|Name||Cr||Method of study||Time||Location||Organiser|
|Real analysis II||10 Cr||General Examination||11.12.2019 - 11.12.2019|
|Real analysis II||10 Cr||Lecture Course||2.9.2019 - 12.12.2019|
|Real analysis II||5 Cr||General Examination||8.8.2018 - 8.8.2018|
|Real analysis II||5 Cr||General Examination||13.6.2018 - 13.6.2018|
|Real analysis II||5 Cr||General Examination||23.5.2018 - 23.5.2018|
|Real analysis II||10 Cr||Lecture Course||15.1.2018 - 30.4.2018|
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, Real analysis I
Advanced knowledge on real analysis, incl. fractals.
Recommended time/stage of studies for completion: 1. or 2. year
Term/teaching period when the course will be offered: varying
Hausdorff measure and dimension, self similar fractals, differentiation of Radon measures, Radon-Nikodym derivative, signed measures.
Activities and teaching methods in support of learning
Lectures and exercise classes.
Required: Moderni reaalianalyysi, luentomoniste.
Recommended: Evans-Gariepy: Measure theory and fine properties of functions. K. Falconer: The Geometry of Fractal Sets.
Assessment practices and criteria
Exam and excercises, Course will be graded with grades 1-5.
Recommended optional studies
Exam, other methods will be described later