Kaisa_2012_3_photo by Veikko Somerpuro

12.8.2019 at 09:00 - 16.10.2019 at 23:59


Here is the course’s teaching schedule. Check the description for possible other schedules.

Wed 4.9.2019
10:15 - 12:00
Wed 11.9.2019
10:15 - 12:00
Wed 18.9.2019
10:15 - 12:00
Wed 25.9.2019
10:15 - 12:00
Wed 2.10.2019
10:15 - 12:00
Wed 9.10.2019
10:15 - 12:00
Wed 16.10.2019
10:15 - 12:00

Other teaching

04.09. - 16.10.2019 Wed 10.15-12.00
Henri Martikainen
Teaching language: English


Compulsory course.

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

Barchelor studies

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.