| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT30420121310 | DIFFERENTIAL GEOMETRY- II | Compulsory | 3 | 6 | 6 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| To teach and adopt students the theory and applications of geometry. |
| Name of Lecturer(s) |
| Yrd. Doç. Dr. Süleyman ŞENYURT |
| Learning Outcomes |
| 1 | Students who successfully complete this course will understand the geometry of theory and practice. |
|
| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Theory of surfaces. Routing. Figure operator. Gauss transformation. Special curves on the surface. Basic forms. Gauss's equation. Gaussian curvature. Mean curvature. Principal curvature. Normal curvature. Geodesic torsion. Theory of strips. Curvature of the line, the asymptotic curve, geodesic curve. Links on the surfaces of revolution. Differential geometry of ray surfaces. Parallel surfaces. Minimal surfaces. Hypersurfaces. Differentiable transformations of surfaces, isometries. |
| Weekly Detailed Course Contents |
|
| 1 | Theory of surfaces
| | | | 2 | Routing. Figure operator
| | | | 3 | Gauss transformation
| | | | 4 | Special curves on the surface
| | | | 5 | Basic forms
| | | | 6 | Gauss's equation. Gaussian curvature
| | | | 7 | Mean curvature. Principal curvature. Normal curvature
| | | | 8 | Midterm exam
| | | | 9 | Geodesic torsion. Theory of strips
| | | | 10 | Curvature of the line, the asymptotic curve, geodesic curve
| | | | 11 | Links on the surfaces of revolution
| | | | 12 | Differential geometry of ray surfaces
| | | | 13 | Parallel surfaces. Minimal surfaces
| | | | 14 | Hypersurfaces
| | | | 15 | Differentiable transformations of surfaces, Isometries
| | | | 16 | Final exam
| | |
|
| Recommended or Required Reading |
| H. Hilmi Hacısalihoğlu, Diferensiyel Geometri, İnönü Üniversitesi,1983.
Barret O’Neill, Elementary Differential Geometry, Academıc Pres Inc. 1966
Arif Sabuncuoğlu, Diferensiyel Geometri, Nobel yayınları, 2001.
|
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| SUM | 0 | |
| SUM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Makeup Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 4 | 56 |
| Problem Solving | 10 | 4 | 40 |
| Self Study | 10 | 2 | 20 |
| Individual Study for Mid term Examination | 6 | 5 | 30 |
| Individual Study for Final Examination | 4 | 5 | 20 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
|
|
|
|
Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
|