Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 1 / Fall Semester | ||||
| Level of Course | 2nd Cycle Degree Programme | ||||
| Type of Course | Optional | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | HATİCE TOPCU (hatice.kamit@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | HATİCE TOPCU, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| The purpose of this lesson is to comprehensive subjects which are given to students. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Know isomorphism theorems and proofs. |
PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems. PO-2 Ability to assimilate mathematic related concepts and associate these concepts with each other. |
Examination |
| LO-2 | Define transformations , know subgroup conditions and check. |
PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems. PO-2 Ability to assimilate mathematic related concepts and associate these concepts with each other. |
Examination Presentation |
| LO-3 | Know how to define direct sums in which conditions,know abelian group,p-group,p-subgroup properties.. |
PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems. PO-2 Ability to assimilate mathematic related concepts and associate these concepts with each other. |
Examination Presentation |
| LO-4 | Know supersolvable group,free group and free product definitions and comment over these. |
PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems. PO-2 Ability to assimilate mathematic related concepts and associate these concepts with each other. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Isomorphism Theorems, Transformations and Subgroups, Direct Sums, Abelian Groups, p-groups and p-subgroups, Supersolvable Groups, Free Groups and Free Products | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Isomorphism Theorems | mutual discussion |
| 2 | Isomorphism Theorems | mutual discussion |
| 3 | Transformations and Subgroups | mutual discussion |
| 4 | Transformations and Subgroups | mutual discussion |
| 5 | Direct Sums | mutual discussion |
| 6 | Direct Sums | mutual discussion |
| 7 | Abelian Groups | mutual discussion |
| 8 | mid-term exam | |
| 9 | Abelian Groups | mutual discussion |
| 10 | p-groups and p-subgroups | mutual discussion |
| 11 | p-groups and p-subgroups | mutual discussion |
| 12 | Supersolvable Groups | mutual discussion |
| 13 | Supersolvable Groups | mutual discussion |
| 14 | Free Groups and Free Products | mutual discussion |
| 15 | Free Groups and Free Products | mutual discussion |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Scott W.R. Group Theory, Prentice-Hall Inc. New Jersey,1964 | |
| 2 | Thomas W. Hungerford, Algebra, University of Washington, 1982 | |
| 3 | John B. Fraleight, A First Course in Abstract Algebra, University of Rhode Island, 1982 | |
| Required Course instruments and materials | ||
| Books of group theory | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 8 | 2 | 30 |
| Other assessment methods | |||
| 1.Oral Examination | |||
| 2.Quiz | |||
| 3.Laboratory exam | |||
| 4.Presentation | |||
| 5.Report | |||
| 6.Workshop | |||
| 7.Performance Project | 7 | 2 | 10 |
| 8.Term Paper | 8 | 2 | 10 |
| 9.Project | |||
| final exam | 16 | 2 | 50 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 3 | 14 | 42 |
| Outside Class | |||
| a) Reading | 2 | 14 | 28 |
| b) Search in internet/Library | 2 | 14 | 28 |
| c) Performance Project | 3 | 7 | 21 |
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 3 | 7 | 21 |
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 3 | 8 | 24 |
| mid-term exam | 2 | 1 | 2 |
| Own study for final exam | 3 | 8 | 24 |
| final exam | 2 | 1 | 2 |
| 0 | |||
| 0 | |||
| Total work load; | 192 | ||