| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Numerical Analysis | BMM215 | 3. Semester | 2 + 0 | 2.0 | 2.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Lecture, Practise Applications on computer programs, question-answer |
| Course Coordinator |
Res. Assist. Sümeyye BAYRAKDAR |
| Instructors |
Sümeyye BAYRAKDAR |
| Assistants | |
| 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 |
| Learning Outcomes |
- Detecting approximate solutions, detecting error concept, recognizing error types and detecting relationships between computer arithmetic and error. - Recognizing general and matrix forms of systems of equations, understanding and applying determinant, minor, cofactor concepts, elementary matrix operations. - Gain the ability to recognize and apply the numerical solution methods of linear equation systems. - Gain the ability to recognize and apply the solution methods of nonlinear systems of equations. - Gain the ability to understand the concept and methods of interpolation and apply it to different problems. - Gain the ability to recognize and apply curve fitting methods. - To gain the ability to understand and apply numerical derivative and integral solution methods. - Gaining the ability to understand and apply numerical solution methods of differential equations. - Gain the ability to develop algorithms for all approaches and to design and implement in MATLAB environment. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Introduction to numerical analysis, numerical methods and the errors | Course Hours |
| 2. Week | Establishing an algorithm and introducing the algorithm sub-units. | Course Hours |
| 3. Week | Matrices and matrix operations | Course Hours |
| 4. Week | The solution methods of linear equation systems-1 | Course Hours |
| 5. Week | The solution methods of linear equation systems-2 | Course Hours |
| 6. Week | The solution methods of non-linear equation systems-1 | Course Hours |
| 7. Week | The solution methods of non-linear equation systems-2 | Course Hours |
| 8. Week | MATLAB examples | Course Hours |
| 9. Week | Curve fitting, interpolation and extrapolation methods-1 | Course Hours |
| 10. Week | Curve fitting, interpolation and extrapolation methods-2 | Course Hours |
| 11. Week | Numerical differentiation methods | Course Hours |
| 12. Week | Numerical integration methods | Course Hours |
| 13. Week | Solution methods of differential equations-1 | Course Hours |
| 14. Week | Solution methods of differential equations-2 | Course Hours |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 | Measurement Method |
|---|
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 2 | 28 |
| Midterm 1 | 1 | 4 | 4 |
| Final | 1 | 5 | 5 |
| Classroom Activities | 14 | 1 | 14 |
| Total Workload | 51 | ||
| ECTS Credit of the Course | 2.0 | ||
