Mesure et Intégration / Measure and integration

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.03400
    Languages English , French
    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 (Autumn semester)
    Tuesday 13:15 - 15:00, Hebdomadaire (Autumn semester)
    Struct. of the schedule 4h par semaine durant 14 semaines
    Contact's hours
    		56

    Teaching

    Responsibles
    • Manolescu Ioan
    Teachers
    • Manolescu Ioan
    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

    Oral exam - SP-2022, Autumn Session 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: 2022_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: 2022_1/V_01
    Supplement to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)
    Additional TDHSE programme in Mathematics
    Version: 2022_1/V_01
    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)
    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)
    Mathematics 120
    Version: 2022_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: 2022_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: 2022_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: 2022_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: 2022_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: 2022_1/V_01
    Prerequisite to the MSc in Mathematics > Advanced courses in Mathematics (Bachelor level)