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 | Optional | ||||
| Department | MATHEMATICS | ||||
| Pre-requisities and Co-requisites | None | ||||
| Mode of Delivery | Face to Face | ||||
| Teaching Period | 14 Weeks | ||||
| Name of Lecturer | ESMA DEMİR ÇETİN (esma.demir@nevsehir.edu.tr) | ||||
| Name of Lecturer(s) | ESMA DEMİR ÇETİN, ÇAĞLA RAMİS, | ||||
| Language of Instruction | Turkish | ||||
| Work Placement(s) | None | ||||
| Objectives of the Course | |||||
| Giving basic information about transformations and some geomeries that the student will need during undergraduate and graduate education. And to figure out how to go about solving problems. | |||||
| Learning Outcomes | PO | MME | |
| The students who succeeded in this course: | |||
| LO-1 | Learn the structure of transformation 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. PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods |
Examination Performance Project |
| PO: Programme Outcomes MME:Method of measurement & Evaluation |
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| Course Contents | ||
| Affine space, Euclidean space, Affine and Euclidean frames, Direct and Counter transformations, Translation in plane, Rotation in plane, Reflection in plane, Resultant transformation and geometric interpretation of solid motion, Invariant geometric structures under solid motion, Radial transformation, Direct similarity transformation, Relation between direct similarity and rotation, Counter similarity transformation, Relation between counter similarity and reflection | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Affine space | Speech, Problem Solving |
| 2 | Euclidean space | Speech, Problem Solving |
| 3 | Affine and Euclidean frames | Speech, Problem Solving |
| 4 | Direct and Counter transformations | Speech, Problem Solving |
| 5 | Translation in plane | Speech, Problem Solving |
| 6 | Rotation in plane | Speech, Problem Solving |
| 7 | Reflection in plane | Speech, Problem Solving |
| 8 | mid-term exam | |
| 9 | Resultant transformation and geometric interpretation of solid motion | Speech, Problem Solving |
| 10 | Invariant geometric structures under solid motion | Speech, Problem Solving |
| 11 | Radial transformation | Speech, Problem Solving |
| 12 | Direct similarity transformation | Speech, Problem Solving |
| 13 | Relation between direct similarity and rotation | Speech, Problem Solving |
| 14 | Counter similarity transformation | Speech, Problem Solving |
| 15 | Relation between counter similarity and reflection | Speech, Problem Solving |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Dodge, C., Euclidean Geometry and Transformations, Dover publications, 1972. | |
| 2 | Hacısalihoğlu, H.Hilmi. Dönüşümler ve Geometriler, Ankara Üniversitesi Fen Fakültesi, Matematik Bölümü.,1998. | |
| Required Course instruments and materials | ||
| 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 | 0 | ||
| b) Search in internet/Library | 1 | 14 | 14 |
| c) Performance Project | 0 | ||
| d) Prepare a workshop/Presentation/Report | 0 | ||
| e) Term paper/Project | 1 | 5 | 5 |
| Oral Examination | 0 | ||
| Quiz | 0 | ||
| Laboratory exam | 0 | ||
| Own study for mid-term exam | 3 | 14 | 42 |
| mid-term exam | 1 | 14 | 14 |
| Own study for final exam | 3 | 14 | 42 |
| final exam | 1 | 14 | 14 |
| 0 | |||
| 0 | |||
| Total work load; | 187 | ||