MA00BD22 Integration Theory (5 cr)
Cooperation network course
Network: Cross-institutional studies in advanced courses in mathematics and statistics
This course is offered through the Network for Advanced Studies in Mathematics. These studies are available for the following degree students:
- Bachelor's Degree Programme in Mathematics
- Master's Degree Programme in Mathematics
- Bachelor's Degree Programme in Mathematics (Subject Teacher)
- Master's Degree Programme in Mathematics (Subject Teacher)
- Bachelor's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)
- Master's Degree Programme in Mathematics, Chemistry or Physics Subject Teacher Education and Primary Teacher Education (Specialication in Mathematics)
- Doctoral Programme in Mathematics and Statistics
- Doctoral Programme in Mathematics and Science (Specialication in Mathematics)
Description
Mått och yttre mått samt Lebesguemått i en och flera dimensioner. Mätbara mängder och funktioner samt Lebesgueintegralen och de centrala satserna om monoton och dominerad konvergens, samt Fatous lemma. Lebesguentegralens samband med Riemannintergralen.
Learning outcomes
Lärandemål:
- Efter genomgången kurs bör deltagare kunna använda teorin för Lebesguemått och Lebesgueintegralen.