Information Package / Course Catalogue
| Course Code | : MTK624 |
| 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 |
This course aims to give students the basic concepts of category theory, 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.
Categories, monomorphism, epimorphism, initial and terminal objects, functors, natural transformations, category of functors, limits in categories, equalizer, coequalizer, limits, colimits, limits in category of fuctors, universal transformations, adjoint functors.
| 1. | Be able to comprehend the basic concepts of category theory |
| 2. | Be able to comprehend abstract concepts |
| 3. | Be able to comprehend analytical thinking |
| 4. | To be able to gain the skill of interpreting some interrelations among these concepts |
| 5. | To be able to use mathematical concepts in solving certain types of problems |
| 1. | “Categories for the Working Mathematician”, MacLane, S., Springer-Verlag, 1971. |
| 2. | “Category Theory”, Herrlich, H. And Strecker, G. E., Allyn and Bacon Inc., Boston |
| 3. | Wisbauer, Robert. "Foundationns of module and ring theory", Gordon and Breach Science Publishers, 1991 |
| 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 | 0 | 3 | 42 |
| Assignment | 1 | 0 | 6 | 6 |
| Term Project | 1 | 0 | 6 | 6 |
| Individual Work | 14 | 0 | 5 | 70 |
| Midterm Examination | 1 | 30 | 2 | 32 |
| Final Examination | 1 | 42 | 2 | 44 |
| 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 | 3 | 4 | 3 | 4 | 4 | 4 | 3 | 4 | 4 | 5 | ||
OÇ-2 | 4 | 4 | 5 | 4 | 4 | 4 | 5 | 4 | 4 | 4 | 4 | 3 | 4 | ||
OÇ-3 | 4 | 4 | 5 | 4 | 4 | 4 | 5 | 4 | 4 | 4 | 4 | 3 | 3 | 4 | |
OÇ-4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 5 | 4 | 4 | 4 | 4 | 5 | ||
OÇ-5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 5 | 4 | 4 | 4 | 4 | 5 | 5 | |