| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Differential Equations | MEM234 | Turkish | Compulsory | 4. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Doç. Dr. Tuba TUNÇ |
| Instructor(s) | |
| Goals | The aim of this course is to remind / acquire the basic knowledge of mathematics that a student may need in master's courses and to make connections between mathematics and engineering problems with appropriate examples. |
| Course Content | Introduction, the classification of differential equations, application examples at engineering, 1st degree differential equations, seperable equations, whole differential equations, integral multplier, graphical methods, existence and unity concepts at solutions, linear dependance and independance, characteristic equation, high degree differential equations, homogenic equations, superposition equation, applications, Euler formula, nonhomegenic equations, method of undetermined coefficients, method of changing parameters, degrading, constant coefficient equations, linear differential eqautions systems, fundamental matrixes and linear systems, nonhomogenic linear systems, finding solutions with Laplace transformations, applications to initial value problems, convulution, Fourier series, boundary value problems. |
| # | Öğrenme Kazanımı |
| 1 | To model engineering problems mathematically and to use solution methods of boundary value and initial value problems that these models contain |
| 2 | Ability to solve systems of differential equations |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Introduction and Basic Concepts | Interview |
| 2. Week | Vectors | Interview |
| 3. Week | Matrixes | Interview |
| 4. Week | Linear Equations | Interview |
| 5. Week | Non Linear Equations | Interview |
| 6. Week | Differential equations | Interview |
| 7. Week | Differential equations | Interview |
| 8. Week | Laplace Conversion | Interview |
| 9. Week | Laplace Conversion | |
| 10. Week | Solution of Differential Equations with Laplace Transformation | Interview |
| 11. Week | Fourier Transformation | Interview |
| 12. Week | Finite Difference, Numerical Differentiation, Numerical Integration | Interview |
| 13. Week | Partial Differential Equations | Interview |
| 14. Week | Partial differential equations | Interview |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Mathematics, science and engineering to gain practical skills in Mechatronics Engineering | ✔ | |||||
| Program Requirements | DK1 | DK2 |
|---|---|---|
| PY1 | 5 | 5 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Sınavlar |
Midterm 1 | 1 | 50 | 50 |
| Final | 1 | 77.5 | 77.5 | |
| Total Workload | 127.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 5.0 | ||
