
| Course Code | : MAT328 |
| Course Type | : Required |
| Couse Group | : First Cycle (Bachelor's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 2 |
| Prt. | : 2 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 6 |
The fundamental knowledges that are needed during students undergraduate and graduate education on differential geometry are taught.
Euclidean space, topological and differential manifolds, vector fields, directional derivative, covariant derivative, curves , Frenet vector fields.
| Lec. Dilek AÇIKGÖZ KAYA |
| 1. | Defines basics of differential geometry |
| 2. | Compares affine and Euclidean spaces |
| 3. | Defines topological manifolds |
| 4. | Defines differential manifolds |
| 5. | Compares directional derivative with the one defined in the analysis course |
| 6. | Applies the concepts of gradient, divergent and rotational functions(taught in the analysis courses) to general spaces |
| 7. | Defines the curves |
| 8. | Calculates the Frenet frame of a curve |
| 1. | Eğrilerin ve Yüzeylerin Diferensiyel Geometrisi, Prof. Dr. Cumali Ekici |
| 2. | Elementary Differential Geometry, Barret O’Neill |
| 3. | Diferansiyel Geometri(Differential Geometry), Prof Dr. Arif Sabuncuoğlu |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 1 | %40 |
| Final Examination | 1 | %60 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 2 | 28 |
| Lecture - Practice | 14 | 0 | 2 | 28 |
| Reading | 14 | 2 | 1 | 42 |
| Individual Work | 14 | 0 | 2 | 28 |
| Midterm Examination | 1 | 7 | 2 | 9 |
| Final Examination | 1 | 13 | 2 | 15 |
| 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 | 3 | 5 | 5 | 3 | 5 | 5 | |||||||||||
OÇ-2 | 5 | 3 | 5 | 5 | 3 | 5 | 5 | |||||||||||
OÇ-3 | 5 | 3 | 5 | 5 | 3 | 5 | 5 | |||||||||||
OÇ-4 | 5 | 3 | 5 | 5 | 3 | 5 | 5 | |||||||||||
OÇ-5 | 5 | 3 | 5 | 5 | 3 | 5 | 5 | |||||||||||
OÇ-6 | 5 | 3 | 5 | 5 | 3 | 5 | 5 | |||||||||||
OÇ-7 | 5 | 3 | 5 | 5 | 3 | 5 | 5 | |||||||||||
OÇ-8 | 5 | 3 | 5 | 5 | 3 | 5 | 5 | |||||||||||