| ÖÇ1 | learns the concepts of convergence of sequences and continuity of functions in metric spaces. |
| ÖÇ2 | learns the concepts of convergence and continuity in normed spaces. |
| ÖÇ3 | learns the concept of complete metric spaces. |
| ÖÇ4 | learns the concept of compact metric spaces |
| ÖÇ5 | learns the concept of connectedness in metric spaces |
| ÖÇ6 | learns the concept of continuity in connected metric spaces |
| ÖÇ7 | learns the concept of path-connected metric spaces |
| ÖÇ8 | learns the concepts of topological spaces, the interior, exterior, boundary, and accumulation points of a set in topological spaces |
| ÖÇ9 | learns the concepts of continuity and convergence in topological spaces |
| ÖÇ10 | learns the concepts of basis, local basis, and neighborhoods in topological spaces |
| ÖÇ11 | enhances knowledge and skills, develops the ability to explain and interpret what has been learned |
| ÖÇ12 | learns the sustainable properties of these definitions and concepts given in metric and topology |