| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Applied Numerical Methods | MAT609 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assoc. Prof. Dr. Nejla ÖZMEN |
| Instructors | |
| Assistants | |
| Goals | To give information about numerical methods and their applications. |
| Course Content | Approximate numbers and operations on them, Numerical methods for singular integral equations, Finding equation roots, Numerical derivative and integral, Numerical solution methods of differantial equations, Finite difference schemes, Direct and iteration methods of Finite difference equations, Finite-difference schemes of Mathematicial physics equations, Three-layer schematics, monotone difference schematics, Economic solution methods of multi dimensional nonstable problems , Numerical Solution Methods of Integral equations, Numerical Solution Methods for Singular integral equations |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics. - Students will learn how to read academical journals. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Approximate numbers and operations on them | |
| 1. Week | Numerical Solution Methods for Singular integral equations | |
| 2. Week | Finding equation roots | |
| 3. Week | Numerical derivative and integral | |
| 4. Week | Numerical solution methods of differantial equations | |
| 5. Week | Finite difference schemes, Direct and iteration methods of Finite difference equations | |
| 6. Week | Finite-difference schemes of Mathematicial physics equations | |
| 7. Week | Three-layer schematics, monotone difference schematics | |
| 8. Week | Mid-term Exam | |
| 9. Week | Economical solution methods of multidimensional non-stationary problems | |
| 10. Week | Economic solution methods of multi dimensional nonstable problems | |
| 11. Week | Numerical Solution Methods of Integral equations | |
| 12. Week | Numerical Solution Methods of Integral equations | |
| 13. Week | Numerical Solution Methods for Singular integral equations | |
| 14. Week | Numerical Solution Methods for Singular integral equations |
| 1.Numerical Analysis, Kincaid D, Cheney Word, California: Brooks/Cole Publ.Comp.1990. |
| 2.Numerical Methods, Samarskii A.A., Gulin A.V., Moscow: Mir, 1994. |
| 3.Numerical Analysis, Schied F., New York : Mc Graw-Hill, 1988. |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 50 | 60 | 40 | 40,60 |
| PY2 | 50 | 60 | 40 | 40,60 |
| PY3 | 50 | 60 | 40 | 40,60 |
| PY4 | 50 | 60 | 40 | 40,60 |
| PY5 | 50 | 60 | 40 | 40,60 |
| PY6 | 50 | 60 | 40 | 40,60 |
| PY7 | 50 | 60 | 40 | 40,60 |
| PY8 | 50 | 60 | 40 | 40,60 |
| PY9 | 50 | 60 | 40 | 40,60 |
| PY10 | 50 | 60 | 40 | 40,60 |
| 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 | 3 | 42 |
| Preparation, After Class Study | 14 | 2 | 28 |
| Research | 14 | 2 | 28 |
| Other Activities | 14 | 1 | 14 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 1 | 14 |
| Homework 2 | 14 | 1 | 14 |
| Final | 1 | 2 | 2 |
| Practice | 14 | 1 | 14 |
| Practice End-Of-Term | 2 | 2 | 4 |
| Classroom Activities | 14 | 3 | 42 |
| Total Workload | 204 | ||
| ECTS Credit of the Course | 8.0 | ||
