| Code |
Course Name |
Language |
Type |
| MAT 342 |
Differential Geometry |
Turkish |
|
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
|
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
MAT 201 MIN DD
or MAT 201E MIN DD
or MAT 210 MIN DD
or MAT 210E MIN DD
or MAT 232 MIN DD
or MAT 232E 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: Parametrizations of regular curves in R^3 space, curvature, torsion, Frenet trihedral, Frenet-
Serret equations. Spherical curves. Special curve families; helices, involutes and evolutes, Bertrand’s curves. Fundamental
theorems of the theory of curves. Some applications of symbolic computation.
Differential Geometry of Surfaces: Regular surfaces. The tanget plane. First fundamental form of a surface, Local geometry of
Gauss map. Second fundamental form and shape operator. Normal curvature, principal curvatures and principal directions,
Gausssian curvature, mean curvature. The lines of curvature, asymptotic curves, Dupin indicatrix, Meunier’s theorem. Special
surface families. Some applications of symbolic computation. Theorema Egregium of Gauss. |
|
