| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Theory Of Groups | MAT509 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Prof. Dr. Arzu ÖZKOÇ ÖZTÜRK |
| Instructors |
Arzu ÖZKOÇ ÖZTÜRK |
| 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 | Basic concepts of group theory, Free groups and decomposition of a group, Abelian groups, Nilpotent groups, Free groups and free products, Finite permutation groups, Representations of groups, Finite resolvable groups |
| Learning Outcomes |
- The student's ability to think and interpret correctly will improve and the student will gain basic knowledge about mathematics. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Basic Concepts of Group theory | |
| 2. Week | Basic Concepts of Group theory | |
| 3. Week | Free Groups and decomposition of group | |
| 4. Week | Free Groups and decomposition of group | |
| 5. Week | Abelian Groups | |
| 6. Week | Abelian Groups | |
| 7. Week | Nilpotent Groups | |
| 8. Week | midterm | |
| 9. Week | Free Groups and Free Products | |
| 10. Week | Free Groups and Free Products | |
| 11. Week | Finite permutation groups | |
| 12. Week | Finite permutation groups | |
| 13. Week | Representations of groups | |
| 14. Week | Finite resolvable groups |
| 1.Theteory of Rings, Neal H. Mc Coy |
| 2.Algebria, Thomas W. Hungerford |
| 3.A Course in the Theory of Groups, Derek. J. S. Robinson |
| John B. Fraleigh, A First course in Abstract Algebra |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 2 | 0 | 40 |
| PY2 | 4 | 0 | 40 |
| PY3 | 3 | 0 | 40 |
| PY4 | 1 | 0 | 40 |
| PY5 | 4 | 0 | 40 |
| PY6 | 3 | 0 | 40 |
| PY7 | 5 | 0 | 40 |
| PY8 | 4 | 0 | 40 |
| PY9 | 2 | 0 | 60 |
| PY10 | 3 | 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 | 14 | 3 | 42 |
| Preparation, After Class Study | 14 | 1 | 14 |
| Research | 14 | 1 | 14 |
| Other Activities | 14 | 1 | 14 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 2 | 28 |
| Homework 2 | 14 | 1 | 14 |
| Final | 1 | 2 | 2 |
| Practice | 14 | 2 | 28 |
| Practice End-Of-Term | 14 | 1 | 14 |
| Classroom Activities | 14 | 2 | 28 |
| Total Workload | 200 | ||
| ECTS Credit of the Course | 8.0 | ||
