Rapor Tarihi: 13.04.2026 06:02
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Numerical Analysis | BM229 | Turkish | Compulsory | 3. Semester | 3 + 0 | 3.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Oral presentation, visual presentation and question and answer |
| Course Coordinator | Dr. Öğr. Üyesi Tuba KARAGÜL YILDIZ, Dr. Öğr. Üyesi Sümeyye BAYRAKDAR |
| Instructor(s) | Dr. Öğr. Üyesi Sümeyye BAYRAKDAR (Güz) |
| Goals | Teaching numerical solution methods and algorithms that will enable the computer-based solution of engineering problems. |
| Course Content | It encompasses approximate solutions to mathematical problems using computer algorithms. This includes error analysis, root causes of nonlinear equations, numerical solution of linear equation systems, interpolation, curve fitting, numerical differentiation and integration, and approximate solution methods for differential equations. |
| # | Öğrenme Kazanımı |
| 1 | Teaches approximate solutions, the concept of error, types of errors, and the relationships between computer arithmetic and error. |
| 2 | Gains the ability to understand and apply general and matrix forms of systems of equations, as well as the concepts of determinant, minor, and cofactor. |
| 3 | Gains the ability to recognize and apply the numerical solution methods of linear equation systems. |
| 4 | Gains the ability to recognize and apply the solution methods of nonlinear systems of equations. |
| 5 | Understands the concept of interpolation and applies interpolation methods to problems. |
| 6 | Recognizes and applies curve fitting methods. |
| 7 | Gains the ability to understand and apply numerical derivative and numerical integral solution methods. |
| 8 | Gains the ability to understand and apply numerical solution methods of differential equations. |
| 9 | Gains the ability to develop algorithms for all approaches and to design and implement in MATLAB environment. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Introduction to numerical analysis, numerical methods and the errors | Preparation, After Class Study, Presentation (Preparation) |
| 2. Week | Establishing an algorithm and introducing the algorithm sub-units. | Preparation, After Class Study, Presentation (Preparation) |
| 3. Week | Matrices and matrix operations | Preparation, After Class Study, Presentation (Preparation) |
| 4. Week | The solution methods of linear equation systems-1 | Preparation, After Class Study, Presentation (Preparation) |
| 5. Week | The solution methods of linear equation systems-2 | Preparation, After Class Study, Presentation (Preparation) |
| 6. Week | The solution methods of non-linear equation systems-1 | Preparation, After Class Study, Presentation (Preparation) |
| 7. Week | The solution methods of non-linear equation systems-2 | Preparation, After Class Study, Presentation (Preparation) |
| 8. Week | Interpolation | Preparation, After Class Study, Presentation (Preparation) |
| 9. Week | Curve fitting | Preparation, After Class Study, Presentation (Preparation) |
| 10. Week | Curve fitting, interpolation and extrapolation methods | Preparation, After Class Study, Presentation (Preparation) |
| 11. Week | Numerical differentiation methods | Preparation, After Class Study, Presentation (Preparation) |
| 12. Week | Numerical integration methods | Preparation, After Class Study, Presentation (Preparation) |
| 13. Week | Solution methods of differential equations-1 | Preparation, After Class Study, Presentation (Preparation) |
| 14. Week | Solution methods of differential equations-2 | Preparation, After Class Study, Presentation (Preparation) |
| 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 | ✔ | |||||
| 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 | ✔ | |||||
| 3 | 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 | Ability to design and conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics | ✔ | |||||
| 7 | 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 | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 |
|---|---|---|---|---|---|---|---|---|---|
| PY1 | 3 | 3 | 2 | 2 | 2 | 2 | 3 | 3 | 4 |
| PY2 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 5 |
| PY3 | 5 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 5 |
| PY5 | 4 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 4 |
| PY7 | 4 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 5 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Dr. Öğr. Üyesi Sümeyye BAYRAKDAR | Vize | 40.00 | |
| Dr. Öğr. Üyesi Sümeyye BAYRAKDAR | 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 |
Preparation, After Class Study | 3 | 1.5 | 4.5 |
| Research | 14 | 1 | 14 | |
| Other Activities | 14 | 1 | 14 | |
|
Sınavlar |
Midterm | 1 | 1 | 1 |
| Final | 1 | 1 | 1 | |
| Total Workload | 76.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
