| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT30920121310 | ALGEBRA- I | Compulsory | 3 | 5 | 5 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| To develop the ability to think and to interpret correctly and to give people basic information about mathematics. |
| Name of Lecturer(s) |
| Asst. Prof. Dr. Yıldıray ÇELİK |
| Learning Outcomes |
| 1 | Students who successfully complete this course will develop the right thinking and the ability to comment and students will gain basic knowledge about mathematics. |
|
| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Some properties of integers, divisibility, prime factors. Congruence of integers, congruence classes and equation solutions. Groups, subgroups, cyclic groups. Isomorphisms. Finite permutation groups, Cayley's theorem, normal subgroups, quotient groups and homomorphisms. Direct sums of groups. Sylow theorems and some results on finite abelian groups. |
| Weekly Detailed Course Contents |
|
| 1 | Some properties of integers, divisibility, prime factors. | | | | 2 | Congruence of integers, congruence classes and equation solutions. | | | | 3 | Groups, subgroups, cyclic groups. | | | | 4 | Finite and infinite order groups | | | | 5 | Direct product of groups. | | | | 6 | Group homomorphism | | | | 7 | Finite permutation groups | | | | 8 | Midterm exam | | | | 9 | Group isomorphism | | | | 10 | Direct sums of groups. | | | | 11 | Sylow theorems and some results on finite abelian groups. | | | | 12 | Cayley's theorem, normal subgroups | | | | 13 | Cayley's theorem, normal subgroups | | | | 14 | quotient groups and homomorphisms | | | | 15 | symmetric groups, simple groups | | | | 16 | Final exam | | |
|
| Recommended or Required Reading |
| 1-Fethi ÇALLIALP, Soyut Cebir, Sakarya Üniversitesi Yayınları 2000.
2-Algebra, Thomas W. Hungerford
3-Soyut Cebire giriş H.İbrahim KARAKAŞ
4-Soyut Cebir, Ergun BAYAR, Trabzon, 1986. |
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| SUM | 0 | |
| SUM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1.5 | 1.5 |
| Final Examination | 1 | 1.5 | 1.5 |
| Makeup Examination | 1 | 1.5 | 1.5 |
| Quiz | 1 | 1.5 | 1.5 |
| Attending Lectures | 14 | 4 | 56 |
| Practice | 14 | 1 | 14 |
| Problem Solving | 14 | 1 | 14 |
| Self Study | 14 | 2 | 28 |
| Individual Study for Mid term Examination | 3 | 4 | 12 |
| Individual Study for Final Examination | 5 | 4 | 20 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
|
|
|
|
Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
|