Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 3 / Fall Semester | ||||
| Level of Course | 1st Cycle Degree Programme | ||||
| Type of Course | Compulsory | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | SEZER SORGUN (ssorgun@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | |||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | no | ||||
| Objectives of the Course | |||||
| To assist the student in learning ideas about structure of groups and to lead them to an appreciation of the unifying power of the abstract algebra point of view in surveying the problems of algebra. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Can understand the most general and fundamental notions of structure of groups. |
PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts. |
Examination |
| LO-2 | Can know and use cyclic groups |
PO-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data. |
Examination |
| LO-3 | Can know and use theorems of isomorphism |
PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods |
Examination |
| LO-4 | Can know Sylow theorems and apply on problems. |
PO-10 With the knowledge of foreign language required the field of mathematics, use and follow information technologies by the level of European Language Portfoy B1. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Groups, Subgroups, Permutations, Cyclic Groups, Direct Products, Finete Generated Abelian Groups, Cosets, Normal Subgroups and Quotient Groups, Homomorphisms, The Izomorphism Theorems, Group Actions, Sylow Theorems and Applications, Free Serbest Abelian Grups. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Groups, Subgroups | problem-solving |
| 2 | Permutations | problem-solving |
| 3 | cyclic groups | problem-solving |
| 4 | direct product | problem-solving |
| 5 | Finete Generated Abelian Groups, | problem-solving |
| 6 | cosets | problem-solving |
| 7 | Normal Subgroups, Quotient Groups | problem-solving |
| 8 | mid-term exam | |
| 9 | Homomorphisms | problem-solving |
| 10 | The İzomorphism Theorems | problem-solving |
| 11 | Group Actions | problem-solving |
| 12 | Sylow Theorems and Applications | problem-solving |
| 13 | Sylow Theorems and Applications | problem-solving |
| 14 | Free Serbest Abelian Grups. | problem-solving |
| 15 | Free Serbest Abelian Grups. | problem-solving |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | 1. 1. A First Course in Abstract Algebra , John B. Fraleigh, Addision-Wesley Publishing Company. 1994 | |
| 2 | 2. Algebra, Thomas W. Hungerford, Holtü, Rinehart and Winston, inc. New York Chicago San Francisco, 1974, | |
| 3 | 3. Abstract Algebra David S. Dummit, Richard M. Foote, John Wiley & Sons, inc. 2004. | |
| 4 | 4. Soyur Cebir, Taşcı D., Ankara 2010. | |
| Required Course instruments and materials | ||
| Books of abstract algebra | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 2 | 40 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | |||
| 8.Term Paper | |||
| 9.Project | |||
| final exam | 16 | 2 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 4 | 14 | 56 |
| Outside Class | |||
| a) Reading | 2 | 14 | 28 |
| b) Search in internet/Library | 3 | 14 | 42 |
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 0 | ||
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 4 | 7 | 28 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 4 | 7 | 28 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 186 | ||