| 1 | to teach the concepts of convergence of sequences and continuity of functions in metric spaces |
| 2 | to teach the concepts of convergence and continuity in normed spaces |
| 3 | to teach the concept of complete metric spaces |
| 4 | to teach the concept of compact metric spaces |
| 5 | to teach the concept of connectedness in metric spaces |
| 6 | to teach the concept of path connected metric spaces |
| 7 | to teach the concept of topological spaces |
| 8 | to teach the concept interior of a set in topological spaces |
| 9 | to teach the concept exterior of a set in topological spaces |
| 10 | to teach the concept boundary of a set in topological spaces |
| 11 | to teach the concept accumulation points of a set in topological spaces |
| 12 | to teach the concepts of continuity in topological spaces |
| 13 | to teach the concepts of convergence in topological spaces |
| 14 | To teach the sustainable properties of these definitions and concepts given in metrics and topology. |