| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Numerical Analysis I | MAT341 | 5. Semester | 2 + 2 | 3.0 | 6.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Prof. Dr. İlhame AMİRALİ |
| Instructor(s) |
İlhame AMİRALİ |
| Assistants | |
| Goals | To provide students the ability of using computers to solve numerical problems and to emphasize the importance of error analysis. |
| Course Content | Binary Number System; Error analysis; Solving the equation x = g(x): Fixed-point iteration; Newton method for nonlinear system; Solutions of linear system equations; Lagrange and Newton polynomials; polinomial approximation; Numerical diferentiation, integration and Optimization; Numerical solutions of initial and boundary value problems. |
| Learning Outcomes |
- The students gain primary informations about the mathematics |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Binary Number System | |
| 2. Week | Error analysis | |
| 3. Week | Soltions of x= g(x), Fixed-Point Iteration, Creep Method, Newton-Raphson and Beam Methods | |
| 4. Week | Aitken’s Process, Steffensen’s and Muller’s Methods | |
| 5. Week | Iterations for Nonlinear Systems | |
| 6. Week | Newton’s Method for Nonlinear Systems | |
| 7. Week | Solutions of systems of linear equations: Gaussian Elimination and LU decomposition | |
| 8. Week | Mid-term Exam | |
| 9. Week | Lagrange Polynomıals | |
| 10. Week | Newton Polynomials and Polynomial Approximation | |
| 11. Week | Least Squares Method, Curve Fitting | |
| 12. Week | Numerical Differentiation and Numerical Integration | |
| 13. Week | Numerical Optimization | |
| 14. Week | Numerical Solutions of Initial and Boundary Value Problems: Euler, Heun, Taylor and Runge-Kutta Methods |
| 1.Kincaid D, Cheney Word, Numerical Analysis, California: Brooks/Cole Publ.Comp.1990. |
| 2.Richard L. Burden, J.Douglas Faires. Numerical Analysis,PWS-KENT Pub.Com.., 1989 |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 4 | 4 | 60 |
| PY2 | 5 | 5 | 60 |
| PY3 | 4 | 4 | 60 |
| PY4 | 4 | 4 | - |
| PY5 | 1 | 1 | 60 |
| PY6 | 0 | 0 | 60 |
| PY7 | 5 | 5 | 60 |
| PY8 | 5 | 5 | 60 |
| PY9 | 3 | 3 | 60 |
| PY10 | 4 | 4 | 60 |
| PY11 | 1 | 1 | 60 |
| PY12 | 5 | 5 | 60 |
| PY13 | 4 | 4 | 60 |
| PY14 | 4 | 4 | 60 |
| PY15 | 4 | 4 | 60 |
| 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 | 13 | 4 | 52 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 2 | 28 |
| Homework 2 | 14 | 1 | 14 |
| Final | 1 | 2 | 2 |
| Practice | 14 | 1 | 14 |
| Practice End-Of-Term | 14 | 1 | 14 |
| Classroom Activities | 14 | 2 | 28 |
| Total Workload | 154 | ||
| ECTS Credit of the Course | 6.0 | ||
