| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT530 | ADVANCED GEOMETRY II | Elective | 1 | 1 | 6 |
|
| Level of Course Unit |
| Second Cycle |
| Objectives of the Course |
| The aim of this course is to give basic concepts and theorems of ADVANCED GEOMETRY II. |
| Name of Lecturer(s) |
| Doç.Dr.Murat BABAARSLAN |
| Learning Outcomes |
| 1 | Know the theory of Curves | | 2 | Find Serret-Frenet vectors | | 3 | Give examples about special curves | | 4 | Knows the spherical indicatrices of a curve | | 5 | Knows the concept of Bertrand curve |
|
| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| The theory of curves, Serret-Frenet vectors, hyperplanes osculator of a curve, special curves, characterization of helices, the global indicatrices of a curve, pole curves, a pair of Bertrand curve. |
| Weekly Detailed Course Contents |
|
| 1 | The theory of curves | | | | 2 | The theory of curves | | | | 3 | Serret-Frenet vectors | | | | 4 | Serret-Frenet vectors | | | | 5 | Hyperplanes osculator of a curve | | | | 6 | Hyperplanes osculator of a curve | | | | 7 | Special curves | | | | 8 | Mid-Term Exam | | | | 9 | Special curves | | | | 10 | Characterization of helices | | | | 11 | Characterization of helices | | | | 12 | The global indicatrices of a curve | | | | 13 | The global indicatrices of a curve | | | | 14 | A pole curve | | | | 15 | A pair of Bertrand curve | | | | 16 | Final Exam | | |
|
| Recommended or Required Reading |
| Prof. Dr. H. H. Hacısalihoğlu, Diferensiyel Geometri, İnönü Üniversitesi Fen Ed. Fak. Yayınları Mat. No 2 1983.
B. O'Neill, Semi Riemannian Geometry-With Applications to Relativity, New York, Academic Press Inc. (1983).
M. Berger and B. Gostiaux, Differential geometry: Manifolds, Curves and Surfaces, Springer-Verlag New York 1987.
M. Do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall (1976).
Yüksek Boyutlu Uzaylarda Dönüşümler ve Geometriler, Prof. Dr. H. Hilmi Hacısalihoğlu, İnönü Üniv., 1980. |
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 80 | 80 |
| Final Examination | 1 | 70 | 70 |
| Makeup Examination | 1 | 40 | 40 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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| Yozgat Bozok University, Yozgat / TURKEY • Tel (pbx): +90 354 217 86 01 • e-mail: uo@bozok.edu.tr |