Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | 170300401504 | ABSTRACT ALGEBRA I | Compulsory | 3 | 5 | 5 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
To provide students to develop their theoretical thinking power on Algebraic Structures, Semi-Groups, Groups and special group examples. |
Name of Lecturer(s) |
Dr. Öğr. Üyesi Ezgi KAYA |
Learning Outcomes |
1 | To get the abstract and analythic thought experience. | 2 | By getting experience on mathematical materials, will be compared among them | 3 | To get use the basic research tehniques on sciences |
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Mode of Delivery |
Daytime Class |
Prerequisites and co-requisities |
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Recommended Optional Programme Components |
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Course Contents |
Sets, Integers and Properties, Equivalence Relations and Equivalence Classes, Functions, Semi-Groups, Groups, Cyclic Subgroups, Cosets and Lagrange Theorem, Homomorphisms, Normal Subgroups, Symmetric Groups |
Weekly Detailed Course Contents |
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1 | Set Theory and Logic | | | 2 | Fundamentals of the integers set | | | 3 | Congruence relations and classes | | | 4 | Functions | | | 5 | Algebraic structures and semigroups | | | 6 | Intoductions to the groups | | | 7 | Groups | | | 8 | Midterm Exam | | | 9 | Cyclic Groups | | | 10 | Cosets and the Lagrange Theorem | | | 11 | Homomorphisms | | | 12 | Normal and Quotient groups | | | 13 | Symmetric groups | | | 14 | Symmetric groups | | | 15 | Final Exam | | |
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Recommended or Required Reading |
Ahmet Sinan Çevik, Cebire Giriş, Detay Yayıncılık, (2008).
Fethi Çallıalp, Örneklerle Soyut Cebir, Birsen Yayınevi, (2001).
Dursun Taşcı, Soyut Cebir, Alp Yayınevi, (2007). |
Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | |
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Workload Calculation |
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Midterm Examination | 1 | 1 | 1 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 3 | 42 |
Question-Answer | 14 | 3 | 42 |
Individual Study for Mid term Examination | 1 | 25 | 25 |
Individual Study for Final Examination | 1 | 35 | 35 |
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Contribution of Learning Outcomes to Programme Outcomes |
LO1 | 4 | 4 | 4 | 4 | 5 | 4 | 3 | 4 | 4 | 4 | LO2 | 4 | 4 | 4 | 4 | 5 | 4 | 3 | 4 | 4 | 4 | LO3 | 4 | 4 | 4 | 4 | 5 | 4 | 3 | 4 | 4 | 4 |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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