| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Oscillation Theory I | MAT633 | 3 + 0 | 3.0 | 6.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Res. Assist. Burcu FEDAKAR |
| Instructors | |
| Assistants | |
| Goals | In this course, our aim is to give knowledge about fundamental concepts of oscillation theory of differential equations. |
| Course Content | Oscillations of linear scalar delay differential equations,Generalized characteristic equation,Linearized oscillation theory of differential equations,Oscillation of systems of delay differential equations |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics. - Students will learn how to read academical journals. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Oscillations of linear scalar delay differential equations | |
| 2. Week | Oscillations of linear scalar delay differential equations | |
| 3. Week | Oscillations of linear scalar delay differential equations | |
| 4. Week | Generalized characteristic equation | |
| 5. Week | Generalized characteristic equation | |
| 6. Week | Generalized characteristic equation | |
| 7. Week | Linearized oscillation theory of differential equations | |
| 8. Week | Midterm | |
| 9. Week | Linearized oscillation theory of differential equations | |
| 10. Week | Linearized oscillation theory of differential equations | |
| 11. Week | Linearized oscillation theory of differential equations | |
| 12. Week | Oscillation of systems of delay differential equations | |
| 13. Week | Oscillation of systems of delay differential equations | |
| 14. Week | Oscillation of systems of delay differential equations |
| 1) Oscillation Theory of Delay Differential Equations with Applications, (I. Györi and G. Ladas) |
| 2) Oscillation Theory for Difference and Functional Differential Equations (R. P. Agarwal, S. R. Grace and D. O’Regan) |
| 3.Difference equations and Inequalities (R. P. Agarwal) |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 40 |
| PY2 | 5 | 5 | 5 | 40 |
| PY3 | 4 | 4 | 4 | 60 |
| PY4 | 5 | 5 | 5 | 60 |
| PY5 | 5 | 5 | 5 | 40 |
| PY6 | 5 | 5 | 5 | 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 |
| Homework 1 | 14 | 1 | 14 |
| Homework 2 | 14 | 1 | 14 |
| Quiz 1 | 1 | 2 | 2 |
| Final | 1 | 2 | 2 |
| Practice | 6 | 12 | 72 |
| Classroom Activities | 14 | 1 | 14 |
| Total Workload | 151 | ||
| ECTS Credit of the Course | 6.0 | ||
