Instruction
| Name | Cr | Method of study | Time | Location | Organiser |
|---|---|---|---|---|---|
| Real analysis I | 5 Cr | General Examination | 11.12.2019 - 11.12.2019 | ||
| Real analysis I | 5 Cr | Lecture Course | 3.9.2019 - 16.10.2019 | ||
| Real analysis I | 5 Cr | General Examination | 7.8.2019 - 7.8.2019 | ||
| Real analysis I | 5 Cr | General Examination | 12.6.2019 - 12.6.2019 | ||
| Real analysis I | 5 Cr | General Examination | 3.4.2019 - 3.4.2019 | ||
| Real analysis I | 5 Cr | General Examination | 31.10.2018 - 31.10.2018 | ||
| Real analysis I | 5 Cr | Lecture Course | 4.9.2018 - 18.10.2018 | ||
| Real analysis I | 5 Cr | General Examination | 8.8.2018 - 8.8.2018 | ||
| Real analysis I | 5 Cr | General Examination | 13.6.2018 - 13.6.2018 | ||
| Real analysis I | 5 Cr | General Examination | 11.4.2018 - 11.4.2018 | ||
| Real analysis I | 5 Cr | General Examination | 7.2.2018 - 7.2.2018 | ||
| Real analysis I | 5 Cr | General Examination | 13.12.2017 - 13.12.2017 | ||
| Real analysis I | 5 Cr | General Examination | 1.11.2017 - 1.11.2017 | ||
| Real analysis I | 5 Cr | Lecture Course | 6.9.2017 - 19.10.2017 |
Target group
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.
Prerequisites
Measure and integral
Learning outcomes
The course gives the basic knowlegde on real analysis that is of fundamental importance on analysis.
Timing
Recommended time/stage of studies for completion: 1. year
Term/teaching period when the course will be offered: varying
Contents
Basics on real analysis, like L^p spaces, convolution, covering theorems, Lebesgue's differentiation theorem, BV- and absolutely continuous functions.
Activities and teaching methods in support of learning
Lectures and exercise classes.
Study materials
Required: Reaalianalyysi I, luentomoniste.
Recommended: R. Gariepy, W. Ziemer: Modern real analysis. F. Jones: Lebesgue integration on Euclidean space.
Assessment practices and criteria
Exam and excercises, Course will be graded with grades 1-5.
Recommended optional studies
Barchelor studies
Completion methods
Exam, other methods will be described later.