Information Package / Course Catalogue
| Course Code | : MTK633 |
| 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 |
The main purpose of this course to provide a working knowledge of Semi-Riemannian Geometry.
Symmetric bilinear forms and scalar products, The Levi-Civita connections, Geodesics and exponential maps, curvature, type-changing and metric contraction, differential operators, Ricci and scalar curvature, semi-Riemannian submanifolds.
| 1. | To be able to learn symmetric bilinear form and scalar products |
| 2. | To be able to learn the Levi-Civita connection |
| 3. | To be able to learn type-changing and metric contraction operators |
| 4. | To be able to learn differential operators |
| 5. | To be able to have knowledge about semi-Riemann submanifolds |
| 1. | Semi-Riemannian Geometry with Application to Relativity, O’Neill,B., Academic Press.Inc.New York 1983 |
| 2. | Semi-Riemannian Geometry: The Mathematical Language of General Relativity, Stephen C. Newman |
| 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 | 3 | 3 | 3 | 2 | 2 | 2 | |||||||||
OÇ-2 | 2 | 2 | 3 | 2 | 2 | 2 | |||||||||
OÇ-3 | 2 | 2 | 3 | 3 | 2 | 3 | |||||||||
OÇ-4 | 2 | 3 | 2 | 2 | 2 | ||||||||||
OÇ-5 | 2 | 2 | 3 | 2 | 2 | 3 | |||||||||