| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Advanced Differential Equations I | MAT528 | 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. HÜSEYİN BUDAK |
| Instructor(s) |
İlhame AMİRALİ |
| Assistants | |
| Goals | Teaching high level of mathematics to graduate degree students. |
| Course Content | High order Nonlinear Differential Equations,Autonomous Equations,as X Equations with Equivalence Dimension,Equations with scale invariance, asY Equations with Equivalence Dimension,Riccati Differential Equations ,Second order Riccati Differential Equation,Abel Equations,Vector Differential Equations |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics. - Students will learn theoretical concepts in mathematics. - Students will learn how to read academical journals. - Students will learn how to read academical journals. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | High order Nonlinear Differential Equations | |
| 2. Week | High order Nonlinear Differential Equations | |
| 3. Week | Autonomous Equations | |
| 4. Week | as X Equations with Equivalence Dimension | |
| 5. Week | as X Equations with Equivalence Dimension | |
| 6. Week | asY Equations with Equivalence Dimension | |
| 7. Week | asY Equations with Equivalence Dimension | |
| 8. Week | Midterm | |
| 9. Week | Riccati Differential Equations | |
| 10. Week | Second order Riccati Differential Equ | |
| 11. Week | Abel Equations | |
| 12. Week | Abel Equations | |
| 13. Week | Vector Differential Equations | |
| 14. Week | Vector Differential Equations |
| Sheply L. Ross, Differential Equations, New York, Wiley 1984. |
| C. Henry Edwards and David E. Penny, Translated by Ömer Akın, Differential Equations and Boundary Value Problems, Ankara, 2006. |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 3 | 0 | 0 | 40 |
| PY2 | 4 | 0 | 0 | 40 |
| PY3 | 5 | 0 | 0 | 60 |
| PY4 | 3 | 0 | 0 | 40 |
| PY5 | 4 | 0 | 0 | 40 |
| PY6 | 4 | 0 | 0 | 60 |
| PY7 | 5 | 0 | 0 | 40 |
| PY8 | 3 | 0 | 0 | 40 |
| PY9 | 4 | 0 | 0 | 40 |
| PY10 | 4 | 0 | 0 | 40 |
| 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 | 2 | 28 |
| Homework 2 | 14 | 2 | 28 |
| Quiz 1 | 1 | 2 | 2 |
| Quiz 2 | 1 | 2 | 2 |
| Final | 1 | 2 | 2 |
| Practice | 6 | 8 | 48 |
| Classroom Activities | 14 | 1 | 14 |
| Total Workload | 198 | ||
| ECTS Credit of the Course | 8.0 | ||
