Information Package / Course Catalogue
| Course Code | : MAT404 |
| Course Type | : Area Elective |
| Couse Group | : First Cycle (Bachelor's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 6 |
The aim of this course is to introduce the concepts of ring and module theory and to provide the necessary background to study in these areas.
Modules, Submodules and Ideals, Internal Direct Sums, Quotient Modules and Quotient Rings, Module and Ring Homomorphisms, Factorization of Homomorphisms, Exact Sequences, Direct Products and Direct Sums, Free Modules
| Lec. Berna ARSLAN |
| 1. | To understand the basic concepts of module structure. |
| 2. | To establish relationships between ring and module structures. |
| 3. | To understand the concept of internal direct sum. |
| 4. | To understand the concept of exact sequence. |
| 5. | To understand the concept of split exact sequence. |
| 1. | Kasch, F., “Modules and Rings”, Academic Press Inc. ,1982. |
| 2. | Anderson, F. W., Fuller, K. R., Rings and Categories of Modules, Springer-Verlag, Second Edition, 1991. |
| 3. | Hungerford, T. W., “Algebra”, Springer Verlag; 8th edition, 1997. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 1 | %40 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 2 | 3 | 70 |
| Individual Work | 14 | 0 | 2 | 28 |
| Midterm Examination | 1 | 20 | 2 | 22 |
| Final Examination | 1 | 28 | 2 | 30 |
| 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 | PÇ-16 | PÇ-17 | PÇ-18 | |
OÇ-1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | |||||||||||
OÇ-2 | 5 | 5 | 5 | 3 | 5 | 5 | 5 | |||||||||||
OÇ-3 | 5 | 5 | 5 | 4 | 5 | 5 | 5 | |||||||||||
OÇ-4 | 5 | 5 | 5 | 4 | 5 | 5 | 5 | |||||||||||
OÇ-5 | ||||||||||||||||||