Rapor Tarihi: 24.02.2026 22:00
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Differential Equations I | MAT231 | Turkish | Compulsory | 3. Semester | 4 + 0 | 4.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | |
| Instructor(s) | |
| Goals | Ensuring the comprehension of the conditions of existence and uniqueness of solutions of differential equation, types of differential equations and solution methods. |
| Course Content | Definition of Differential Equations, Degree in Differential Equations,Differential Equation Solutions, Types of Solutions,Designation of Differential Equation whose General Solution is known,Initial Boundary-Value Problems,Existence and Uniqueness of Solutions,Solution of the First Degree Differential Equations,Differential Equations which can be divided into Variables,Homogenous Differential Equations,Differential Equations which can be Converted into Homogeneous Differential Equations Definitive Differential Equations,Differential Equations which can be Converted into Definitive Differential Equations,Linear Differential Equations, Bernoulli Differential Equation,Riccati Differential Equation Orbits, Envelopes, Equations which can be solved for y and x |
| # | Öğrenme Kazanımı |
| 0 | Showing the existence and uniqueness of the solution of a given differential equation. |
| 0 | Designating the type of a given differential equation. |
| 0 | Solving the differential equation problems using a convenient method. |
| 0 | Improving the ability of proving. |
| 0 | Developing new solution methods. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Definition of Differential Equations, Degree in Differential Equations | |
| 2. Week | Differential Equation Solutions, Types of Solutions | |
| 3. Week | Designation of Differential Equation whose General Solution is known | |
| 4. Week | Initial Boundary-Value Problems | |
| 5. Week | Existence and Uniqueness of Solutions | |
| 6. Week | Solution of the First Degree Differential Equations, Differential Equations which can be divided into Variables | |
| 7. Week | Homogenous Differential Equations | |
| 8. Week | MIDTERM EXAM | |
| 9. Week | Differential Equations which can be Converted into Homogeneous Differential Equations | |
| 10. Week | Definitive Differential Equations | |
| 11. Week | Differential Equations which can be Converted into Definitive Differential Equations | |
| 12. Week | Linear Differential Equations, Bernoulli Differential Equation | |
| 13. Week | Riccati Differential Equation | |
| 14. Week | Orbits, Envelopes, Equations which can be solved for y and x |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Retaining and administering the fundamentals of theoretical and experimental applications of Classical and Modern Physics. | ✔ | |||||
| 2 | Interpreting the encountered problems in accordance with the principles of physics and attaining the ability of problem solving. | ✔ | |||||
| 3 | Gaining the ability of establishing the connection between the theories and applications of physics. | ✔ | |||||
| 4 | Gaining the ability of following and interpreting physics literature. | ✔ | |||||
| 5 | Gaining the ability of analytical thinking by looking at the cases from physical perspective. | ✔ | |||||
| 6 | Utilizing the knowledge of other disciplines and using their approaches in physics. | ✔ | |||||
| 7 | Retaining the ability of gathering, comparing and analyzing physical data, and producing and presenting solution for it. | ✔ | |||||
| 8 | Attaining basics of following up to date physics literature and utilizing it through communicating with colleagues. | ✔ | |||||
| 9 | Setting theoretical model, solving problems related with the model, approaching the model experimentally and interpreting the obtained experimental data by analyzing. | ✔ | |||||
| 10 | Understanding the importance of life-long learning in physics which is open for new advances and staying in connection with life-long learning. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 |
|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 |
| PY2 | 5 | 5 | 5 | 5 | 5 |
| PY3 | 4 | 4 | 4 | 4 | 4 |
| PY4 | 4 | 4 | 4 | 4 | 4 |
| PY5 | 3 | 3 | 3 | 3 | 3 |
| PY6 | 4 | 4 | 4 | 4 | 4 |
| PY7 | 5 | 5 | 5 | 5 | 5 |
| PY8 | 3 | 3 | 3 | 3 | 3 |
| PY9 | 4 | 4 | 4 | 4 | 4 |
| PY10 | 3 | 3 | 3 | 3 | 3 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 4 | 56 |
|
Ders Dışı |
Preparation, After Class Study | 14 | 2 | 28 |
| Research | 14 | 2 | 28 | |
| Other Activities | 14 | 2 | 28 | |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 5 | 1.5 | 7.5 | |
| Quiz 1 | 3 | 0.5 | 1.5 | |
| Final | 1 | 2 | 2 | |
| Total Workload | 153 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
