| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Differential Equations | ENM203 | Turkish | Compulsory | 3. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face education |
| Course Coordinator | Dr. Öğr. Üyesi Barış KANTOĞLU |
| Instructor(s) | Dr. Öğr. Üyesi Barış KANTOĞLU (Güz) |
| Goals | To improve mathematical thinking. To be able to solve differential equation problems in mathematics, physics and engineering. |
| Course Content | Basic concepts of differential equations and their applications in various engineering fields. Classification of first order differential equations, differential equations that can be divided into first order variables. Homogeneous differential equations. Differential equations which can be converted to homogeneous type. Exact differential equations. Differential equations that can be converted to full differential type. Engineering applications and solutions theory of first order linear differential equations. Bernoulli differential equation. Riccati differential equation. High order differential equations. Clairaut differential equation. Lagrange differential equation. Second order differential equations. Second order linear differential equations. |
| # | Öğrenme Kazanımı |
| 1 | Defines the differential equation. |
| 2 | Solves homogeneous, linear, complete differential equations that can be divided into variables. |
| 3 | Solve Bernoulli and Riccati differential equations. |
| 4 | Solve second and higher order linear differential equations with constant coefficients. |
| 5 | Solves high order differential equations. |
| 6 | Knows the method of change of parameters. |
| 7 | Define differential equations with variable coefficients. |
| 8 | Solves some differential equations with variable coefficients |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Basic concepts and classification of differential equations | Interview, Presentation (Preparation), Practice |
| 2. Week | Introduction to first order differential equations, differential equations that can be divided into variables | Interview, Practice, Presentation (Preparation) |
| 3. Week | Linear Differential Equations | Practice, Presentation (Preparation), Interview |
| 4. Week | Homogeneous Differential Equations | Interview, Presentation (Preparation), Practice |
| 5. Week | Exact Differential Equations | Interview, Practice, Presentation (Preparation) |
| 6. Week | Fully Differential Equation Convertible Differential Equations | Interview, Presentation (Preparation), Practice |
| 7. Week | Bernoulli and Riccati Differential Equations | Interview, Presentation (Preparation), Practice |
| 8. Week | Bernoulli and Riccati Differential Equations | |
| 9. Week | Engineering applications and solutions theory of first order differential equations. | Interview, Presentation (Preparation), Practice |
| 10. Week | High order differential equations, Lagrange and Clairaut differential equations | Interview, Presentation (Preparation), Practice |
| 11. Week | Introduction to higher order differential equations, differential equations with constant coefficients | Interview, Presentation (Preparation), Practice |
| 12. Week | Differential equations with variable coefficients | Presentation (Preparation), Practice, Interview |
| 13. Week | Differential equations with variable coefficients | Interview, Presentation (Preparation), Practice |
| 14. Week | Method of variation of parameters | Presentation (Preparation), Interview, Practice |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | To have theoretical and / or practical knowledge in the field of mathematics, science, social sciences, engineering and / or industrial engineering, and the ability to use this knowledge to model and solve engineering problems | ✔ | |||||
| 2 | Gaining the ability to work actively in projects and projects aimed at professional development in both individual and multidisciplinary groups and taking responsibility in situations that may arise in this process | ✔ | |||||
| 3 | Knowledge of at least one foreign language at a level that will enable communication with colleagues in the field and follow current developments; ability to write and understand written reports effectively, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | ✔ | |||||
| 4 | To be individuals who are sensitive to universal and social values, have knowledge of professional and ethical responsibilities and standards used in engineering practices. | ✔ | |||||
| 5 | The ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | ✔ | |||||
| 6 | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | ✔ | |||||
| 7 | Ability to select and use modern techniques and tools necessary for the identification, formulation, analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively. | ✔ | |||||
| 8 | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. | ✔ | |||||
| 9 | Knowledge of the universal and societal impacts of engineering practices on health, environment and safety, and contemporary issues reflected in the field of engineering; awareness of the legal consequences of engineering solutions, the necessity of lifelong learning and the ability to continuously renew oneself. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 |
|---|---|---|---|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY5 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY6 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY7 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| PY8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| PY9 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 3 | 42 |
|
Sınavlar |
Midterm 1 | 1 | 1.5 | 1.5 |
| Final | 1 | 1 | 1 | |
| Practice | 16 | 2 | 32 | |
| Practice End-Of-Term | 8 | 6 | 48 | |
| Classroom Activities | 3 | 1 | 3 | |
| Total Workload | 127.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 5.0 | ||
