Information Package / Course Catalogue
| Course Code | : MTK627 |
| Course Type | : Area Elective |
| Couse Group | : Third Cycle (Doctorate Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 8 |
Manifoldlar, vektör demetleri, Riemann metrikleri, Riemann geometrisinin model uzayları, koneksiyonlar, vektör alanları, Riemann geodezikleri, model uzayların geodezikleri, Riemann manifoldları üzerinde uzunluklar ve uzaklıklar, eğrilik, sabit eğrilikli manifoldlar, alt manifoldlar
Manifolds, vector bundles, Riemannian metrics, model spaces of Riemannian geometry, connections, geodesics of model spaces, lengths and distances on Riemannian manifolds, curvatures, manifolds of constant curvatures, submanifolds
| 1. | Defining the concept of a Riemannian manifold |
| 2. | Expressing the Riemannian geometry and model spaces |
| 3. | Expressing the metrics and geodesics of model spaces |
| 4. | Defining the concept of connection |
| 5. | Expressing the manifolds of constant curvatures |
| 6. | Expressing the concept of submanifold |
| 1. | Riemannian Manifolds,Lee J.M., Sringer,1997. |
| 2. | Riemannian Geometry, Gallot S., Hulin D., Lafontaine J.,Sringer,1997. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Quiz | 1 | %10 |
| Midterm Examination | 1 | %15 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 1 | 3 | 56 |
| Assignment | 1 | 0 | 12 | 12 |
| Individual Work | 14 | 0 | 4 | 56 |
| Quiz | 1 | 13 | 2 | 15 |
| Midterm Examination | 1 | 25 | 2 | 27 |
| Final Examination | 1 | 32 | 2 | 34 |
| TOTAL WORKLOAD (hours) | 200 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | |
OÇ-1 | 1 | 3 | 3 | 1 | 1 | ||||||||||
OÇ-2 | 1 | 3 | 3 | 1 | 1 | ||||||||||
OÇ-3 | 1 | 3 | 3 | 1 | 1 | ||||||||||
OÇ-4 | 1 | 3 | 3 | 1 | 1 | ||||||||||
OÇ-5 | 1 | 3 | 3 | 1 | 1 | ||||||||||
OÇ-6 | 1 | 3 | 3 | 1 | 1 | ||||||||||