| ÖÇ1 | Learns about types of curves and Frenet vectors. |
| ÖÇ2 | Understands curvature, torsion, and their geometric meanings. |
| ÖÇ3 | Learns about the theory of surfaces and hypersurfaces, the shape operator, and the algebraic invariants of the shape operator. |
| ÖÇ4 | Learns the Gauss transformation and the Weingarten transformation, as well as hypersurface varieties and the differentiable transformations and properties between them. |