Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | IMO3072013331 | INTRODUCTION TO ALGEBRA | Compulsory | 3 | 5 | 5 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
To teach algebraic structures and to have ability of solving problems related to the theories of these structures. |
Name of Lecturer(s) |
Doç. Dr. Cemal BELEN |
Learning Outcomes |
1 | Explains the basic concepts related to algebraic structures. | 2 | Recognizes and distinguishes the algebraic structures. | 3 | Determines what kind of create an algebraic structure of a mathematical set. | 4 | Explains the relationships between the algebraic structures. | 5 | Solves problems related to algebraic structures. |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
Binary Operations, Group Concept, Subgroups, Remaining Classes, Permutation Groups, Cyclic Groups, Normal Subgroups, Part groups, The concept of homomorphism and isomorphism, Description of Ring, Subrings, İdeals. |
Weekly Detailed Course Contents |
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1 | Integers | | | 2 | Integers, Binary operations | | | 3 | Group concept | | | 4 | Group concept and its examples | | | 5 | Subgroups | | | 6 | Permutation groups | | | 7 | Homomorphisms | | | 8 | Midterm exam | | | 9 | Cyclic Groups | | | 10 | Remaining Classes | | | 11 | Normal subgroups | | | 12 | Division groups | | | 13 | Rings | | | 14 | Subrings | | | 15 | Ideals | | | 16 | | | |
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Recommended or Required Reading |
1) Neşet Aydın, Hatice Kandamar (2015), Soyut Cebir, Paradigma Akademi Yayınları.
2) Develi, M.H. (2008). Cebire Giriş. Pegem Akademi: Ankara
3) Neşet Aydın, Kazım Kaya, Hatice Kandamar (2011), Soyut Cebir Problemleri, Kriter Basım Yayın. |
Planned Learning Activities and Teaching Methods |
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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 |
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Workload Calculation |
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Midterm Examination | 1 | 2 | 2 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 3 | 42 |
Problem Solving | 14 | 2 | 28 |
Individual Study for Homework Problems | 14 | 2 | 28 |
Individual Study for Mid term Examination | 1 | 24 | 24 |
Individual Study for Final Examination | 1 | 24 | 24 |
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Contribution of Learning Outcomes to Programme Outcomes |
LO1 | 2 | 4 | 5 | 4 | 2 | 3 | 3 | 4 | 3 | 4 | 2 | 5 | 3 | 4 | 4 | 1 | LO2 | 2 | 4 | 4 | 2 | 3 | 4 | 4 | 3 | 4 | 3 | 2 | 4 | 3 | 2 | 3 | 4 | LO3 | 2 | 2 | 3 | 2 | 3 | 3 | 3 | 3 | 5 | 4 | 4 | 2 | 4 | 2 | 3 | 3 | LO4 | 3 | 3 | 3 | 4 | 5 | 4 | 3 | 4 | 4 | 3 | 4 | 4 | 4 | 3 | 3 | 2 | LO5 | 4 | 5 | 3 | 3 | 4 | 4 | 4 | 2 | 3 | 3 | 4 | 4 | 3 | 4 | 3 | 3 |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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