| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Field Extensions | MAT611 | 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. Burcu FEDAKAR |
| Instructors | |
| Assistants | |
| Goals | Ensuring high level of knowledge related to the topics in the content of the course, giving the ability of using this konwledge in discussion and research environments to students. |
| Course Content | Polinom rings, Simple expansions, Vector spaces, Algebraic expansions, Field otomorfizms, Isomorphism expansion theorem, Disintegration fields, Seperable expansions, Exactly nonseperable expansions, Finite fields , Galois Theory and Applications |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics - Students will learn how to read academical journals |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Polinom rings | |
| 2. Week | Simple expansions | |
| 3. Week | Vector spaces | |
| 4. Week | Algebraic expansions | |
| 5. Week | Field otomorphisms | |
| 6. Week | İsomorphism expansion theorem | |
| 7. Week | Disintegration fields | |
| 8. Week | Midterm | |
| 9. Week | Seperable expansions | |
| 10. Week | Exactly nonseperable expansions | |
| 11. Week | Finite fields | |
| 12. Week | Finite fields | |
| 13. Week | Galois Theory and Applications | |
| 14. Week | Galois Theory and Applications |
| 1.Algebra, Thomas W. Hungarford. Halt, Rinehart and Winston, inc. New York(1974). |
| 2.A First Course in Abstract Algebra John B. Fraleigh. Addison-Wesley Publishing Company. |
| 3.Algebra, Serge Lang. Addison-Wesley Publishing Company (1993). |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 5 | 0 | 0 | 40 |
| PY2 | 5 | 0 | 0 | 40 |
| PY3 | 4 | 0 | 0 | 60 |
| PY4 | 5 | 0 | 0 | 60 |
| PY5 | 5 | 0 | 0 | 40 |
| PY6 | 5 | 0 | 0 | 60 |
| PY7 | 5 | 0 | 0 | 40 |
| PY8 | 4 | 0 | 0 | 60 |
| PY9 | 5 | 0 | 0 | 60 |
| PY10 | 4 | 0 | 0 | 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 | 1 | 3 | 3 |
| Research | 14 | 2 | 28 |
| Midterm 1 | 1 | 2 | 2 |
| Midterm 2 | 1 | 2 | 2 |
| Homework 1 | 14 | 3 | 42 |
| Homework 2 | 14 | 2 | 28 |
| Quiz 1 | 1 | 2 | 2 |
| Quiz 2 | 1 | 2 | 2 |
| Final | 1 | 2 | 2 |
| Practice | 6 | 12 | 72 |
| Classroom Activities | 14 | 1 | 14 |
| Total Workload | 197 | ||
| ECTS Credit of the Course | 8.0 | ||
