Metric spaces

Real numbers, metric, norm, inner product, open and closed sets, continuous mappings, sequences and limits, compactness, completeness, connectedness.
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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.

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