
| Course Code | : MTK631 |
| 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 goal is this course to provide a working knowledge of Riemanniann manifolds, tensors and differential forms.
Submanifold and Immersions, Tangent Bundles, Vector Fields and Differantial Operator, Lie Derivative, Killing Vector Fields, Mertirc Derivative.
| 1. | Ability to learn submanifolds and immersions |
| 2. | Ability to learn operations on vector fields |
| 3. | Ability to learn Lie derivative |
| 4. | Ability to learn killing vector fields |
| 5. | Ability to learn metric derivative |
| 1. | Differential and Riemannian Manifolds, Lang S., Springer-Verlag 1995 |
| 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 | 3 | 3 | 2 | |||||||||
OÇ-2 | 3 | 3 | 3 | 2 | 3 | 2 | |||||||||
OÇ-3 | 3 | 3 | 3 | 3 | 2 | ||||||||||
OÇ-4 | 3 | 3 | 3 | 3 | 2 | ||||||||||
OÇ-5 | 4 | 5 | 3 | 3 | 4 | 3 | 3 | 3 | 2 | ||||||