Coursebooks 2018-2019

PDF
 

Measure and integration

MATH-303

Lecturer(s) :

Nguyên Hoài-Minh

Language:

English

Summary

We introduce the abstract measure spaces and we proces a rigorous treatment of Lebesgue measure and the Lebesgue integral.

Content

- Measures and measurable functions
- Integral, integrable functions
- Convergence theorems
- Measure product, Fubini's theorem
- Lp spaces
- Convergence concepts in Lp
- Convolutions
- Derivation of functions

Learning Prerequisites

Recommended courses

Analyse lll-lV
Obligatoire pour IN/SC : Analyse lll, Physique générale I et II et Probabilités et statistique
Obligatoire : Analyse lll, Physique générale l et II et Probabilités et statistique.

 

Learning Outcomes

By the end of the course, the student must be able to:

Teaching methods

The course is given during the first 7 weeks with 5 hours ex-cathedra and 3 hours of exercises.

Assessment methods

Written exam

Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu'il communique aux étudiants concernés.

In the programs

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11 MAA331MAA331  
11-12   
12-13     
13-14     
14-15DIA 004    
15-16    
16-17DIA 004    
17-18    
18-19     
19-20     
20-21     
21-22     
 
      Lecture
      Exercise, TP
      Project, other

legend

  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German