| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Elective Departments of Partial Differential Equations | MAT512 | 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. İlhame AMİRALİ |
| Instructors |
FUAT USTA |
| 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 | Weak solution of linear elliptic problem, To define in Sobolev space, To show the existence of solution with method of energetic inequelities, Definition of weak solution to parabolic problems, Weak solutions space, Existence and uniqueness theorems, Stability in weak solutions space according to coefficients and right side |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics - Students will learn how to read academical journals |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Weak solution of linear elliptic problem | |
| 2. Week | Weak solution of linear elliptic problem | |
| 3. Week | To define in Sobolev space | |
| 4. Week | To define in Sobolev space | |
| 5. Week | To show the existence of solution with method of energetic inequelities | |
| 6. Week | To show the existence of solution with method of energetic inequelities | |
| 7. Week | Definition of weak solution to parabolic problems | |
| 8. Week | Midterm | |
| 9. Week | Weak solutions space | |
| 10. Week | Weak solutions space | |
| 11. Week | Existence and uniqueness theorems | |
| 12. Week | Existence and uniqueness theorems | |
| 13. Week | Stability in weak solutions space according to coefficients and right side | |
| 14. Week | Stability in weak solutions space according to coefficients and right side |
| 1.Boundary Value Problems in Mathematical Physics, Ladyzhenskaya O.A., New York : Springer Verlag, 1985. |
| 2.An Introduction to PDE, Renardy M, Rogers R., New York : Springer Verlag, 1992. |
| 3.Variational Methods in Mathematics, Science and Engineering, Rektorys K., London-Riedel Publ. Comp. 1980 |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 40 |
| PY2 | 4 | 4 | 4 | 40 |
| PY3 | 4 | 4 | 4 | 60 |
| PY4 | 4 | 4 | 4 | 40 |
| PY5 | 4 | 4 | 4 | 40 |
| PY6 | 4 | 4 | 4 | 60 |
| PY7 | 5 | 5 | 5 | 40 |
| PY8 | 4 | 4 | 4 | 60 |
| PY9 | 5 | 5 | 5 | 60 |
| PY10 | 5 | 5 | 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) |
|---|---|---|---|
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 15 | 2 | 30 |
| Homework 2 | 15 | 2 | 30 |
| Final | 1 | 2 | 2 |
| Practice | 15 | 3 | 45 |
| Practice End-Of-Term | 15 | 3 | 45 |
| Classroom Activities | 15 | 3 | 45 |
| Total Workload | 199 | ||
| ECTS Credit of the Course | 8.0 | ||
