Rapor Tarihi: 24.02.2026 22:04
| 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 | |
| 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 | Classification and solution methods of first-order and higher-order ordinary differential equations, existence and uniqueness theorems, systems of differential equations. |
| # | Öğrenme Kazanımı |
| 1 | Understanding the fundamental definitions and concepts of differential equations. |
| 2 | Knowing the applications of differential equations. |
| 3 | Modeling and solving some concrete problems using differential equations. |
| 4 | Enhancing students' analytical thinking skills. |
| 5 | Knowledge of methods for solving differential equations. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Basic concepts and classification of differential equations. | |
| 2. Week | Equations that can be separated into variables, Homogeneous differential equations | |
| 3. Week | Exact differential equations, equations that can be transformed into exact differential equations, and the integration factor. | |
| 4. Week | Exact differential equations, equations that can be transformed into exact differential equations, and the integration factor. | |
| 5. Week | First-order linear differential equations | |
| 6. Week | First-order linear differential equations | |
| 7. Week | Bernoulli ve Riccati denklemleri | |
| 8. Week | Bernoulli ve Riccati denklemleri | |
| 9. Week | Second-order linear differential equations, linear independence, and Wronskian equations. | |
| 10. Week | Second-order linear differential equations, linear independence, and Wronskian equations. | |
| 11. Week | Second-order linear homogeneous differential equations with constant coefficients | |
| 12. Week | Second-order linear non-homogeneous differential equations with constant coefficients: method of undetermined coefficients, method of variation of parameters. | |
| 13. Week | Linear differential equations with varying coefficients, Reduction of order method | |
| 14. Week | Linear differential equations with varying coefficients, Reduction of order method |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | To gain students application skills in the field of Biomedical Engineering by making them use knowledge in health sciences and engineering | ✔ | |||||
| 2 | To provide development and design skills of all components or single component of a medical device, software or product used in medical field to students under the realistic conditions | ✔ | |||||
| 3 | To provide identification, modeling and solving skills by engineering approaches of a problem observed in medicine | ✔ | |||||
| 4 | To use up-to-date hardware and software efficiently. | ✔ | |||||
| 5 | To gain occupational responsibility and ethical awareness. | ✔ | |||||
| 6 | To gain ability of working with health professionals and individually. | ✔ | |||||
| 7 | To be able to communicate verbally and orally. To be able to use a foreign language in professional career. | ✔ | |||||
| 8 | Awareness of necessity of life-long learning ; to gain ability to reach the knowledge, following the recent developments in science and technology and continously self renovating. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 |
|---|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 4 | 4 |
| PY2 | 4 | 4 | 3 | 4 | 4 |
| PY3 | 4 | 4 | 4 | 4 | 4 |
| PY4 | 4 | 4 | 4 | 4 | 4 |
| PY5 | 4 | 4 | 4 | 4 | 4 |
| PY6 | 3 | 3 | 3 | 3 | 3 |
| PY7 | 3 | 3 | 3 | 3 | 3 |
| PY8 | 4 | 4 | 4 | 4 | 4 |
| 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 | 1 | 2 | 2 |
| Final | 1 | 2 | 2 | |
| Total Workload | 102 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 4.0 | ||
