| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MT303B | Introduction to Algebra | Compulsory | 3 | 5 | 5 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| Teaching basic algebratic structures. |
| Name of Lecturer(s) |
| Dr. Öğr. Üyesi Tuba AĞIRMAN AYDIN |
| Learning Outcomes |
| 1 | 1. Define dual operations and group, | | 2 | 2. explain the basic properties of groups | | 3 | 3. explain sub groups, normal sub groups and testing if any algebraic structure is a group, sub group or normal sub group by using the definitions and theorems | | 4 | 4. explain remainder classes and revolving group | | 5 | 5. explain homomorphism and cyclic groups | | 6 | 6. learning izomorfizm theorems and their applications | | 7 | 7. gaining the ability of solving problems by using their knowledge on the revolving group and cyclic groups |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Abstract algebra and proof methods |
| Weekly Detailed Course Contents |
|
| 1 | Groups | | | | 2 | Groups | | | | 3 | Subgroups | | | | 4 | Subgroups | | | | 5 | Cyclic Groups | | | | 6 | Cyclic Groups | | | | 7 | Symmetric Groups | | | | 8 | Symmetric Groups | | | | 9 | Quotiol Groups | | | | 10 | Quotiol Groups | | | | 11 | Midterm exam | | | | 12 | Normal Subgroups | | | | 13 | Normal Subgroups | | | | 14 | group homomorhisms | | | | 15 | group homomorhisms | | | | 16 | Final exam | | |
|
| Recommended or Required Reading |
| Cebir Dersleri,Prof.Dr Halil İbrahim KARAKAŞ TÜBA YAYINLARI |
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 40 | | Makeup Examination | 1 | 60 | | SUM | 100 | |
| SUM | 0 | | SUM | 0 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 1 | 1 |
| Attending Lectures | 14 | 3 | 42 |
| Self Study | 14 | 2 | 28 |
| Individual Study for Mid term Examination | 7 | 6 | 42 |
| Individual Study for Final Examination | 6 | 6 | 36 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | | | | | | | | | | | | LO2 | | | | | | | | | | | | LO3 | | | | | | | | | | | | LO4 | | | | | | | | | | | | LO5 | | | | | | | | | | | | LO6 | | | | | | | | | | | | LO7 | | | | | | | | | | |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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