| MATHEMATICS (TURKISH, PHD) | |||||
| PhD | TR-NQF-HE: Level 8 | QF-EHEA: Third Cycle | EQF-LLL: Level 8 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT5001 | Abstract Algebra I | Fall | 3 | 0 | 3 | 8 |
| The course opens with the approval of the Department at the beginning of each semester |
| Language of instruction: | Tr |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Assoc. Prof. ATABEY KAYGUN |
| Course Objectives: | To prepare the graduate students to higher level graduate mathematics courses. |
|
The students who have succeeded in this course; A student who passes this course successfully will have acquired enough background in basic group theory to be able to follow higher level graduate mathematics classes on the subject. |
| Week | Subject | Related Preparation | |
| 1) | Set theory. Functions and relations. Induction and recursion. | ||
| 2) | Groups. Matrix groups. Subgroups of matrix groups. | ||
| 3) | Symmetric groups and their subgroups. | ||
| 4) | Groups by generators and relations. Reduced words. | ||
| 5) | Abelian groups and classification of finite abelian groups. | ||
| 6) | Vector space over finite fields and matrix groups over finite fields. | ||
| 7) | Finite groups of Lie type. | ||
| 8) | Combinatrics and counting problems in finite groups of Lie type. | ||
| 9) | Group actions and orbits. | ||
| 10) | Sylow Theorems. | ||
| 11) | Sylow Theorems. | ||
| 12) | Selected topics from groups theory. | ||
| 13) | Selected topics from groups theory. | ||
| 14) | Selected topics from groups theory. | ||
| Course Notes: | Instructor's own lectures notes. S. Lang, "Algebra" |
| References: |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | % 0 | |
| Laboratory | % 0 | |
| Application | % 0 | |
| Field Work | % 0 | |
| Special Course Internship (Work Placement) | % 0 | |
| Quizzes | % 0 | |
| Homework Assignments | % 0 | |
| Presentation | % 0 | |
| Project | 1 | % 20 |
| Seminar | % 0 | |
| Midterms | 2 | % 40 |
| Preliminary Jury | % 0 | |
| Final | 1 | % 40 |
| Paper Submission | % 0 | |
| Jury | % 0 | |
| Bütünleme | % 0 | |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 40 | |
| PERCENTAGE OF FINAL WORK | % 60 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Laboratory | 0 | 0 | 0 |
| Application | 0 | 0 | 0 |
| Special Course Internship (Work Placement) | 0 | 0 | 0 |
| Field Work | 0 | 0 | 0 |
| Study Hours Out of Class | 14 | 6 | 84 |
| Presentations / Seminar | 1 | 1 | 1 |
| Project | 1 | 40 | 40 |
| Homework Assignments | 0 | 0 | 0 |
| Quizzes | 0 | 0 | 0 |
| Preliminary Jury | 0 | ||
| Midterms | 2 | 10 | 20 |
| Paper Submission | 0 | ||
| Jury | 0 | ||
| Final | 1 | 13 | 13 |
| Total Workload | 200 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution |