| 1 | To learn the concepts of sets, functions, sequences, limits, and continuity in analysis. |
| 2 | To learn the concept of sequences in topological spaces. |
| 3 | To learn the concepts of limit, convergence, and limit point of sequences in topological spaces. |
| 4 | To learn the inadequacy of the concept of convergence of sequences in topological spaces for constructing topological structures. |
| 5 | Learning the concept of nets in topological spaces |
| 6 | Learning the concepts of limit, convergence, and closure point of nets in topological spaces |
| 7 | Learning the inadequacy of the concept of convergence of nets in establishing topological structures in topological spaces |
| 8 | Learning the concept of filters in topological spaces |
| 9 | learning the concepts of limit, convergence, and limit point of filters in topological spaces |
| 10 | learning to construct topological structures using the concept of filters in topological spaces |
| 11 | learning to compare the concepts of continuity and sequential continuity |
| 12 | learning the sustainable properties of definitions and concepts in topological analysis |