| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Boundary Value Problems for Mixed Type Partial Differential Equations | MAT628 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Res. Assist. Burcu FEDAKAR |
| Instructors | |
| Assistants | |
| Goals | Teaching high level of mathematics to PhD students. |
| Course Content | Nonclassical equations of mathematical physics,Fourier series solution,Fourier and Laplace transformations and their applications to PDE,Approximate solutions of the nonlocal boundary value problems of the nonlocal boundary value problems for PDE mixed types,Difference Schemes of the nonlocal boundary value problems for PDE of mixed types,Stability of difference schemes for partial differential equations of variable types |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics. - Students will learn how to read academical journals. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Nonclassical equations of mathematical physics | |
| 2. Week | Fourier series solution | |
| 3. Week | Fourier and Laplace transformations and their applications to PDE | |
| 4. Week | Fourier and Laplace transformations and their applications to PDE | |
| 5. Week | Approximate solutions of the nonlocal boundary value problems of the nonlocal boundary value problems for PDE mixed types | |
| 6. Week | Approximate solutions of the nonlocal boundary value problems of the nonlocal boundary value problems for PDE mixed types | |
| 7. Week | Difference Schemes of the nonlocal boundary value problems for PDE of mixed types | |
| 8. Week | Midterm | |
| 9. Week | Difference Schemes of the nonlocal boundary value problems for PDE of mixed types | |
| 10. Week | Difference Schemes of the nonlocal boundary value problems for PDE of mixed types | |
| 11. Week | Stability of difference schemes for partial differential equations of variable types | |
| 12. Week | Stability of difference schemes for partial differential equations of variable types | |
| 13. Week | Stability of difference schemes for partial differential equations of variable types | |
| 14. Week | Stability of difference schemes for partial differential equations of variable types |
| Allaberen ASHYRALYEV and Pavel E. SOBOLEVSKII, “A New Difference Schemes for Partial Differential Equations”, Birkhauser-Verlag. |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 40 |
| PY2 | 5 | 5 | 5 | 40 |
| PY3 | 4 | 4 | 4 | 60 |
| PY4 | 4 | 4 | 4 | 60 |
| PY5 | 5 | 5 | 5 | 40 |
| PY6 | 4 | 4 | 4 | 60 |
| PY7 | 5 | 5 | 5 | 40 |
| PY8 | 4 | 4 | 4 | 60 |
| PY9 | 5 | 5 | 5 | 60 |
| PY10 | 4 | 4 | 4 | 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 | ||
