | |
| 12. Week | Banach Algebra | |
| 13. Week | Banach Algebra | |
| 14. Week | Banach Algebra |
| 1-Bayraktar, M., Fonksiyonel Analiz, Atatürk Üniversitesi Yayınları, 1992. |
| 2-Kreyszing, E., Introductory Functional Analysis with Application, John Wiley and Sons, New York, 1987. |
| Program Requirements | Contribution Level | Measurement Method |
|---|---|---|
| PY1 | 4 | 60 |
| PY2 | 4 | 60 |
| PY3 | 5 | 60 |
| PY4 | 2 | 60 |
| PY5 | 4 | 60 |
| PY6 | 5 | 60 |
| PY7 | 2 | 60 |
| PY8 | 5 | 60 |
| PY9 | 2 | 60 |
| PY10 | 3 | 60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 3 | 42 |
| Research | 14 | 2 | 28 |
| Midterm 1 | 1 | 2 | 2 |
| Midterm 2 | 1 | 2 | 2 |
| Homework 1 | 14 | 3 | 42 |
| Homework 2 | 14 | 2 | 28 |
| Quiz 1 | 1 | 2 | 2 |
| Quiz 2 | 1 | 2 | 2 |
| Final | 1 | 2 | 2 |
| Practice | 6 | 6 | 36 |
| Classroom Activities | 14 | 1 | 14 |
| Total Workload | 200 | ||
| ECTS Credit of the Course | 8.0 | ||
