Integration Theory
Course, Master's level, 1MA215
Expand the information below to show details on how to apply and entry requirements.
Autumn 2026 Autumn 2026, Uppsala, 33%, On-campus, English Only available as part of a programme
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 31 August 2026–17 January 2027
- Language of instruction
- English
- Entry requirements
-
120 credits including 90 credits in mathematics. Participation in Real Analysis. Proficiency in English equivalent to the Swedish upper secondary course English 6.
- Application deadline
- 15 April 2026
- Application code
- UU-10048
Admitted or on the waiting list?
- Registration period
- 17 August 2026–13 September 2026
- Information on registration from the department
Autumn 2026 Autumn 2026, Uppsala, 33%, On-campus, English For exchange students
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 31 August 2026–17 January 2027
- Language of instruction
- English
- Entry requirements
-
120 credits including 90 credits in mathematics. Participation in Real Analysis. Proficiency in English equivalent to the Swedish upper secondary course English 6.
Admitted or on the waiting list?
- Registration period
- 17 August 2026–13 September 2026
- Information on registration from the department
About the course
The course deals with measure and integration theory and gives the mathematical fundament of probability theory. The following topics are covered: Measures on sigma rings, extensions of measures, construction of the integral, convergence theorems for integrals, product measures, Borel measures, derivation of measures (Lebesgue decomposition, the Radon-Nikodym theorem), Fourier series, Lp spaces.