Real numbers, metric, norm, inner product, open and closed sets, continuous mappings, sequences and limits, compactness, completeness, connectedness.
Form of learning:
Aalto University Open University
5 By Aalto University (ECTS)
After passing the course the student knows
- methods of rigorous reasoning in mathematical analysis
- basic topology of inner product spaces, normed spaces, and metric spaces
- the notions of limit and continuity
- the definitions and fundamental properties of compactness, completeness, and connectedness in metric spaces.