
| Course Code | : MAT437 |
| 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 fundamental knowledges that are needed during students undergraduate and graduate education on differential geometry are taught
Topological and differentiable manifold,differentiable maps between manifolds,tangent space of manifold,Riemannian manifold,Levi-civita connection,Submanifolds,Gauss and Weingarten map,second fundamental form
| 1. | To define topological manifold |
| 2. | To define differentiable manifold |
| 3. | Ability to write differentiable fnctions between manifolds |
| 4. | To define tangent space |
| 5. | To define Riemannian metric and Riemannian manifold |
| 6. | To define conection on manifold |
| 7. | To define submanifold |
| 8. | To write the equations Gauss and Weingarten map |
| 9. | To learn first and second fundamental form on the manifold |
| 1. | Diferansiyel geometri (Differantial Geometry ), Prof. Dr. Arif Sabuncuoğlu |
| 2. | Barret O’Neill , Elementary Differantial Geometry |
| Type of Assessment | Count | Percent |
|---|---|---|
| Attending Lectures | 1 | %5 |
| Assignment | 1 | %5 |
| Midterm Examination | 1 | %40 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 1 | 2 | 42 |
| Lecture - Practice | 14 | 1 | 2 | 42 |
| Assignment | 1 | 0 | 5 | 5 |
| Individual Work | 14 | 0 | 2 | 28 |
| Midterm Examination | 1 | 12 | 2 | 14 |
| Final Examination | 1 | 17 | 2 | 19 |
| 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 | 5 | 5 | 5 | 5 | 5 | 5 | ||||||||||||
OÇ-2 | 5 | 5 | 5 | 5 | 5 | 5 | ||||||||||||
OÇ-3 | 5 | 5 | 5 | 5 | 5 | 5 | ||||||||||||
OÇ-4 | 5 | 5 | 5 | 5 | 5 | 5 | ||||||||||||
OÇ-5 | 5 | 5 | 5 | 5 | 5 | 5 | ||||||||||||
OÇ-6 | 5 | 5 | 5 | 5 | 5 | 5 | ||||||||||||
OÇ-7 | 5 | 5 | 5 | 5 | 5 | 5 | ||||||||||||
OÇ-8 | 5 | 5 | 5 | 5 | 5 | 5 | ||||||||||||
OÇ-9 | 5 | 5 | 5 | 5 | 5 | 5 | ||||||||||||