Rapor Tarihi: 24.02.2026 22:01
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Differential Equations II | MAT232 | Turkish | Compulsory | 4. Semester | 4 + 0 | 4.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Lecturing |
| Course Coordinator | |
| Instructor(s) | |
| Goals | To learn fundamental definitions, theorems and solution methods of higher order differential equations |
| Course Content | Higher Order Differential Equations Basic Definitions and Theorems, Homogeneous Solutions of Linear Differantial Equations with Constant Coefficients, Non-homogeneous Linear Differential Equations with Constant Coefficients Custom, Solution Finding Methods: Consecutive Integral Method, Inverse Operators Method, Method of Variation of Constants, Method of Undetermined Coefficients, Solutions of Linear Differantial Equations of Higher Order with Variable Coefficients, Cauchy-Euler differential equation, Legendre's Differantial Equation , Order Reduction Method, MIDTERM EXAM, Solutions with Power Series, Legendre and Bessel Differantial Equations, Differantial Equations, Definition and Properties of Laplace Transform, Solutions of Differential Equations by Laplace Transform, Applications of Differential Equations and Related Presentations |
| # | Öğrenme Kazanımı |
| 0 | Learning methods of solution for high-order differential equations. |
| 0 | Making the physical application on differential equations. |
| 0 | Learning the Legendre and Bessel's differential equations. |
| 0 | Applying the Cauchy-Euler differential equation problems. |
| 0 | Making solutions with power series. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Higher Order Differential Equations Basic Definitions and Theorems | |
| 2. Week | Homogeneous Solutions of Linear Differantial Equations with Constant Coefficients | |
| 3. Week | Non-homogeneous Linear Differential Equations with Constant Coefficients Custom Solution Finding Methods: Consecutive Integral Method, Inverse Operators Method | |
| 4. Week | Method of Variation of Constants, Method of Undetermined Coefficients | |
| 5. Week | Solutions of Linear Differantial Equations of Higher Order with Variable Coefficients | |
| 6. Week | Cauchy-Euler differential equation | |
| 7. Week | Legendre's Differantial Equation , Order Reduction Method | |
| 8. Week | MIDTERM EXAM | |
| 9. Week | Solutions with Power Series | |
| 10. Week | Legendre and Bessel Differantial Equations | |
| 11. Week | Differantial Equations | |
| 12. Week | Definition and Properties of Laplace Transform | |
| 13. Week | Solutions of Differential Equations by Laplace Transform | |
| 14. Week | Applications of Differential Equations and Related Presentations |
| 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 | 5 | 5 | 5 | 5 | 5 |
| PY4 | 4 | 4 | 4 | 4 | 4 |
| PY5 | 5 | 5 | 5 | 5 | 5 |
| PY6 | 4 | 4 | 4 | 4 | 4 |
| PY7 | 4 | 4 | 4 | 4 | 4 |
| PY8 | 3 | 3 | 3 | 3 | 3 |
| PY9 | 5 | 5 | 5 | 5 | 5 |
| PY10 | 2 | 2 | 2 | 2 | 2 |
| 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 | 3 | 42 | |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 2 | 1 | 2 | |
| Homework 2 | 2 | 1 | 2 | |
| Final | 1 | 2 | 2 | |
| Total Workload | 162 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
