| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Differential Equations | EEM269 | 3. Semester | 4 + 0 | 4.0 | 6.0 |
| Prerequisite Courses | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | In class |
| Course Coordinator |
Prof. Dr. Filiz BİRBİR ÜNAL Assist. Prof. Dr. Oğuzhan DEMİRYÜREK |
| Instructor(s) |
Filiz BİRBİR ÜNAL |
| Assistants | |
| Goals | The purpose of this course is to teach the solutions of the ordinary differential equations. |
| Course Content | Ordinary differential equations, linear differential equations, solution methods |
| Learning Outcomes |
- Classify the differential equations - Classify and solve the first order and higher order differential equations - Solve the linear differential equations - Solve the linear system of differential equations |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Fundamental definitions, separable DE and equations reducible to this form | Course Hours Verbal Expression Preparation, After Class Study |
| 2. Week | Exact differential equations and integral multipliers | Course Hours Preparation, After Class Study Verbal Expression |
| 3. Week | First order linear differential equations | Verbal Expression Course Hours Preparation, After Class Study |
| 4. Week | Some special type of differentia equations | Course Hours Preparation, After Class Study Verbal Expression |
| 5. Week | Higher order differential equations | Course Hours Verbal Expression Preparation, After Class Study |
| 6. Week | Linear constant coefficient differential equations | Course Hours Verbal Expression Preparation, After Class Study |
| 7. Week | Method of undetermined coefficients | Course Hours Preparation, After Class Study Verbal Expression |
| 8. Week | Lagrange Variation of parameters method | Preparation, After Class Study Course Hours Verbal Expression |
| 9. Week | Inverse operator method | Course Hours Preparation, After Class Study Verbal Expression |
| 10. Week | Variable coefficient differential equations | Preparation, After Class Study Verbal Expression Course Hours |
| 11. Week | Reduction to canonic form | Course Hours Preparation, After Class Study Verbal Expression |
| 12. Week | Exact equations | Preparation, After Class Study Course Hours Verbal Expression |
| 13. Week | Series solution method | Verbal Expression Preparation, After Class Study Course Hours |
| 14. Week | Systems of linear ordinary differential equations | Verbal Expression Course Hours Preparation, After Class Study |
| F. Birbir Ünal, O. Demiryürek, Lecture Notes |
| A. Büyükaksoy, G. Uzgören, Diferansiyel Denklemler Ders Notu |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | Measurement Method |
|---|---|---|---|---|---|---|
| PY1 | 5 | 0 | 0 | 0 | 0 | 40,60 |
| PY2 | 4 | 0 | 0 | 0 | 0 | 40,60 |
| PY3 | 1 | 0 | 0 | 0 | 0 | - |
| PY4 | 2 | 0 | 0 | 0 | 0 | - |
| PY5 | 2 | 0 | 0 | 0 | 0 | - |
| PY6 | 1 | 0 | 0 | 0 | 0 | - |
| PY7 | 0 | 0 | 0 | 0 | 0 | - |
| PY8 | 3 | 0 | 0 | 0 | 0 | - |
| PY9 | 2 | 0 | 0 | 0 | 0 | - |
| PY10 | 0 | 0 | 0 | 0 | 0 | - |
| 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 | 1.5 | 1.5 |
| Homework 1 | 6 | 4 | 24 |
| Homework 2 | 5 | 4 | 20 |
| Final | 1 | 1.5 | 1.5 |
| Practice | 5 | 4 | 20 |
| Practice End-Of-Term | 5 | 6 | 30 |
| Classroom Activities | 14 | 4 | 56 |
| Total Workload | 153 | ||
| ECTS Credit of the Course | 6.0 | ||
