Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT506 | GROUP THEORY II | Elective | 1 | 2 | 6 |
|
Level of Course Unit |
Second Cycle |
Objectives of the Course |
To give detailed information on groups. |
Name of Lecturer(s) |
Dr.Öğr.Üyesi Funda TAŞDEMİR |
Learning Outcomes |
1 | The learners have information about Free groups, free products, generators, free abelian groups, finitely generated abelian groups. | 2 | The learners have information about Krull-Schmidt Theorem, Group actions, Sylow Theorems. | 3 | The learners have information about Classification of finite groups, nilpotent and solvable groups. |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
Free groups, fre products, generators, free abelian groups, finitely generated abelian groups, Krull-Schmidt Theorem, Group actions, Sylow Theorems, Classification of finite groups, nilpotent and solvable groups. |
Weekly Detailed Course Contents |
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1 | Free groups, fre products | | | 2 | Free groups, fre products | | | 3 | Free groups, fre products | | | 4 | generators, free abelian groups | | | 5 | generators, free abelian groups | | | 6 | finitely generated abelian groups, Krull-Schmidt Theorem | | | 7 | finitely generated abelian groups, Krull-Schmidt Theorem | | | 8 | MID TERM EXAM | | | 9 | Group actions, Sylow Theorems | | | 10 | Group actions, Sylow Theorems | | | 11 | Group actions, Sylow Theorems | | | 12 | Classification of finite groups | | | 13 | Classification of finite groups | | | 14 | Classification of finite groups | | | 15 | nilpotent and solvable groups. | | | 16 | FINAL EXAM | | |
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Recommended or Required Reading |
1. Hersteın I.N, (1975), Topics In Algebra, Jahn Wiley nad Sons Inc.
2. Hungerford Tomas, (1974), Algebra Springer Verlag New York.
3. Fraleigh John, (1973), A First Course In Abstract Algebra, Addison-Wesley Publishing Company London. |
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 | | 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 |
Self Study | 14 | 3 | 42 |
Individual Study for Mid term Examination | 7 | 6 | 42 |
Individual Study for Final Examination | 7 | 6 | 42 |
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Contribution of Learning Outcomes to Programme Outcomes |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Yozgat Bozok University, Yozgat / TURKEY • Tel (pbx): +90 354 217 86 01 • e-mail: uo@bozok.edu.tr |