| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Differential Equations | EEM269 | Turkish | Compulsory | 3. Semester | 4 + 0 | 4.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | In class |
| Course Coordinator | Dr. Öğr. Üyesi Oğuzhan DEMİRYÜREK |
| Instructor(s) | Dr. Öğr. Üyesi Oğuzhan DEMİRYÜREK (Güz) |
| Goals | To gain the ability to classify and solve ordinary differential equations. |
| Course Content | Ordinary differential equations, linear differential equations, solution methods |
| # | Öğrenme Kazanımı |
| 1 | Classify the differential equations |
| 2 | Classify and solve the first order and higher order differential equations |
| 3 | Solve the linear differential equations |
| 4 | Solve the linear system of differential equations |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Fundamental definitions, separable DE and equations reducible to this form | Interview Preparation, After Class Study Class Hours |
| 2. Week | Exact differential equations and integral multipliers | Interview Preparation, After Class Study Class Hours |
| 3. Week | First order linear differential equations | Class Hours Preparation, After Class Study Interview |
| 4. Week | Some special type of differentia equations | Class Hours Interview Preparation, After Class Study |
| 5. Week | Higher order differential equations | Class Hours Interview Preparation, After Class Study |
| 6. Week | Linear constant coefficient differential equations | Preparation, After Class Study Class Hours Interview |
| 7. Week | Method of undetermined coefficients | Preparation, After Class Study Interview Class Hours |
| 8. Week | Lagrange Variation of parameters method | Interview Preparation, After Class Study Class Hours |
| 9. Week | Inverse operator method | Preparation, After Class Study Class Hours Interview |
| 10. Week | Variable coefficient differential equations | Interview Class Hours Preparation, After Class Study |
| 11. Week | Reduction to canonic form | Interview Preparation, After Class Study Class Hours |
| 12. Week | Exact equations | Interview Preparation, After Class Study Class Hours |
| 13. Week | Series solution method | Interview Preparation, After Class Study Class Hours |
| 14. Week | Systems of linear ordinary differential equations | Preparation, After Class Study Class Hours Interview |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge in mathematics, science, and related engineering disciplines; ability to use theoretical and applied information in these areas to solve complex engineering problems. | ✔ | |||||
| 2 | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | ✔ | |||||
| 3 | Ability to design a complex system, process, device, or product under realistic constraints and conditions to meet specific requirements; ability to apply modern design methods for this purpose. | ||||||
| 4 | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively. | ✔ | |||||
| 5 | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | ✔ | |||||
| 6 | Ability to work effectively in disciplinary and multidisciplinary teams; ability to work individually. | ||||||
| 7 | Ability to communicate effectively both orally and in writing; knowledge of at least one foreign language; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | ||||||
| 8 | Awareness of the necessity of lifelong learning; the ability to access information, to follow developments in science and technology, and to constantly renew oneself. | ||||||
| 9 | Knowledge about behaving by ethical principles, professional and ethical responsibility, and standards used in engineering practices. | ||||||
| 10 | Knowledge of business life practices such as project management, risk management, and change management; awareness of entrepreneurship, and innovation; knowledge of sustainable development. | ||||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 |
|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 |
| PY2 | 4 | 4 | 4 | 4 |
| PY3 | 0 | 0 | 0 | 0 |
| PY4 | 2 | 2 | 2 | 2 |
| PY5 | 2 | 2 | 2 | 2 |
| PY6 | 0 | 0 | 0 | 0 |
| PY7 | 0 | 0 | 0 | 0 |
| PY8 | 0 | 0 | 0 | 0 |
| PY9 | 0 | 0 | 0 | 0 |
| PY10 | 0 | 0 | 0 | 0 |
| 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 | 1.5 | 1.5 |
| Homework 1 | 6 | 4 | 24 | |
| Homework 2 | 5 | 4 | 20 | |
| Final | 1 | 1.5 | 1.5 | |
| Practice | 5 | 4 | 20 | |
| Practice End-Of-Term | 5 | 6 | 30 | |
| Classroom Activities | 14 | 4 | 56 | |
| Total Workload | 153 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
