| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Differential Equations | ENM203 | 3. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face education |
| Course Coordinator |
Assist. Prof. Dr. Barış KANTOĞLU |
| Instructor(s) |
Barış KANTOĞLU |
| Assistants | |
| Goals | To improve mathematical thinking. To be able to solve differential equation problems in mathematics, physics and engineering. |
| Course Content | Basic concepts of differential equations and their applications in various engineering fields. Classification of first order differential equations, differential equations that can be divided into first order variables. Homogeneous differential equations. Differential equations which can be converted to homogeneous type. Exact differential equations. Differential equations that can be converted to full differential type. Engineering applications and solutions theory of first order linear differential equations. Bernoulli differential equation. Riccati differential equation. High order differential equations. Clairaut differential equation. Lagrange differential equation. Second order differential equations. Second order linear differential equations. |
| Learning Outcomes |
- Defines the differential equation. - Solves homogeneous, linear, complete differential equations that can be divided into variables. - Solve Bernoulli and Riccati differential equations. - Solve second and higher order linear differential equations with constant coefficients. - Solves high order differential equations. - Knows the method of change of parameters. - Define differential equations with variable coefficients. - Solves some differential equations with variable coefficients |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Basic concepts and classification of differential equations | Course Hours Verbal Expression Visual Presentation Practice |
| 2. Week | Introduction to first order differential equations, differential equations that can be divided into variables | Course Hours Verbal Expression Visual Presentation Practice |
| 3. Week | Linear Differential Equations | Visual Presentation Course Hours Verbal Expression Practice |
| 4. Week | Homogeneous Differential Equations | Verbal Expression Visual Presentation Course Hours Practice |
| 5. Week | Exact Differential Equations | Practice Visual Presentation Verbal Expression Course Hours |
| 6. Week | Fully Differential Equation Convertible Differential Equations | Course Hours Visual Presentation Practice Verbal Expression |
| 7. Week | Bernoulli and Riccati Differential Equations | Practice Verbal Expression Visual Presentation Course Hours |
| 8. Week | Bernoulli and Riccati Differential Equations | |
| 9. Week | Engineering applications and solutions theory of first order differential equations. | Visual Presentation Verbal Expression Practice Course Hours |
| 10. Week | High order differential equations, Lagrange and Clairaut differential equations | Practice Visual Presentation Verbal Expression Course Hours |
| 11. Week | Introduction to higher order differential equations, differential equations with constant coefficients | Course Hours Visual Presentation Verbal Expression Practice |
| 12. Week | Differential equations with variable coefficients | Verbal Expression Practice Visual Presentation Course Hours |
| 13. Week | Differential equations with variable coefficients | Verbal Expression Visual Presentation Practice Course Hours |
| 14. Week | Method of variation of parameters | Practice Verbal Expression Visual Presentation Course Hours |
| Yunus A. Çengel ve William J. Palm, Mühendislik ve Temel Bilimler İçin Diferansiyel Denklemler, İzmir Güven Kitabevi 2013. |
| Peter V. O’Neil, Çeviri: Yaşar Pala, Nobel Akademik Yayıncılık eğitim Danışmanlık 2013. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | Measurement Method |
|---|---|---|---|---|---|---|---|---|---|---|
| PY1 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY4 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY5 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY6 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY7 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY8 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY9 | 1 | 0 | 0 | 0 | 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) |
|---|---|---|---|
| Course Hours | 14 | 3 | 42 |
| Midterm 1 | 1 | 1.5 | 1.5 |
| Final | 1 | 1 | 1 |
| Practice | 16 | 2 | 32 |
| Practice End-Of-Term | 8 | 6 | 48 |
| Classroom Activities | 3 | 1 | 3 |
| Total Workload | 127.5 | ||
| ECTS Credit of the Course | 5.0 | ||
