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Integration Theory

  • Number of credits 7.5 credits
  • Level Master’s level
  • Starting Spring Term 2023

About the course

The course covers notions and theorems in measure- and integration theory. The non-negative measures are defined on general sigma algebras. The notion measurability is central in the course. Measurable functions with respect to a given sigma algebra, are studied. Radon-Nikodym's theorem, Fubini's theorem and the convergence theorems are central in the course.

Application and eligibility

Integration Theory, 7.5 credits

Det finns inga tidigare terminer för kursen Spring Term 2023 Det finns inga senare terminer för kursen

Starts

16 January 2023

Ends

21 March 2023

Study location

Umeå

Language

English

Type of studies

Daytime, 50%

Required Knowledge

The course requires 90 ECTS including 22,5 ECTS in Calculus of which 7,5 ECTS in Multivariable Calculus and Differential Equations and a course in Real Analysis or equivalent. Proficiency in English equivalent to Swedish upper secondary course English 5/A. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies. Entry requirements

Selection

Guaranteed place Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.

Application code

UMU-58112

Application

The online application opens 15 September 2022 at 13:00 CET. Application deadline is 17 October 2022. How to apply

Application and tuition fees

As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.

Application fee

SEK 900

Tuition fee, first instalment

SEK 17,850

Total fee

SEK 17,850

Contact us

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Course is given by
Dept of Mathematics and Mathematical Statistics
Contactperson for the course is:
Study counselor Lars-Daniel Öhman