Rapor Tarihi: 13.04.2026 03:13
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Differential Equations | BMM211 | Turkish | Compulsory | 3. Semester | 3 + 0 | 3.0 | 4.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Lecturing |
| Course Coordinator | Doç. Dr. İzzettin DEMİR |
| Instructor(s) | Doç. Dr. İzzettin DEMİR (Güz) |
| Goals | This course aims to explain the fundamental concepts and solution methods of ordinary differential equations, and to equip students with the competence to use these concepts in solving and interpreting problems they may encounter in engineering. |
| Course Content | Basic concepts and classification of differential equations, separable equations, homogeneous differential equations, exact differential equations, equations that can be reducible to exact differential equations and integration factor, first-order linear differential equations, Bernoulli and Riccati equations, second-order linear differential equations, linear independence and Wronskian, second-order linear non-homogeneous differential equations with constant coefficients: method of undetermined coefficients, method of variation of parameters, linear differential equations with variable coefficients, method of reduction of order. |
| # | Öğrenme Kazanımı |
| 1 | It defines the fundamental concepts of differential equations and classifies equations according to their order, degree, and linearity. |
| 2 | It identifies separable, homogeneous, and exact differential equations and obtains their analytical solutions. |
| 3 | It solves first-order linear, Bernoulli, and Riccati equations using integration factors. |
| 4 | It covers the fundamental theory of second-order linear equations |
| 5 | It solves non-homogeneous or second-order equations with variable coefficients using appropriate methods (undetermined coefficients, variation of parameters, downsizing). |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Basic concepts and classification of differential equations. | Preparation, After Class Study, Research, Practice, Interview |
| 2. Week | Equations that can be separated into variables, Homogeneous differential equations | Preparation, After Class Study, Research, Practice, Interview |
| 3. Week | Exact differential equations, equations that can be transformed into exact differential equations, and the integration factor. | Preparation, After Class Study, Research, Practice, Interview |
| 4. Week | Exact differential equations, equations that can be transformed into exact differential equations, and the integration factor. | Preparation, After Class Study, Research, Practice, Interview |
| 5. Week | First-order linear differential equations | |
| 6. Week | First-order linear differential equations | Preparation, After Class Study, Research, Practice, Interview |
| 7. Week | Bernoulli ve Riccati denklemleri | Preparation, After Class Study, Research, Practice, Interview |
| 8. Week | Bernoulli ve Riccati denklemleri | Preparation, After Class Study, Research, Practice, Interview |
| 9. Week | Second-order linear differential equations, linear independence, and Wronskian equations. | Preparation, After Class Study, Research, Practice, Interview |
| 10. Week | Second-order linear differential equations, linear independence, and Wronskian equations. | Preparation, After Class Study, Research, Practice, Interview |
| 11. Week | Second-order linear homogeneous differential equations with constant coefficients | Preparation, After Class Study, Research, Practice, Interview |
| 12. Week | Second-order linear non-homogeneous differential equations with constant coefficients: method of undetermined coefficients, method of variation of parameters. | Preparation, After Class Study, Research, Practice, Interview |
| 13. Week | Linear differential equations with varying coefficients, Reduction of order method | Preparation, After Class Study, Research, Practice, Interview |
| 14. Week | Linear differential equations with varying coefficients, Reduction of order method | Preparation, After Class Study, Research, Practice, Interview |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | It explains the theories and principles related to the field. | ✔ | |||||
| 2 | It provides practical skills in the field of Biomedical Engineering by utilizing knowledge from health sciences and engineering. | ✔ | |||||
| 3 | It provides the ability to design and develop all or a component of a medical device, software, or product used in the healthcare field under realistic conditions. | ✔ | |||||
| 4 | It provides the ability to define, model, and solve a problem encountered in medicine using engineering approaches. | ✔ | |||||
| 5 | It explains how to effectively use current software and hardware. | ✔ | |||||
| 6 | It instills professional responsibility and ethical awareness. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 |
|---|---|---|---|---|---|
| PY1 | 3 | 3 | 3 | 3 | 3 |
| PY2 | 4 | 4 | 4 | 4 | 4 |
| PY3 | 3 | 3 | 3 | 3 | 3 |
| PY4 | 4 | 4 | 4 | 4 | 4 |
| PY5 | 2 | 2 | 2 | 2 | 2 |
| PY6 | 2 | 2 | 2 | 2 | 2 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Doç. Dr. İzzettin DEMİR | Vize | 40.00 | |
| Doç. Dr. İzzettin DEMİR | Final | 60.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 3 | 42 |
|
Ders Dışı |
Homework | 14 | 1 | 14 |
| Research | 14 | 1 | 14 | |
| Interview | 14 | 1 | 14 | |
| Practice | 14 | 1 | 14 | |
|
Sınavlar |
Midterm | 1 | 2 | 2 |
| Final | 1 | 2 | 2 | |
| Total Workload | 102 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 4.0 | ||
