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.
Application deadline was
15 October 2020.
Please note: This second application round is intended only for EU/EEA/Swiss citizens.