| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Numerical Analysis II | MAT342 | 6. 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 |
| Instructors |
İlhame AMİRALİ |
| Assistants | |
| Goals | 1.To give basic datas about lecture. 2.To gain technical datas which will be able to produce appropriate solution for the problems that interest the lecture and require solution |
| Course Content | Solutions of nonlinear equations;Pade approximations;Interpolation by spline functions; High order approximation formulas for derivatives; Numerical integration: Recursive rules and Romberg integration; Numerical solutions of the initial value problems for second order differential equations; Finite-difference and shooting methods; Numerical solutions of parabolic,elliptic and hyperbolic differential equations; Eigenvalues and eigenvectors |
| Learning Outcomes |
- The students gain primary informations about the mathematics |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Solutions of nonlinear equations: Aitken’s process and Steffensen’s and Muller’s methods | |
| 2. Week | Pade approximations, Interpolation by spline functions. | |
| 3. Week | Pade approximations, Interpolation by spline functions. | |
| 4. Week | High order approximation formulas for derivatives | |
| 5. Week | Numerical integration: Recursive rules and Romberg integration | |
| 6. Week | Numerical solutions of the initial value problems for second order differential equations | |
| 7. Week | Numerical solutions of the initial value problems for second order differential equations | |
| 8. Week | Mid-term Exam | |
| 9. Week | Finite Difference and Shooting Methods | |
| 10. Week | Numerical solutions of parabolic differential equations | |
| 11. Week | Numerical solutions of elliptic differential equations | |
| 12. Week | Numerical solutions of hyperbolic differential equations | |
| 13. Week | Numerical solutions of hyperbolic differential equations | |
| 14. Week | Eigenvalues and eigenvectors |
| 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 | 60 |
| PY5 | 1 | 1 | 60 |
| PY6 | 1 | 1 | 60 |
| PY7 | 5 | 5 | 60 |
| PY8 | 5 | 5 | 60 |
| PY9 | 2 | 2 | 60 |
| PY10 | 5 | 5 | 60 |
| PY11 | 1 | 1 | 60 |
| PY12 | 5 | 5 | 60 |
| PY13 | 4 | 4 | 60 |
| PY14 | 2 | 2 | 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 | 14 | 4 | 56 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 1 | 14 |
| Final | 1 | 2 | 2 |
| Practice | 14 | 2 | 28 |
| Practice End-Of-Term | 14 | 2 | 28 |
| Classroom Activities | 14 | 2 | 28 |
| Total Workload | 158 | ||
| ECTS Credit of the Course | 6.0 | ||
