Metric spaces
Real numbers, metric, norm, inner product, open and closed sets, continuous mappings, sequences and limits, compactness, completeness, connectedness.
Ajankohta:
–
Opetusajankohdat:
Päivällä
Paikka:
Espoo
Aihealue:
Matematiikka
Opintojen muoto:
Lähiopetus
Palveluntarjoaja:
Aalto-yliopiston avoin yliopisto
Taso:
Keskitaso
Opintopisteet:
5 Aalto-yliopiston opintopisteet (ECTS)
Hinta:
75,00 €
Kurssin kuvaus
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.
