| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Field Theory | MAT555 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Res. Assist. Zehra İŞBİLİR |
| Instructors | |
| Assistants | |
| Goals | To give advanced knowledge of field theory. |
| Course Content | Decomposition fields, Automorphizms, Fields with zero characteristic, Fields with prime characteristic, Automorphizms groups of a field, Separable polynomials, Normal fields, İnvariant subgroups, Finite fields, Polynomials with integer coefficient |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics. - Students will learn how to read academical journals. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Decomposition fields | |
| 2. Week | Automorphizms | |
| 3. Week | Fields with zero characteristic | |
| 4. Week | Fields with prime characteristic | |
| 5. Week | Otomorfizm groups of a field | |
| 6. Week | Separable polynomials | |
| 7. Week | Separable polynomials | |
| 8. Week | Normal fields | |
| 9. Week | Mid-term Exam | |
| 10. Week | Invariant subgroups | |
| 11. Week | Invariant subgroups | |
| 12. Week | Finite fields | |
| 13. Week | Finite fields | |
| 14. Week | Polynomials with integer coefficient | |
| 15. Week | Polynomials with integer coefficient |
| Algebra, Thomas W. Hungerford. |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 2 | 1 | 1 | 40,60 |
| PY2 | 2 | 1 | 1 | 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) |
|---|---|---|---|
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 2 | 28 |
| Homework 2 | 14 | 2 | 28 |
| Final | 1 | 12 | 12 |
| Practice | 14 | 3 | 42 |
| Practice End-Of-Term | 15 | 3 | 45 |
| Classroom Activities | 14 | 3 | 42 |
| Total Workload | 199 | ||
| ECTS Credit of the Course | 8.0 | ||
