Information Package / Course Catalogue
| Course Code | : MAT440 |
| Course Type | : Area Elective |
| Couse Group | : First Cycle (Bachelor's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 6 |
The purpose of this course is to introduce differential operators using basic information about semi-Riemannian geometry.
Semi-Riemannian manifolds, Levi-Civita connection, metric contraction operators, differential operators and semi-Riemannian submanifolds
| 1. | Ability to learn the concept of semi-Riemannian manifolds and metric tensor |
| 2. | Ability to get an information about curvature tensor and metric contraction operators |
| 3. | Ability to learn differential operators |
| 4. | Ability to have knowledge about semi- Riemannian manifolds |
| 5. | Ability to learn about fundamental equations about semi-Riemannian submanifolds |
| 1. | Semi-Riemann Geometry, Barrett O’Neill |
| 2. | Diferensiyel Geometri, Arif Sabuncuoğlu |
| 3. | Elemantary Differential Geometry, Barrett O'Neill |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Term Assignment | 1 | %5 |
| Midterm Examination | 1 | %30 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 3 | 42 |
| Assignment | 1 | 0 | 5 | 5 |
| Term Project | 1 | 0 | 10 | 10 |
| Individual Work | 14 | 0 | 3 | 42 |
| Midterm Examination | 1 | 20 | 2 | 22 |
| Final Examination | 1 | 27 | 2 | 29 |
| TOTAL WORKLOAD (hours) | 150 | |||
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 | PÇ-16 | PÇ-17 | PÇ-18 | |
OÇ-1 | 3 | 3 | 4 | 2 | ||||||||||||||
OÇ-2 | 3 | 3 | 3 | 2 | ||||||||||||||
OÇ-3 | 3 | 3 | 5 | 2 | ||||||||||||||
OÇ-4 | 3 | 3 | 3 | 2 | ||||||||||||||
OÇ-5 | 3 | 3 | 3 | 2 | ||||||||||||||