| 1 | To teach upper half plane model |
| 2 | To teach Group of Möbius Transformations and their properties |
| 3 | To teach concepts of classification of Möbius Transformations, Matrix Representation, Preserving of upper half-plane |
| 4 | To teach Topological groups and Topological transformation groups and their properties |
| 5 | To teach concepts of hyperbolic distance, hyperbolic length and hyperbolic area in upper half-plane |
| 6 | To teach the group PSL(2,R), its discrete subgroups and algebraic properties |