| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Approximation Properties of Integral Operators | MAT638 | 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. Tuba TUNÇ |
| Instructors | |
| Assistants | |
| Goals | 1.Improving, deepening, statistically analyzing and commenting on the knowledge in the same or a different field to expertise level based on undergraduate qualifications. 2.Diagnosing interdisciplinary interaction related to the field. 3.Running a study demanding expertise independently in the field. 4.Critically evaluating the expertise level knowledge and skills acquired in the field, and redirecting learning |
| Course Content | Different type function and their appromiximation properties |
| Learning Outcomes |
- Student’s ability of commenting and thinking truely will improve and the students will get basic information about mathematics. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Operators on Hilbert Spaces | |
| 2. Week | Interpolation on Banach Spaces | |
| 3. Week | Integral Operators | |
| 4. Week | Applications of Integral Operators | |
| 5. Week | Bergman Spaces | |
| 6. Week | Bloch and Besov Spaces | |
| 7. Week | Toeplitz Operators on Bergman Spaces | |
| 8. Week | Midterm | |
| 9. Week | Hankel Operators on Bergman Spaces | |
| 10. Week | Hardy Spaces BMO | |
| 11. Week | Hankel Operators on Hardy Spaces | |
| 12. Week | Composition of Operators | |
| 13. Week | Operatoral Approach | |
| 14. Week | General Applications |
| Kehe Zhu, Operator Theory in Function Spaces, Marcel Dekker, Inc. New York, 1990. |
| V.I. Krylov, Approximate Calculation of Integrals, Dover Publication, New York, 1962. |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 4 | 0 | 60 |
| PY2 | 4 | 0 | 60 |
| PY4 | 4 | 0 | 60 |
| PY5 | 2 | 0 | 60 |
| PY6 | 4 | 0 | 60 |
| PY7 | 3 | 0 | 60,60 |
| PY8 | 3 | 0 | 60 |
| PY9 | 3 | 0 | 60 |
| PY10 | 3 | 0 | 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 | ||
