Master's Programme in Mathematics and Statistics is responsible for the course.
Belongs to the Mathematics and Applied mathematics module.
The course is available to students from other degree programmes.
Measure and integral
The course gives the basic knowlegde on real analysis that is of fundamental importance on analysis.
Recommended time/stage of studies for completion: 1. year
Term/teaching period when the course will be offered: varying
Basics on real analysis, like L^p spaces, convolution, covering theorems, Lebesgue's differentiation theorem, BV- and absolutely continuous functions.
Required: Reaalianalyysi I, luentomoniste.
Recommended: R. Gariepy, W. Ziemer: Modern real analysis. F. Jones: Lebesgue integration on Euclidean space.
Lectures and exercise classes.
Exam and excercises, Course will be graded with grades 1-5.
Exam, other methods will be described later.