Mesure et Intégration / Measure and integration

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.04400
    Languages French , English
    Type of lesson Lecture
    Level Master
    Semester SA-2022

    Title

    French Mesure et Intégration
    German Mass und Integral
    English Measure and integration

    Schedules and rooms

    Summary schedule Tuesday 13:15 - 15:00, Hebdomadaire (Autumn semester)
    Thursday 08:15 - 10:00, Hebdomadaire (Autumn semester)
    Struct. of the schedule 4h par semaine durant 14 semaines
    Contact's hours
    		56

    Teaching

    Responsibles
    • Le Donne Enrico
    Teachers
    • Le Donne Enrico
    Description Mesures et prémesures, théorème d'extension, mesures de Borel et de Lebesgue, fonctions mesurables, intégrale de Lebesgue, théorèmes de convergence, espace de fonctions de p-ième puissance intégrable, mesures produit, théorème de Fubini, théorème de Radon-Nikodym
    Training objectives Permettre aux étudiants d'approcher les notions de sigma-algèbre, de mesure, d'intégrale de Lebesgue, de produits finis d'espaces mesurés, d'espaces Lp ainsi que les différentes notions de convergence liées à ce contexte.
    Comments Cours compte pour Analyse ou Mathématiques appliquées
    Softskills No
    Off field No
    BeNeFri Yes
    Mobility Yes
    UniPop No
  • Dates and rooms
    Date Hour Type of lesson Place
    20.09.2022 13:15 - 15:00 Cours PER 23, Room 0.05
    22.09.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    27.09.2022 13:15 - 15:00 Cours PER 23, Room 0.05
    29.09.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    04.10.2022 13:15 - 15:00 Cours PER 23, Room 0.05
    06.10.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    11.10.2022 13:15 - 15:00 Cours PER 23, Room 0.05
    13.10.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    18.10.2022 13:15 - 15:00 Cours PER 23, Room 0.05
    20.10.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    25.10.2022 13:15 - 15:00 Cours PER 23, Room 0.05
    27.10.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    03.11.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    08.11.2022 13:15 - 15:00 Cours PER 23, Room 0.05
    10.11.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    17.11.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    22.11.2022 13:15 - 15:00 Cours PER 23, Room 0.05
    24.11.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    29.11.2022 13:15 - 15:00 Cours PER 23, Room 0.05
    01.12.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    06.12.2022 13:15 - 15:00 Cours PER 23, Room 0.05
    13.12.2022 13:15 - 15:00 Cours PER 23, Room 0.05
    15.12.2022 08:15 - 10:00 Cours PER 23, Room 0.05
    20.12.2022 13:15 - 15:00 Cours PER 23, Room 0.05
    22.12.2022 08:15 - 10:00 Cours PER 23, Room 0.05
  • Assessments methods

    Oral exam - SA-2022, Session d'hiver 2023

    Assessments methods By rating
    Descriptions of Exams examen oral

    Oral exam - SP-2023, Autumn Session 2023

    Assessments methods By rating
    Descriptions of Exams examen oral
  • Assignment
    Valid for the following curricula:
    Additional Courses in Sciences
    Version: ens_compl_sciences
    Paquet indépendant des branches > Specialized courses in Mathematics (Master level)
    Additional programme requirements for PhD studies [PRE-DOC]
    Version: 2020_1/v_01
    Additional programme requirements for PhD studies (Faculty of Science and Medicine) > Specialized courses in Mathematics (Master level)
    MSc in Mathematics [MA] 90
    Version: 2022_1/V_01
    MSc in Mathematics, lectures and seminars (from AS2020 on) > MSc-MA, lectures (from AS2018 on)
    Mathematics +30 [MA] 30
    Version: 2022_1/V_01
    Minor in Mathematics +30 (MATH+30 for 90 ECTS) > Mathematics +30, Module C (from AS2020 on)
    Mathematics [3e cycle]
    Version: 2015_1/V_01
    Continuing education > Specialized courses in Mathematics (Master level)
    Mathematics [POST-DOC]
    Version: 2015_1/V_01
    Continuing education > Specialized courses in Mathematics (Master level)