| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Differential Equations I | MAT231 | 3. Semester | 2 + 2 | 3.0 | 5.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assoc. Prof. Dr. Tuba TUNÇ |
| Instructors |
İlhame AMİRALİ |
| Assistants | |
| Goals | To introduce, examine and solve differential equations |
| Course Content | Basic concepts; First order equations; Existence and uniqueness teorem; Equations separated variables; Homogen equations; Exact differential equations; Integral multiplier;Linear equation; Bernoulli and Ricatti equations; Geometric and physical applications; Clairant and Lagrange equations; Second order homogen and inhomogen equations with linear fixed coefficient; nth order homogen and inhomogen equations with linear fixed coefficient; Variation method of variables; Boundary value problems |
| Learning Outcomes |
- This course will enable one to improve thought and analysis skill |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Basic concepts; solutions,first order equations | |
| 2. Week | Existence and uniqueness teorem | |
| 3. Week | Equations separated variables | |
| 4. Week | Homogen equations | |
| 5. Week | Exact differential equations | |
| 6. Week | Integral multiplier;Linear equation | |
| 7. Week | Bernoulli and Ricatti equations | |
| 8. Week | Midterm | |
| 9. Week | Geometric and physical applications | |
| 10. Week | Clairant and Lagrange equations | |
| 11. Week | Second order homogen and inhomogen equations with linear fixed coefficient | |
| 12. Week | nth order homogen and inhomogen equations with linear fixed coefficient | |
| 13. Week | Variation method of parameters | |
| 14. Week | Initial and boundary value problems |
| 1.Shepley L. Ross, Introduction to Ordinary Differential Equations, Ginn and Company, 1966 |
| 2.W.F.Boyce and R.C. Di Prima, Elementary Differential Equations, John Wiley and Sons, New York, 1977 |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 5 | 5 | 60 |
| PY2 | 5 | 5 | 60 |
| PY3 | 3 | 3 | 60 |
| PY4 | 2 | 2 | 60 |
| PY5 | 1 | 1 | 60 |
| PY6 | 1 | 1 | 60 |
| PY7 | 5 | 5 | 60 |
| PY8 | 5 | 5 | 60 |
| PY9 | 4 | 4 | 60 |
| PY10 | 5 | 5 | 60 |
| PY11 | 1 | 1 | 60 |
| PY12 | 5 | 5 | 60 |
| PY13 | 3 | 3 | 60 |
| PY14 | 2 | 2 | 60 |
| PY15 | 1 | 1 | 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 | 14 | 4 | 56 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 1 | 14 |
| Homework 2 | 14 | 1 | 14 |
| Final | 1 | 2 | 2 |
| Practice | 14 | 2 | 28 |
| Classroom Activities | 14 | 1 | 14 |
| Total Workload | 130 | ||
| ECTS Credit of the Course | 5.0 | ||
