Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 4 / 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 projective geometry 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 Euclid geometry and the other geometries. |
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 | ||
| Definition of Euclid geometry, Definition of non-Euclidean geometries, Affine plane, Affine plane examples, Projective plane, Examples of Projective plane, Relation between affine plane and projective plane, Desargues’ theorem, Monge’s theorem, Pappus’ theorem, Pascal’s theorem, Transformations in projective plane, Projective equivalence of conics, Projective equivalence of quadratics | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Definition of Euclid geometry | Speech, Problem Solving |
| 2 | Definition of non-Euclidean geometries | Speech, Problem Solving |
| 3 | Affine plane | Speech, Problem Solving |
| 4 | Affine plane examples | Speech, Problem Solving |
| 5 | Projective plane | Speech, Problem Solving |
| 6 | Examples of Projective plane | Speech, Problem Solving |
| 7 | Relation between affine plane and projective plane | Speech, Problem Solving |
| 8 | mid-term exam | |
| 9 | Desargues’ theorem | Speech, Problem Solving |
| 10 | Monge’s theorem | Speech, Problem Solving |
| 11 | Pappus’ theorem | Speech, Problem Solving |
| 12 | Pascal’s theorem | Speech, Problem Solving |
| 13 | Transformations in projective plane | Speech, Problem Solving |
| 14 | Projective equivalence of conics | Speech, Problem Solving |
| 15 | Projective equivalence of quadratics | Speech, Problem Solving |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | R. Kaya, Projektif Geometri, ESOGU yayınları, 2005. | |
| 2 | C.R. Wylie, Introduction to Projective Geometry, Courier Corporation, 2008. | |
| 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 | ||