Information Package / Course Catalogue
| Course Code | : MAT417 |
| Course Type | : Area Elective |
| 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.
The concept of surfaces, differentiable functions between surfaces, vector fields on surfaces, shape operator, fundamental forms, Riemann curvature tensor, hypersurfaces
| 1. | To be able to define and analyze tangent spaces, normal vector fields, and differentiable functions on surfaces using local parametrizations of surfaces. |
| 2. | To be able to compute and interpret operations such as directional derivatives, covariant derivatives, and Lie brackets of vector fields defined on surfaces. |
| 3. | To be able to obtain the first and second fundamental forms of a surface using the Gauss map and to compute arc lengths and surface areas. |
| 4. | To be able to compute Gaussian and mean curvatures, analyze the local geometric properties of surfaces, and distinguish lines of curvature, geodesics, and asymptotic curves. |
| 5. | To be able to analyze the intrinsic and extrinsic geometric structures of surfaces using the induced connection and the Gauss equation, and to classify ruled surfaces. |
| 1. | Eğrilerin ve Yüzeylerin Diferensiyel Geometrisi, Prof. Dr. Cumali Ekici |
| 2. | Elementary Differential Geometry, Barret O’Neill |
| 3. | Diferansiyel Geometri (Differantial Geometry), Prof. Dr. Arif Sabuncuoğlu |
| 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 | 2 | 28 |
| Lecture - Practice | 14 | 0 | 2 | 28 |
| Assignment | 1 | 0 | 5 | 5 |
| Term Project | 1 | 0 | 9 | 9 |
| Individual Work | 14 | 0 | 3 | 42 |
| Midterm Examination | 1 | 15 | 2 | 17 |
| Final Examination | 1 | 19 | 2 | 21 |
| 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 | 5 | |||||||||||
OÇ-2 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | |||||||||||
OÇ-3 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | |||||||||||
OÇ-4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | |||||||||||
OÇ-5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | |||||||||||