
| Course Code | : MTK559 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 8 |
The purpose of this course is to introduce students to the topics in the course content.
Groups, cyclic and dihedral groups, finite groups, permutations, matrix groups, group action, orbit and stabiliser of a point, symmetry groups of regular polygons and regular polytopes, finite rotation groups, isometries of the Euclidean plane.
| 1. | Ability to define the concepts of a group |
| 2. | Ability to explain the concepts of cyclic and dihedral groups |
| 3. | Ability to explain the concept of group action |
| 4. | Ability to determine the symmetry groups of regular polygons and regular polytopes |
| 5. | Ability to explain the isometries of the Euclidean plane |
| 1. | Armstrong, M.A. (1988) Groups and Symmetry, Springer |
| 2. | Farmer, D. (1996) Groups and Symmetry, American Mathematical Society |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 1 | %30 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 3 | 42 |
| Individual Work | 14 | 0 | 5 | 70 |
| Midterm Examination | 1 | 16 | 2 | 18 |
| Final Examination | 1 | 18 | 2 | 20 |
| TOTAL WORKLOAD (hours) | 150 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | |
OÇ-1 | 3 | 4 | 3 | 4 | 2 | 3 | 1 | 2 | 3 | ||||||
OÇ-2 | 3 | 4 | 3 | 4 | 2 | 3 | 1 | 2 | 3 | ||||||
OÇ-3 | 3 | 4 | 3 | 4 | 2 | 3 | 1 | 2 | 3 | ||||||
OÇ-4 | 3 | 4 | 3 | 4 | 2 | 3 | 1 | 2 | 3 | ||||||
OÇ-5 | 3 | 4 | 3 | 4 | 2 | 3 | 1 | 2 | 3 | ||||||