| ÖÇ1 | Understand and apply the concept of metric space. |
| ÖÇ2 | Learn the concepts of neighborhood, open sets, and closed sets. |
| ÖÇ3 | Learn the concepts of convergence and Cauchy sequences. |
| ÖÇ4 | Learn the completion of metric spaces. |
| ÖÇ5 | Learn linear spaces. |
| ÖÇ6 | Learn about normed spaces and Banach spaces and develop sustainable solutions. |
| ÖÇ7 | Learn about linear operators. |
| ÖÇ8 | Learn and apply bounded and continuous linear operators. |
| ÖÇ9 | Learn about normed operator spaces. |
| ÖÇ10 | Be able to calculate the duals of sequence spaces. |