| 1 | Knowing and applying metric spaces |
| 2 | Knowing and applying learning neigborhood , open and closed set |
| 3 | Knowing and applying learning convergences and sequences and cauchy sequences. |
| 4 | Knowing and applying learning completion of the metric spaces. |
| 5 | Knowing and applying learning linear spaces. |
| 6 | To learn normed spaces and Banach spaces, and to develop sustainable solutions |
| 7 | Knowing and applying learning linear operators |
| 8 | Knowing and applying learning bounded and contunious operators |
| 9 | Knowing and applying learning normed operator spaces. |
| 10 | Learning duals of sequence spaces. |