| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Applied Functional Analysis | MAT518 | 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 |
Fatih HEZENCİ |
| Assistants | |
| Goals | Teaching high level of mathematics to graduate degree students. |
| Course Content | Basics of set theory, Metric and topology spaces, Linear normed spaces, Linear functionals and operators, Measurement,Measurable functions and integration, Spaces of summable functions, Elements of differential calculation in linear spaces |
| Learning Outcomes |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Basics of set theory | |
| 2. Week | Metric and topology spaces | |
| 3. Week | Metric and topology spaces | |
| 4. Week | Linear normed spaces | |
| 5. Week | Linear normed spaces | |
| 6. Week | Linear functionals and operators | |
| 7. Week | Linear functionals and operators | |
| 8. Week | Midterm | |
| 9. Week | Spaces of summable functions | |
| 10. Week | Spaces of summable functions | |
| 11. Week | Spaces of summable functions | |
| 12. Week | Elements of differential calculation in linear spaces | |
| 13. Week | Elements of differential calculation in linear spaces | |
| 14. Week | Elements of differential calculation in linear spaces |
| 1.Elements of Functional Analysis, Brown A.L., Page A., New York : Van Nostrand Reinhold Company, 1970. |
| 2.Theory of Linear Operators in Hilbert Space, Ahiezer N.I., Glazman I.M., New York, Ungar, 1963. |
| 3.Elements of Functional Analysis, Luisternik L.A., Sobolev V.J, New York : John Wiley & Sons, 1974. |
| Program Requirements | Contribution Level | Measurement Method |
|---|---|---|
| PY1 | 2 | 60 |
| PY2 | 1 | 60 |
| PY3 | 3 | - |
| PY4 | 4 | - |
| PY5 | 5 | 60 |
| PY6 | 2 | 60 |
| PY7 | 2 | - |
| PY8 | 4 | 60 |
| PY9 | 3 | 60 |
| PY10 | 5 | 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 | ||
