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 | ELEMENTARY MATHEMATICS EDUCATION | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | NERİMAN KARTAL (nerimangok@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | NERİMAN KARTAL, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| To enable pre-service teachers to construct the basic concepts of the algebra course such as binary operation, group, cosets, ring, ideal, field, homomorphism, isomorphism, automorphism and to develop their operational and conceptual skills for these concepts | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Knows the definition of the concept of binary operation and makes applications related to its properties. |
PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process.
PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-2 | Knows the concepts of group and subgroup, normal subgroup, makes related applications and proves theorem |
PO-2 Has the information about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-3 | Knows cyclic group, permutation group, coset concepts, makes related applications and proves theorems. |
PO-1 Has the information of teaching programs, teaching strategies, measurement and assessment methods related to the field. PO-2 Has the information about the nature, source, limit, accuracy, validity and reliability of knowledge. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-4 | Knows the concepts of homomorphism, isomorphism and automorphism defined on groups, makes related applications and proves theorems. |
PO-1 Has the information of teaching programs, teaching strategies, measurement and assessment methods related to the field. PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process. PO-10 Has knowledge about the nature and historical development of mathematics. PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-5 | Knows the definition of ring, subring, ideal concepts, makes applications about them and proves theorems. |
PO-7 Uses mathematical language accurately and effectively in their mathematics courses and in planning learning and teaching process.
PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| LO-6 | Knows the concepts of homomorphism, isomorphism and automorphism defined on rings, makes related applications and proves theorems. |
PO-12 Generates modelling and solutions relating problems in mathematics and other disciplines. |
Examination |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| This course covers Binary operations, group definition and basic properties, sub-homomorphisms, cosets, rings, subrings and ideals, and fields. | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Binary operations | Narration Method |
| 2 | group definition and key features | Narration Method |
| 3 | subgroups, | Narration Method |
| 4 | permutation groups, cyclic groups, regular symmetry group of n-gene | Narration Method |
| 5 | cyclic permutations, odd and even permutations, | Narration Method |
| 6 | homomorphisms | Narration Method |
| 7 | cosets and Lagrange's theorem, | Narration Method |
| 8 | mid-term exam | |
| 9 | isomorphism theorems, | Narration Method |
| 10 | rings, subrings and ideals | Narration Method |
| 11 | rings, subrings and ideals | |
| 12 | ring homomorphisms | Narration Method |
| 13 | prime and maximal ideals | Narration Method |
| 14 | objects | Narration Method |
| 15 | objects | Narration Method |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Cangül, İ. N. (2010) Soyut Cebir. dora yayıncılık | |
| Required Course instruments and materials | ||
| textbook and notebook | ||
| Assessment Methods | |||
| Type of Assessment | Week | Hours | Weight(%) |
| mid-term exam | 7 | 1 | 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 | 14 | 1 | 60 |
| Student Work Load | |||
| Type of Work | Weekly Hours | Number of Weeks | Work Load |
| Weekly Course Hours (Theoretical+Practice) | 2 | 14 | 28 |
| Outside Class | |||
| a) Reading | 1 | 14 | 14 |
| b) Search in internet/Library | 1 | 14 | 14 |
| 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 | 2 | 4 | 8 |
| mid-term exam | 1 | 1 | 1 |
| Own study for final exam | 1 | 4 | 4 |
| final exam | 1 | 1 | 1 |
| 0 | |||
| 0 | |||
| Total work load; | 70 | ||