Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 3 / Spring 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 | Gets the ability to understand and solve the classes of geometries, transformations, problems with 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 | ||
| Fundamental affine transformation, Affine properties, Affine equivalence, Considering solid motions as affine geometry, Projection theory, Central projection, Parallel projection, Projective transformations, Projective group, Projective properties, Division ratio, Double ratio, Interdisciplinary applications of solid movements, Interdisciplinary applications of projective transformations | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Fundamental affine transformation | Speech, Problem Solving |
| 2 | Affine properties | Speech, Problem Solving |
| 3 | Affine equivalence | Speech, Problem Solving |
| 4 | Considering solid motions as affine geometry | Speech, Problem Solving |
| 5 | Projection theory | Speech, Problem Solving |
| 6 | Central projection | Speech, Problem Solving |
| 7 | Parallel projection | Speech, Problem Solving |
| 8 | mid-term exam | |
| 9 | Projective transformations | Speech, Problem Solving |
| 10 | Projective group | Speech, Problem Solving |
| 11 | Projective properties | Speech, Problem Solving |
| 12 | Division ratio | Speech, Problem Solving |
| 13 | Double ratio | Speech, Problem Solving |
| 14 | Interdisciplinary applications of solid movements | Speech, Problem Solving |
| 15 | Interdisciplinary applications of projective transformations | 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 | 0 | ||
| 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; | 182 | ||