| ÖÇ1 | Learns the concepts of topological manifold, differentiable manifold, and differentiable transformations. |
| ÖÇ2 | Knows the concepts of Riemannian manifold, Riemannian connection, and L-C connection. |
| ÖÇ3 | Learns L-C connection, Riemannian curvature, sectional curvature, and Ricci curvature. |
| ÖÇ4 | Learns the concept of connections in general. |