| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Differential Equations | CE211 | Turkish | Compulsory | 3. Semester | 4 + 0 | 4.0 | 5.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | In class |
| Course Coordinator | Prof. Dr. Filiz BİRBİR ÜNAL |
| Instructor(s) | Prof. Dr. Fatih TAŞPINAR (Güz) |
| Goals | The purpose of this course is to teach the solutions of the 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 | |
| 2. Week | Exact differential equations and integral multipliers | |
| 3. Week | First order linear differential equations | |
| 4. Week | Some special type of differentia equations | |
| 5. Week | Higher order differential equations | |
| 6. Week | Linear constant coefficient differential equations | |
| 7. Week | Method of undetermined coefficients | |
| 8. Week | Lagrange Variation of parameters method | |
| 9. Week | Inverse operator method | |
| 10. Week | Variable coefficient differential equations | |
| 11. Week | Reduction to canonic form | |
| 12. Week | Exact equations | |
| 13. Week | Series solution method | |
| 14. Week | Systems of linear ordinary differential equations |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge of mathematics, science and related engineering disciplines; Ability to use theoretical and applied knowledge in these fields in complex engineering problems | ✔ | |||||
| 1 | Adequate knowledge of mathematics, science and related engineering disciplines; Ability to use theoretical and applied knowledge in these fields in complex engineering problems | ✔ | |||||
| 2 | Ability to identify, define, formulate and solve complex engineering problems; for this purpose, the ability to select and apply appropriate analysis and modeling methods | ✔ | |||||
| 4 | Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; for this purpose, the ability to apply modern design methods | ✔ | |||||
| 5 | Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology, and constantly renew oneself | ✔ | |||||
| 6 | Ability to design and conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics | ✔ | |||||
| 8 | Ability to develop, 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 | ✔ | |||||
| 10 | Ability to communicate effectively in Turkish 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" | ||||||
| 11 | Behaving in accordance with ethical principles, awareness of professional and ethical responsibility; information about standards used in engineering applications | ✔ | |||||
| 12 | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship, innovation; information about sustainable development | ||||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 |
|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 |
| PY2 | 4 | 4 | 4 | 4 |
| PY4 | 1 | 1 | 1 | 1 |
| PY5 | 3 | 3 | 3 | 3 |
| PY6 | 2 | 2 | 2 | 2 |
| PY8 | 2 | 2 | 2 | 2 |
| PY10 | 0 | 0 | 0 | 0 |
| PY11 | 2 | 2 | 2 | 2 |
| PY12 | 0 | 0 | 0 | 0 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Prof. Dr. Fatih TAŞPINAR | N.Ö | Vize | 50.00 |
| Prof. Dr. Fatih TAŞPINAR | N.Ö | Final | 50.00 |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Sınavlar |
Midterm 1 | 1 | 1.5 | 1.5 |
| Homework 1 | 4 | 4 | 16 | |
| Homework 2 | 4 | 4 | 16 | |
| Final | 1 | 1.5 | 1.5 | |
| Practice | 3 | 4.5 | 13.5 | |
| Practice End-Of-Term | 6 | 4.5 | 27 | |
| Classroom Activities | 13 | 4 | 52 | |
| Total Workload | 127.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 5.0 | ||
