Nevşehir Hacı Bektaş Veli University Course Catalogue
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| Year/Semester of Study | 4 / 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 classic geometry and modern 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 | Know the various metric structure. |
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 | ||
| Euclid Space, Inner product and norm, Euclid frame, Different frames in Euclid space, Point positioning, Drawing lines, Drawing triangles, Drawing conics 1, Drawing conics 2, Drawing curves and triangles on sphere, Projective transformations in plane, Projective transformations in space, Topological transformations, Using projective and topologic transformation in nature | ||
| Weekly Course Content | ||
| Week | Subject | Learning Activities and Teaching Methods |
| 1 | Euclid Space | Speech, Problem Solving |
| 2 | Inner product and norm | Speech, Problem Solving |
| 3 | Euclid frame | Speech, Problem Solving |
| 4 | Different frames in Euclid space | Speech, Problem Solving |
| 5 | Point positioning | Speech, Problem Solving |
| 6 | Drawing lines | Speech, Problem Solving |
| 7 | Drawing triangles | Speech, Problem Solving |
| 8 | mid-term exam | |
| 9 | Drawing conics 1 | Speech, Problem Solving |
| 10 | Drawing conics 2 | Speech, Problem Solving |
| 11 | Drawing curves and triangles on sphere | Speech, Problem Solving |
| 12 | Projective transformations in plane | Speech, Problem Solving |
| 13 | Projective transformations in space | Speech, Problem Solving |
| 14 | Topological transformations | Speech, Problem Solving |
| 15 | Using projective and topologic transformation in nature | Speech, Problem Solving |
| 16 | final exam | |
| Recommend Course Book / Supplementary Book/Reading | ||
| 1 | Sabuncuoğlu, Arif. Diferensiyel Geometri, Nobel Yayınları, Ankara, 2001. | |
| 2 | Gray, A. Modern Differential Geometry, CRC Press LLC, 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 | ||