Information Package / Course Catalogue
| Course Code | : MTK575 |
| 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 | : 6 |
This course aims to give students the basic concepts of homological algebra, to develop analytical thinking and understanding of abstract concepts. This course aims to gain a systematic approach to define problems and to solve the problems by the discussed topics and their applications.
Abel Groups, Rings, Modules, Homomorphisms, Free Modules, Exact Sequences, 5- Lemma ve 3x3 Lemma, Hom Functor, Projektive ve İnjektive Modules, Essential and Superfluous Submodules, Supplements, Category of Complexes, Projektive and İnjektive Resolutions, Derived Functor
| 1. | To be able to comprehend the concepts of abelian group, ring, module and homomorphism. |
| 2. | To be able to comprehend the basic concepts of homological algebra. |
| 3. | To be able to comprehend abstract concepts. |
| 4. | To be able to develop analytical thinking. |
| 5. | To be able to gain the skill of interpreting some interrelations among these concepts. |
| 1. | Rotman, J.J., “An Introduction to Homological Algebra”, Academic Press, 1979 |
| 2. | Northcott D. G. “An Introduction to Homological Algebra”, Cambridge at the University Press, 1960 |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Term Assignment | 1 | %5 |
| Midterm Examination | 1 | %20 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 1 | 3 | 56 |
| Assignment | 1 | 10 | 2 | 12 |
| Term Project | 1 | 10 | 2 | 12 |
| Individual Work | 14 | 0 | 1 | 14 |
| Midterm Examination | 1 | 20 | 2 | 22 |
| Final Examination | 1 | 32 | 2 | 34 |
| 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 | 4 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | ||||||
OÇ-2 | 4 | 4 | 4 | 4 | 5 | 5 | 4 | 4 | 5 | ||||||
OÇ-3 | 4 | 4 | 5 | 4 | 5 | 5 | 4 | 4 | 4 | 3 | 5 | ||||
OÇ-4 | 4 | 4 | 5 | 4 | 5 | 5 | 4 | 4 | 3 | 3 | 5 | ||||
OÇ-5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | ||||