MATS311 Real Analysis (9 cr)

Open the course unit brochure on Sisu
Study level:
Advanced studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2017-2018, 2018-2019, 2019-2020

Description

Content

The course in concerned with measure theory in Euclidean spaces. Main topics are Hausdorff measures and dimension, differentiation of measures, absolute continuity, covering and density theorems, and maximal function.

Learning outcomes

.

Description of prerequisites

Measure and Integration Theory 1 and 2

Study materials

Ilkka Holopainen: Moderni Reaalianalyysi (löytyy verkosta).

Literature

  • Andrew M. Bruckner, Judith B. Bruckner ja Brian S. Thomson: Real analysis, 2008; www.classicalrealanalysis.com
  • Olli Lehto: Reaalifunktioiden teoria, Limes ry, 1969.
  • Pertti Mattila: Geometry of sets and measures in Euclidian spaces

Completion methods

Method 1

Select all marked parts

Method 2

Select all marked parts
Parts of the completion methods
x

Teaching (9 cr)

Type:
Participation in teaching
Grading scale:
0-5
Language:
English, Finnish

Teaching

x

Exam (9 cr)

Type:
Exam
Grading scale:
0-5
Language:
English, Finnish

Teaching