Integration Theory

10 credits

Course, Master's level, 1MA215

Expand the information below to show details on how to apply and entry requirements.

Location
Uppsala
Pace of study
33%
Teaching form
On-campus
Instructional time
Daytime
Study period
2 September 2024–19 January 2025
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 2024
Application code
UU-10048

Admitted or on the waiting list?

Registration period
19 August 2024–15 September 2024
Information on registration from the department

Location
Uppsala
Pace of study
33%
Teaching form
On-campus
Instructional time
Daytime
Study period
2 September 2024–19 January 2025
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
19 August 2024–15 September 2024
Information on registration from the department

Expand the information below to show details on how to apply and entry requirements.

Location
Uppsala
Pace of study
33%
Teaching form
On-campus
Instructional time
Daytime
Study period
1 September 2025–18 January 2026
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 2025
Application code
UU-10048

Admitted or on the waiting list?

Registration period
18 August 2025–14 September 2025
Information on registration from the department

Location
Uppsala
Pace of study
33%
Teaching form
On-campus
Instructional time
Daytime
Study period
1 September 2025–18 January 2026
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
18 August 2025–14 September 2025
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.

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