
| Course Code | : MTK626 |
| Course Type | : Area Elective |
| Couse Group | : Third Cycle (Doctorate Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 8 |
To introduce advanced homological algebra.
To give abstract homological algebra, to study properties of kernels and cokernels, to study arrow categories, to study limit and colimit, to give Lazard’s Theorem, to give dimensions in homology.
| 1. | To introduce advanced homological properties |
| 2. | To study some algebraic subjects in homological way |
| 3. | To analyse some proof techniques in other fields in homological way |
| 4. | To study dimensions in homological way |
| 5. | To be able to use mathematical concepts in solving certain types of problems |
| 1. | Basic Homological Algebra, M. Scott Osborne, Spinger Verlag, 2000. |
| 2. | Homology , Saunders Mclane, Spinger Verlag , 1995. |
| 3. | Introduction of Homological Algebra, Rotman, J.J., 2009. |
| 4. | Relative Homological Algebra, Edgar, E, Enochs, Overtoun M.G. Jenda, Berlin, New York: de Gruyter, 2000. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 2 | %30 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 3 | 3 | 84 |
| Assignment | 2 | 16 | 2 | 36 |
| Individual Work | 14 | 0 | 2 | 28 |
| Final Examination | 1 | 50 | 2 | 52 |
| TOTAL WORKLOAD (hours) | 200 | |||
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 | 4 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 4 | 4 | 5 | ||
OÇ-2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 4 | 4 | 5 | 5 | |
OÇ-3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 4 | 4 | 5 | 5 | |
OÇ-4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 4 | 3 | 4 | 5 | |
OÇ-5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 5 | 3 | 4 | 4 | 5 | 5 | |