| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Functional Methods For Solution of Differential Equations | MAT510 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Prof. Dr. FUAT USTA |
| Instructors |
İzzettin DEMİR |
| Assistants | |
| Goals | Ensuring high level of knowledge related to the topics in the content of the course, giving the ability of using this konwledge in discussion and research environments to students. |
| Course Content | Functional spaces and properties, Definition of differential operator, classification of operators, Weak solution concept, Energetic evaluation method, Equivalence of norms |
| Learning Outcomes |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Functional spaces and properties | |
| 2. Week | Functional spaces and properties | |
| 3. Week | Functional spaces and properties | |
| 4. Week | Definition of differential operator, classification of operators | |
| 5. Week | Definition of differential operator, classification of operators | |
| 6. Week | Definition of differential operator, classification of operators | |
| 7. Week | Weak solution concept | |
| 8. Week | Midterm | |
| 9. Week | Weak solution concept | |
| 10. Week | Energetic evaluation method | |
| 11. Week | Energetic evaluation method | |
| 12. Week | Energetic evaluation method | |
| 13. Week | Equivalence of norms | |
| 14. Week | Equivalence of norms |
| 1.Sobolev Spaces, Adams R.A., New York , Academic Press, 1975. |
| 2.Nonlinear Differential Equations, Kutner A., Fucik S., Amsterdam : Elsevier Scientific Publ. Comp., 1980. |
| 3.Boundary Value Problems in Mathematical Physics, Ladyzhenskaya O.A., New York, Springer Verlag, 1985. |
| Program Requirements | Contribution Level | Measurement Method |
|---|---|---|
| PY2 | 2 | 60 |
| PY4 | 2 | 60 |
| PY9 | 2 | 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 | 1 | 3 | 3 |
| 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 | 12 | 72 |
| Classroom Activities | 14 | 1 | 14 |
| Total Workload | 197 | ||
| ECTS Credit of the Course | 8.0 | ||
