| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Numerical Analysis | ENM209 | Turkish | Compulsory | 3. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | |
| Course Coordinator | Öğr. Gör. Buşra KESİCİ |
| Instructor(s) | Öğr. Gör. Buşra KESİCİ (Güz) |
| 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 |
| # | Öğrenme Kazanımı |
| 1 | Understanding the error types |
| 2 | Understanding numerical approximations |
| 3 | Solving linear systems and nonlinear equations numerically |
| 4 | Able to calculate derivatives, integrals and solve differential systems numerically |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Introduction to numerical analysis, numerical methods, errors | Interview |
| 2. Week | olutions of linear equations (Cremer Method, Gauss Elimination Method) | Interview |
| 3. Week | Solutions of linear equations (Gauss Jourdan Method, Crouth Components Method) | Interview |
| 4. Week | Linear Equation Solutions (Jacobi repetition Method, Gauss Seidel Method | Interview |
| 5. Week | Eigenvalues eigenvectors | Interview |
| 6. Week | Finding the root of a nonlinear equation (bisection, faulty point, beam methods) | Interview |
| 7. Week | Finding the root of nonlinear equation (newton Raphson, fixed point iteration methods) | Interview |
| 8. Week | Finding the root of nonlinear equation (newton Raphson, fixed point iteration methods) | Interview |
| 9. Week | Solution of nonlinear systems of equations (Newton Raphson and fixed point iteration methods) | Interview |
| 10. Week | Interpolation (forward difference and split difference interpolation, Gregory Newton Interpolation Methods) | Interview |
| 11. Week | Interpolation (least squares method) | Interview |
| 12. Week | Numerical Derivative | Interview |
| 13. Week | Numerical Integral | Interview |
| 14. Week | Numerical solutions of differential equations | Interview |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | To have theoretical and / or practical knowledge in the field of mathematics, science, social sciences, engineering and / or industrial engineering, and the ability to use this knowledge to model and solve engineering problems | ✔ | |||||
| 2 | Gaining the ability to work actively in projects and projects aimed at professional development in both individual and multidisciplinary groups and taking responsibility in situations that may arise in this process | ✔ | |||||
| 3 | Knowledge of at least one foreign language at a level that will enable communication with colleagues in the field and follow current developments; ability to write and understand written reports effectively, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | ✔ | |||||
| 4 | To be individuals who are sensitive to universal and social values, have knowledge of professional and ethical responsibilities and standards used in engineering practices. | ✔ | |||||
| 5 | The ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | ✔ | |||||
| 6 | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | ✔ | |||||
| 7 | Ability to select and use modern techniques and tools necessary for the identification, formulation, analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively. | ✔ | |||||
| 8 | Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. | ✔ | |||||
| 9 | Knowledge of the universal and societal impacts of engineering practices on health, environment and safety, and contemporary issues reflected in the field of engineering; awareness of the legal consequences of engineering solutions, the necessity of lifelong learning and the ability to continuously renew oneself. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 |
|---|---|---|---|---|
| PY1 | 4 | 5 | 5 | 5 |
| PY2 | 2 | 3 | 2 | 2 |
| PY3 | 1 | 2 | 1 | 1 |
| PY4 | 1 | 1 | 1 | 2 |
| PY5 | 4 | 5 | 5 | 5 |
| PY6 | 5 | 5 | 4 | 5 |
| PY7 | 5 | 4 | 5 | 5 |
| PY8 | 5 | 5 | 5 | 5 |
| PY9 | 2 | 1 | 2 | 2 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Öğr. Gör. Buşra KESİCİ | Vize | 40.00 | |
| Öğr. Gör. Buşra KESİCİ | Final | 60.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 3 | 42 |
|
Sınavlar |
Midterm 1 | 1 | 39.5 | 39.5 |
| Final | 1 | 46 | 46 | |
| Total Workload | 127.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 5.0 | ||
