Lecture notes: Reaalianalyysi I (Ilkka Holopainen).
Lecture notes: Real Analysis I (Ilkka Holopainen).
Background material: Lecture notes on Measure and integral (both in Finnish and in English):
Harjoitus 1, Exercise 1 (13-14.9.2017)
Harjoitus 2, Exercise 2 (20-21.9.2017)
Harjoitus 3, Exercise 3 (27-28.9.2017)
Harjoitus 4, Exercise 4 (4-5.10.2017)
Harjoitus 5, Exercise 5 (11-12.10.2017)
Harjoitus 6, Exercise 6 (18-19.10.2017)
Exam and exercise classes. The exam will consists of 5 problems (evaluated as 6 pts each).
The first possible exam is on 1st of November.
Remember to register for the exam in WebOodi at least 10 days before the exam!
You will get extra credit points by solving the home work assignments:
25% = +1p, 35% = +2p, 45% = +3p, 55% = +4p, 65% = +5p ja 75% = +6p
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.