| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Numerical Methods | EEM282 | Turkish | Compulsory | 4. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face, lecture, question and answer |
| Course Coordinator | Prof. Dr. Ali ÖZTÜRK |
| Instructor(s) | |
| Goals | The aim of this course is to explain the use of numerical methods for mathematical expressions that require numerical solutions in engineering problems. The solution of linear and non-linear equations, and alternative methods for solving various engineering problems by using different methods such as interpolation, Numerical Integration, and numerical derivative are explained to students. |
| Course Content | Error analysis, taylor series, solution of linear equations and sets of equations, solution of nonlinear equations and sets of equations, interpolation, numerical derivative, numerical integral, numerical solutions of ordinary differential equations. |
| # | Öğrenme Kazanımı |
| 1 | Students identify engineering problems with the ability to think analytically. |
| 2 | Students learn to solve the given problem by developing data collection and formulating features. |
| 3 | Students will have knowledge about basic Mathematics, Science and Electrical Engineering and can apply it to practice. |
| 4 | Students will have the ability to design, conduct, analyze and interpret a desired engineering experiment. |
| 5 | Students will have the ability to identify, define and solve an engineering problem they encounter. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Taylor Series and error analysis, Electrical and Electronics Engineering Problem solving examples | |
| 2. Week | Linear equation solutions (cramer method, Gauss Jordan Method) Electrical and Electronics Engineering Problem solving examples | |
| 3. Week | Linear equation solutions (Gauss Elimination Method, Crout Decomposition Method) Electrical and Electronics Engineering Problem solving examples | |
| 4. Week | Linear equation solutions (Jacobi Iteration Method, Gauss Seidel Method) | |
| 5. Week | Eigenvalues eigenvectors | |
| 6. Week | Finding the root of a nonlinear equation (Bisection Method, Regula Falsi Method, Secand Methods Newton Raphson methods) | |
| 7. Week | Finding the root of nonlinear equation (Newton Raphson, fixed point iteration methods) | |
| 8. Week | Solution of nonlinear systems of equations (Newton Raphson and fixed point iteration methods) | |
| 9. Week | Midterm Exam | |
| 10. Week | Interpolation (forward difference and split difference interpolation, Gregory Newton Interpolation Methods) | |
| 11. Week | Interpolation (least squares method) | |
| 12. Week | Numerical Derivative | |
| 13. Week | Numerical integral | |
| 14. Week | Numerical solutions of differential equations |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge in mathematics, science, and related engineering disciplines; ability to use theoretical and applied information in these areas to solve complex engineering problems. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 |
|---|---|---|---|---|---|
| PY1 | 5 | 5 | 4 | 4 | 4 |
| Ders Kitabı veya Notu | |
|---|---|
| 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 | 14 | 1 | 14 |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Midterm 2 | 1 | 2 | 2 | |
| Homework 1 | 7 | 1 | 7 | |
| Homework 2 | 7 | 1 | 7 | |
| Quiz 1 | 1 | 1 | 1 | |
| Quiz 2 | 1 | 1 | 1 | |
| Final | 1 | 2 | 2 | |
| Practice | 4 | 4 | 16 | |
| Practice End-Of-Term | 4 | 4 | 16 | |
| Classroom Activities | 3 | 6 | 18 | |
| Total Workload | 128 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 5.0 | ||
