| Code |
Course Name |
Language |
Type |
| MAT 342E |
Differential Geometry |
English |
Compulsory |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
6.5 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
MAT 232 MIN DD
or MAT 232E MIN DD
or MAT 201 MIN DD
or MAT 201E MIN DD
or MAT 210 MIN DD
or MAT 210E MIN DD
or BIO 210E MIN DD
or BLG 210E MIN DD
or CEV 210 MIN DD
or CEV 210E MIN DD
or DEN 210E MIN DD
or EEE 210E MIN DD
or EEF 210 MIN DD
or EEF 210E MIN DD
or FIZ 210 MIN DD
or GEM 210E MIN DD
or GEO 220 MIN DD
or GEO 220E MIN DD
or INS 210 MIN DD
or INS 210E MIN DD
or KIM 271 MIN DD
or MAK 210E MIN DD
|
| Class Restriction |
None |
| Course Description |
| Differential geometry of curves; osculating plane, curvature and torsion, Frenet’s trihedral, Frenet’s formulas, osculating sphere.
Helices, involutes and evolutes, Bertrand’s curves. Natural equations, the fundamental theorem of the theory of curves.
Differential geometry of surfaces; first and second fundamental forms of a surface, normal curvature, the lines of curvature,
asymptotic curves, Dupin indicatrix, Meunier’s theorem, mean curvature, Gaussian curvature. Gauss’s Theorema Egregium |
|
