Mesure et Intégration / Measure and integration

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.03400
    Languages French , English
    Type of lesson Lecture
    Level Bachelor
    Semester SA-2021

    Title

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

    Schedules and rooms

    Summary schedule Monday 15:15 - 17:00, Hebdomadaire
    Tuesday 13:15 - 15:00, Hebdomadaire
    Struct. of the schedule 4h par semaine durant 14 semaines
    Contact's hours 56

    Teaching

    Responsibles
    Teachers
    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
    20.09.2021 15:15 - 17:00 Cours PER 08, Room 2.73
    21.09.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    27.09.2021 15:15 - 17:00 Cours PER 08, Room 2.73
    28.09.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    04.10.2021 15:15 - 17:00 Cours PER 08, Room 2.73
    05.10.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    11.10.2021 15:15 - 17:00 Cours PER 08, Room 2.73
    12.10.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    18.10.2021 15:15 - 17:00 Cours PER 08, Room 2.73
    19.10.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    25.10.2021 15:15 - 17:00 Cours PER 08, Room 2.73
    26.10.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    02.11.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    08.11.2021 15:15 - 17:00 Cours PER 08, Room 2.73
    09.11.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    16.11.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    22.11.2021 15:15 - 17:00 Cours PER 08, Room 2.73
    23.11.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    29.11.2021 15:15 - 17:00 Cours PER 08, Room 2.73
    30.11.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    06.12.2021 15:15 - 17:00 Cours PER 08, Room 2.73
    07.12.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    13.12.2021 15:15 - 17:00 Cours PER 08, Room 2.73
    14.12.2021 13:15 - 15:00 Cours PER 07, Room 2.301
    20.12.2021 15:15 - 17:00 Cours PER 08, Room 2.73
    21.12.2021 13:15 - 15:00 Cours PER 07, Room 2.301
  • Assessments methods

    Oral exam - SA-2021, Session d'hiver 2022

    Assessments methods By rating
    Descriptions of Exams

    examen oral

    Oral exam - SP-2022, Session d'été 2022

    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 > Advanced courses in Mathematics (Bachelor level)

    Additional Programme Requirements to the MSc in Computer Science [MA]
    Version: 2018_1/V_01
    Supplement to the MSc in Computer science > Advanced courses in Mathematics (Bachelor level)

    Additional Programme Requirements to the MSc in Computer Science [MA]
    Version: 2020_1/V_01
    Supplement to the MSc in Computer science > Advanced courses in Mathematics (Bachelor level)

    Additional Programme Requirements to the MSc in Mathematics [MA]
    Version: 2020_1/V_01
    Supplement to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)

    Additional TDHSE programme in Mathematics
    Version: 2020_1/V_01
    Additional TDHSE Programme Requirements for Mathematics 60 or +30 > Programme 60 or +30 > Additional Programme Requirements to Mathematics +30 > Additional TDHSE programme for Mathematics +30 (from AS2018 on)
    Additional TDHSE Programme Requirements for Mathematics 60 or +30 > Programme 60 or +30 > Additional Programme Requirements to Mathematics 60 > Additional TDHSE programme for Mathematics 60 (from AS2018 on)

    Mathematics 120
    Version: 2020_1/V_01
    BSc in Mathematics, Major, 2nd-3rd year > Mathematics, Major, 2nd and 3rd years, elective courses (from AS2018 on)

    Mathematics +30 [MA] 30
    Version: 2020_1/V_01
    Minor in Mathematics +30 (MATH+30 for 90 ECTS) > Mathematics +30, Module C (from AS2020 on)

    Mathematics 30 for Mathematicians (MATH 30MA)
    Version: 2020_1/V_01
    Mathematics for mathematicians (MATH 30MA), minor 30 (from AS2020 on) > Mathematics, minor MATH 30MA, elective courses (from AS2018 on)

    Mathematics 30 for Physicists (MATH 30PH)
    Version: 2020_1/V_01
    Mathematics for physicists (MATH 30PH), minor 30 (from AS2020 on) > Mathematics, minor MATH 30PH, elective courses (from AS2018 on)

    Mathematics 60 (MATH 60)
    Version: 2020_1/V_01
    Mathematics (MATH 60), minor 60 (from AS2020 on) > Mathematics, minor MATH60, elective courses (from AS2018 on)

    Mathematics [3e cycle]
    Version: 2015_1/V_01
    Continuing education > Advanced courses in Mathematics (Bachelor level)

    Mathematics [POST-DOC]
    Version: 2015_1/V_01
    Continuing education > Advanced courses in Mathematics (Bachelor level)

    Pre-Master-Programme to the MSc in Mathematics [PRE-MA]
    Version: 2020_1/V_01
    Prerequisite to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)