Rapor Tarihi: 24.02.2026 22:04
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Numerical Analysis | CE209 | Turkish | Compulsory | 3. Semester | 3 + 0 | 3.0 | 4.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Lecture, Practise Applications on computer programs, question-answer |
| Course Coordinator | Dr. Öğr. Üyesi Tuba KARAGÜL YILDIZ, Dr. Öğr. Üyesi Sümeyye BAYRAKDAR |
| Instructor(s) | Prof. Dr. Muhammed Enes BAYRAKDAR (Güz) |
| Goals | Teaching the numerical solution methods and algorithms of the Engineering problems |
| Course Content | Errors, root finding methods, interpolation, numerical derivative, integration and differential equation solution |
| # | Öğrenme Kazanımı |
| 1 | Detecting approximate solutions, detecting error concept, recognizing error types and detecting relationships between computer arithmetic and error. |
| 2 | Recognizing general and matrix forms of systems of equations, understanding and applying determinant, minor, cofactor concepts, elementary matrix operations. |
| 3 | Gain the ability to recognize and apply the numerical solution methods of linear equation systems. |
| 4 | Gain the ability to recognize and apply the solution methods of nonlinear systems of equations. |
| 5 | Gain the ability to understand the concept and methods of interpolation and apply it to different problems. |
| 6 | Gain the ability to recognize and apply curve fitting methods. |
| 7 | To gain the ability to understand and apply numerical derivative and integral solution methods. |
| 8 | Gaining the ability to understand and apply numerical solution methods of differential equations. |
| 9 | Gain 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 | |
| 1. Week | Introduction to numerical analysis, numerical methods and the errors | Interview, Presentation (Preparation), Practice |
| 2. Week | Establishing an algorithm and introducing the algorithm sub-units. | Interview, Presentation (Preparation), Practice |
| 2. Week | Establishing an algorithm and introducing the algorithm sub-units. | |
| 3. Week | Matrices and matrix operations | |
| 3. Week | Matrices and matrix operations | Interview, Presentation (Preparation), Practice |
| 4. Week | The solution methods of linear equation systems | Interview, Presentation (Preparation), Practice |
| 4. Week | The solution methods of linear equation systems-1 | |
| 5. Week | The solution methods of linear equation systems-2 | |
| 5. Week | The solution methods of linear equation systems | Interview, Presentation (Preparation), Practice |
| 6. Week | The solution methods of non-linear equation systems | Interview, Presentation (Preparation), Practice |
| 6. Week | The solution methods of non-linear equation systems-1 | |
| 7. Week | The solution methods of non-linear equation systems-2 | |
| 7. Week | The solution methods of non-linear equation systems (continued) | Interview, Presentation (Preparation), Practice |
| 8. Week | Midterm exam | Practice |
| 8. Week | Interpolation | |
| 9. Week | Curve fitting | |
| 9. Week | Curve fitting, interpolation and extrapolation methods | Interview, Presentation (Preparation), Practice |
| 10. Week | Curve fitting, interpolation and extrapolation methods (continued) | Interview, Presentation (Preparation), Practice |
| 10. Week | Curve fitting, interpolation and extrapolation methods | |
| 11. Week | Numerical differentiation methods | |
| 11. Week | Numerical differentiation methods | Interview, Presentation (Preparation), Practice |
| 12. Week | Numerical integration methods | Interview, Presentation (Preparation), Practice |
| 12. Week | Numerical integration methods | |
| 13. Week | Solution methods of differential equations-1 | |
| 13. Week | Solution methods of differential equations | Interview, Presentation (Preparation), Practice |
| 14. Week | Solution methods of differential equations(continued) | Interview, Presentation (Preparation), Practice |
| 14. Week | Solution methods of differential equations-2 |
| 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 | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 |
|---|---|---|---|---|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 3 | 5 | 4 | 4 | 4 | 3 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Prof. Dr. Muhammed Enes BAYRAKDAR | N.Ö | Vize | 40.00 |
| Prof. Dr. Muhammed Enes BAYRAKDAR | N.Ö | 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 |
Practice | 10 | 1 | 10 |
|
Sınavlar |
Midterm 1 | 1 | 12 | 12 |
| Final | 1 | 24 | 24 | |
| Classroom Activities | 14 | 1 | 14 | |
| Total Workload | 102 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 4.0 | ||
