| 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 the numerical solution methods and algorithms of the Engineering problems |
| Course Content | Introduction to Numerical Analysis; Errors in Numerical Calculations; Error Sources; Roots of Equations; Numerical Solutions of Systems of Linear Equations; Solutions of Systems of Nonlinear Equations; Curve Fitting; Regression; Interpolation; Numerical Differentiation and Integration; Numerical Solutions of Ordinary Differential Equations. |
| # | 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 | Practice Interview Presentation (Preparation) Class Hours |
| 2. Week | Establishing an algorithm and introducing the algorithm sub-units. | Presentation (Preparation) Class Hours Practice Interview |
| 3. Week | Matrices and matrix operations | Presentation (Preparation) Practice Interview Class Hours |
| 4. Week | The solution methods of linear equation systems-1 | Class Hours Presentation (Preparation) Interview Practice |
| 5. Week | The solution methods of linear equation systems-2 | Interview Practice Presentation (Preparation) Class Hours |
| 6. Week | The solution methods of non-linear equation systems-1 | Class Hours Practice Presentation (Preparation) Interview |
| 7. Week | The solution methods of non-linear equation systems-2 | Interview Presentation (Preparation) Practice Class Hours |
| 8. Week | Interpolation | Class Hours Interview Presentation (Preparation) |
| 9. Week | Curve fitting | Interview Presentation (Preparation) Class Hours Practice |
| 10. Week | Curve fitting, interpolation and extrapolation methods | Practice Class Hours Interview Presentation (Preparation) |
| 11. Week | Numerical differentiation methods | Practice Presentation (Preparation) Interview Class Hours |
| 12. Week | Numerical integration methods | Practice Interview Presentation (Preparation) Class Hours |
| 13. Week | Solution methods of differential equations-1 | Class Hours Interview Presentation (Preparation) Practice |
| 14. Week | Solution methods of differential equations-2 | Interview Practice Presentation (Preparation) Class Hours |
| 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 | Knowledge and awareness about the management, control, development and security/reliability of Information Technologies | ✔ | |||||
| 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 | ✔ | |||||
| 7 | Ability to work effectively in disciplinary and multi-disciplinary teams; individual study skills | ✔ | |||||
| 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 | ✔ | |||||
| 9 | Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions | ✔ | |||||
| 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 | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 |
|---|---|---|---|---|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| PY5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY6 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY7 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY8 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY9 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY10 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 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 |
|
Ders Dışı |
Preparation, After Class Study | 1 | 1.5 | 1.5 |
| Interview | 14 | 1 | 14 | |
| Presentation (Preparation) | 14 | 1 | 14 | |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Final | 1 | 3 | 3 | |
| Total Workload | 76.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
