| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Numerical Analysis | BM229 | 3. Semester | 3 + 0 | 3.0 | 3.0 |
| Prerequisite Courses | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Oral presentation, visual presentation and question and answer |
| Course Coordinator | |
| Instructor(s) |
Sümeyye BAYRAKDAR |
| Assistants | |
| 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. |
| 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/Applications | Method |
|---|---|---|
| 1. Week | Introduction to numerical analysis, numerical methods and the errors | Practice Course Hours Verbal Expression Visual Presentation |
| 2. Week | Establishing an algorithm and introducing the algorithm sub-units. | Verbal Expression Course Hours Visual Presentation Practice |
| 3. Week | Matrices and matrix operations | Verbal Expression Visual Presentation Practice Course Hours |
| 4. Week | The solution methods of linear equation systems-1 | Visual Presentation Practice Verbal Expression Course Hours |
| 5. Week | The solution methods of linear equation systems-2 | Course Hours Practice Verbal Expression Visual Presentation |
| 6. Week | The solution methods of non-linear equation systems-1 | Visual Presentation Course Hours Verbal Expression Practice |
| 7. Week | The solution methods of non-linear equation systems-2 | Course Hours Practice Verbal Expression Visual Presentation |
| 8. Week | Interpolation | Visual Presentation Course Hours Verbal Expression |
| 9. Week | Curve fitting | Course Hours Verbal Expression Visual Presentation Practice |
| 10. Week | Curve fitting, interpolation and extrapolation methods | Verbal Expression Practice Visual Presentation Course Hours |
| 11. Week | Numerical differentiation methods | Verbal Expression Visual Presentation Practice Course Hours |
| 12. Week | Numerical integration methods | Visual Presentation Practice Course Hours Verbal Expression |
| 13. Week | Solution methods of differential equations-1 | Course Hours Verbal Expression Visual Presentation Practice |
| 14. Week | Solution methods of differential equations-2 | Course Hours Visual Presentation Verbal Expression Practice |
| Lecture Notes |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 | Measurement Method |
|---|---|---|---|---|---|---|---|---|---|---|---|
| PY1 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY2 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY3 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY4 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY5 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY6 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY7 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY8 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY9 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY10 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| 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 | 3 | 42 |
| Preparation, After Class Study | 1 | 1.5 | 1.5 |
| Verbal Expression | 14 | 1 | 14 |
| Visual Presentation | 14 | 1 | 14 |
| Midterm 1 | 1 | 2 | 2 |
| Final | 1 | 3 | 3 |
| Total Workload | 76.5 | ||
| ECTS Credit of the Course | 3.0 | ||
