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.
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.
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.
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.