| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Numerical Analysis | ENM209 | 3. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | |
| Course Coordinator |
Lect. Buşra KESİCİ |
| Instructors |
Buşra KESİCİ |
| Assistants | |
| Goals | The aim of this course is to explain the use of numerical methods for mathematical expressions that require numerical solutions to engineering problems. The solutions of linear and nonlinear equations, and alternative methods for solving various engineering problems by using different mathematical methods such as interpolation, numerical integration, numerical differentiation. |
| Course Content | Roots of Equations, Linear Equation Equations, Interpolation and Curve Fitting, Numerical Differentiation and Numerical Integral, Numerical Solutions of Ordinary Differential Equations, Numerical Solution of Partial Differential Equations |
| Learning Outcomes |
- Understanding the error types - Understanding numerical approximations - Solving linear systems and nonlinear equations numerically - Able to calculate derivatives, integrals and solve differential systems numerically |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Introduction to numerical analysis, numerical methods, errors | Verbal Expression Course Hours |
| 2. Week | olutions of linear equations (Cremer Method, Gauss Elimination Method) | Course Hours Verbal Expression |
| 3. Week | Solutions of linear equations (Gauss Jourdan Method, Crouth Components Method) | Verbal Expression Course Hours |
| 4. Week | Linear Equation Solutions (Jacobi repetition Method, Gauss Seidel Method | Course Hours Verbal Expression |
| 5. Week | Eigenvalues eigenvectors | Verbal Expression Course Hours |
| 6. Week | Finding the root of a nonlinear equation (bisection, faulty point, beam methods) | Verbal Expression Course Hours |
| 7. Week | Finding the root of nonlinear equation (newton Raphson, fixed point iteration methods) | Course Hours Verbal Expression |
| 8. Week | Finding the root of nonlinear equation (newton Raphson, fixed point iteration methods) | Course Hours Verbal Expression |
| 9. Week | Solution of nonlinear systems of equations (Newton Raphson and fixed point iteration methods) | Verbal Expression Course Hours |
| 10. Week | Interpolation (forward difference and split difference interpolation, Gregory Newton Interpolation Methods) | Course Hours Verbal Expression |
| 11. Week | Interpolation (least squares method) | Course Hours Verbal Expression |
| 12. Week | Numerical Derivative | Verbal Expression Course Hours |
| 13. Week | Numerical Integral | Verbal Expression Course Hours |
| 14. Week | Numerical solutions of differential equations | Course Hours Verbal Expression |
| Textbook: • Numerical Analysis and Engineering Applications, İrfan Karagöz, Nobel Academic Publishing, 2011.• Numerical Methods and Matlab Applications, Karaboğa N., Nobel Academic Publishing, 2017. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | Measurement Method |
|---|---|---|---|---|---|---|
| PY1 | 5 | 4 | 5 | 5 | 5 | - |
| PY2 | 2 | 2 | 3 | 2 | 2 | - |
| PY3 | 1 | 1 | 2 | 1 | 1 | - |
| PY4 | 1 | 1 | 1 | 1 | 2 | - |
| PY5 | 5 | 4 | 5 | 5 | 5 | - |
| PY6 | 5 | 5 | 5 | 4 | 5 | - |
| PY7 | 4 | 5 | 4 | 5 | 5 | - |
| PY8 | 5 | 5 | 5 | 5 | 5 | - |
| PY9 | 2 | 2 | 1 | 2 | 2 | - |
| 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 |
| Midterm 1 | 1 | 39.5 | 39.5 |
| Final | 1 | 46 | 46 |
| Total Workload | 127.5 | ||
| ECTS Credit of the Course | 5.0 | ||
