Information Package / Course Catalogue
| Course Code | : İMÖ357 |
| Course Type | : Required |
| Couse Group | : First Cycle (Bachelor's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 2 |
| Prt. | : 0 |
| Credit | : 2 |
| Lab | : 0 |
| ECTS | : 2 |
The aim of this course is to provide the preservice teachers with the basic concepts of algebra, binary operations, group, cosmos, ring, ideal, object, homomorphism, isomorphism, automorphism, and to develop their operational and conceptual skills related to these concepts.
Binary operations. Group definition and basic features. Subgroups, permutation groups, cyclic groups, uniform n-gene symmetry group, cyclic permutations, single and double permutations. Homomorphisms, cosmetics and Lagrange's theorem. Isomorphism theorems. The effect of a group on a cluster. Rings, lower rings and ideals. Prime and maximal ideals. Ring homomorphisms. Arithmetic in rings, polynomial rings, objects. Burnside theorem and its applications, p-groups and related theorems, A_n simplicity for n> 4.
| Lec. Serhan ULUSAN |
| 1. | Explain binary operations and group definition. |
| 2. | Explain subgroups, permutation groups |
| 3. | Explain homomorphism and cyclic groups. |
| 4. | Explain remaining classes and normal subgroups |
| 5. | Make the definition of the ring. |
| 6. | Explains sub rings and ideals. |
| 7. | Explain isomorphism theorems |
| 1. | Soyut Cebir ve Sayılar Teorisi, Mustafa Bayraktar. |
| 2. | Cebir, Ali Osman Asar, Ahmet Arıkan, Aynur Arıkan. |
| 3. | A First Course in Abstract Algebra, John B. Fraleigh. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 1 | %40 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 2 | 28 |
| Individual Work | 7 | 0 | 1 | 7 |
| Midterm Examination | 1 | 4 | 2 | 6 |
| Final Examination | 1 | 7 | 2 | 9 |
| TOTAL WORKLOAD (hours) | 50 | |||
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 | |
OÇ-1 | 3 | 4 | 5 | 4 | 5 | 3 | 1 | 1 | |||||
OÇ-2 | 4 | 3 | 4 | 5 | 4 | 4 | 1 | 1 | |||||
OÇ-3 | 3 | 4 | 4 | 3 | 3 | 4 | 1 | 1 | |||||
OÇ-4 | 5 | 4 | 5 | 5 | 5 | 3 | 1 | 1 | |||||
OÇ-5 | 4 | 4 | 4 | 4 | 4 | 4 | 1 | 1 | |||||
OÇ-6 | 3 | 3 | 3 | 5 | 4 | 3 | 1 | 1 | |||||
OÇ-7 | 5 | 5 | 5 | 4 | 5 | 5 | 1 | 1 | |||||