Rapor Tarihi: 13.04.2026 03:08
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Differential Equations I | MAT231 | Turkish | Compulsory | 3. Semester | 2 + 2 | 3.0 | 5.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Lecturing |
| Course Coordinator | Prof. Dr. İlhame AMİRALİ |
| Instructor(s) | Prof. Dr. İlhame AMİRALİ (Güz) |
| Goals | To introduce, examine and solve differential equations |
| Course Content | Basic concepts; First order equations; Existence and uniqueness teorem; Equations separated variables; Homogen equations; Exact differential equations; Integral multiplier;Linear equation; Bernoulli and Ricatti equations; Geometric and physical applications; Clairant and Lagrange equations; Second order homogen and inhomogen equations with linear fixed coefficient; nth order homogen and inhomogen equations with linear fixed coefficient; Variation method of variables; Boundary value problems |
| # | Öğrenme Kazanımı |
| 1 | This course will enable one to improve thought and analysis skill |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Basic concepts; solutions,first order equations | |
| 2. Week | Existence and uniqueness teorem | |
| 3. Week | Equations separated variables | |
| 4. Week | Homogen equations | |
| 5. Week | Exact differential equations | |
| 6. Week | Integral multiplier;Linear equation | |
| 7. Week | Bernoulli and Ricatti equations | |
| 8. Week | Bernoulli and Ricatti equations | |
| 9. Week | Geometric and physical applications | |
| 10. Week | Clairant and Lagrange equations | |
| 11. Week | Second order homogen and inhomogen equations with linear fixed coefficient | |
| 12. Week | nth order homogen and inhomogen equations with linear fixed coefficient | |
| 13. Week | Variation method of parameters | |
| 14. Week | Initial and boundary value problems |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Possesses theoretical and applied knowledge of the fundamental areas of mathematics (Analysis and Function Theory, Algebra and Number Theory, Geometry, Applied Mathematics, Topology and Foundations of Mathematics, and Mathematical Logic). | ✔ | |||||
| 2 | Explains the historical development of mathematical concepts, their relationship with other branches of science, and their application areas. | ✔ | |||||
| 3 | Defines mathematical problems, selects appropriate methods, and solves them using analytical/numerical techniques. | ✔ | |||||
| 4 | Constructs mathematical expressions with logical integrity and reaches conclusions using proof methods. | ✔ | |||||
| 5 | Formulates and interprets real-life problems by performing mathematical modeling. | ✔ | |||||
| 6 | Effectively uses information technologies and mathematical software in data analysis and computation processes. | ✔ | |||||
| 7 | Takes responsibility in individual or team work; plans and executes projects. | ✔ | |||||
| 8 | Follows current developments in their field; improves themselves with a lifelong learning awareness. | ✔ | |||||
| 9 | Expresses mathematical ideas verbally and in writing clearly and in accordance with academic rules. | ✔ | |||||
| 10 | Acts in accordance with professional and academic ethical values; acts with a sense of social responsibility. | ✔ | |||||
| Program Requirements | DK1 |
|---|---|
| PY1 | 5 |
| PY2 | 5 |
| PY3 | 3 |
| PY4 | 2 |
| PY5 | 1 |
| PY6 | 1 |
| PY7 | 5 |
| PY8 | 5 |
| PY9 | 4 |
| PY10 | 5 |
| PY11 | 1 |
| PY12 | 5 |
| PY13 | 3 |
| PY14 | 2 |
| PY15 | 1 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Prof. Dr. İlhame AMİRALİ | Vize | 40.00 | |
| Prof. Dr. İlhame AMİRALİ | Final | 60.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 4 | 56 |
|
Sınavlar |
Midterm | 1 | 2 | 2 |
| Homework | 14 | 1 | 14 | |
| Homework Preparation | 14 | 1 | 14 | |
| Final | 1 | 2 | 2 | |
| Practice | 14 | 2 | 28 | |
| Classroom Activities | 14 | 1 | 14 | |
| Total Workload | 130 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 5.0 | ||
