Metric spaces
Real numbers, metric, norm, inner product, open and closed sets, continuous mappings, sequences and limits, compactness, completeness, connectedness.
Schedule:
–
Teaching time:
Daytime
Location:
Espoo
Topic:
Mathematics
Form of learning:
On-campus
Provider:
Aalto University Open University
Level:
Intermediate
Credits:
5 By Aalto University (ECTS)
Fee:
€ 75.00
Course description
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.
