Algèbre linéaire II (cours avec exercices)

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.01204
    Languages French
    Type of lesson Exercise
    Lecture
    Level Bachelor
    Semester SP-2022

    Title

    French Algèbre linéaire II (cours avec exercices)
    German Lineare Algebra II (Vorlesung mit Übungen)
    English Linear Algebra II (lecture with exercises)

    Schedules and rooms

    Summary schedule Monday 13:15 - 15:00, Hebdomadaire (Spring semester)
    Thursday 08:15 - 10:00, Hebdomadaire (Spring semester)
    Friday 08:15 - 10:00, Hebdomadaire (Spring semester)

    Teaching

    Responsibles
    • Kellerhals Ruth
    Teachers
    • Kellerhals Ruth
    Description

    On abordera la classification des endomorphismes, l'étude des formes bilinéaires et quadratiques, des espaces euclidiens et unitaires.
    Finalement on étudiera le polynôme minimal, la décomposition en sous-espaces invariants et le théorème de Cayley-Hamilton.

    Training objectives

    Knowledge of fundamental concepts of linear spaces, homomorphisms and applications to geometry.

    Softskills No
    Off field No
    BeNeFri No
    Mobility Yes
    UniPop No
  • Dates and rooms
    Date Hour Type of lesson Place
    21.02.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    24.02.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    25.02.2022 08:15 - 10:00 Exercice PER 08, Room 2.52
    28.02.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    03.03.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    04.03.2022 08:15 - 10:00 Exercice PER 08, Room 2.52
    07.03.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    10.03.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    11.03.2022 08:15 - 10:00 Exercice PER 08, Room 2.52
    14.03.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    17.03.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    18.03.2022 08:15 - 10:00 Exercice PER 08, Room 2.52
    21.03.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    24.03.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    25.03.2022 08:15 - 10:00 Exercice PER 08, Room 2.52
    28.03.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    31.03.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    01.04.2022 08:15 - 10:00 Exercice PER 08, Room 2.52
    04.04.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    07.04.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    08.04.2022 08:15 - 10:00 Exercice PER 08, Room 2.52
    11.04.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    14.04.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    25.04.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    28.04.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    29.04.2022 08:15 - 10:00 Exercice PER 08, Room 2.52
    02.05.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    05.05.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    06.05.2022 08:15 - 10:00 Exercice PER 08, Room 2.52
    09.05.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    12.05.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    13.05.2022 08:15 - 10:00 Exercice PER 08, Room 2.52
    16.05.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    19.05.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    20.05.2022 08:15 - 10:00 Exercice PER 08, Room 2.52
    23.05.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    30.05.2022 13:15 - 15:00 Cours PER 08, Room 2.52
    02.06.2022 08:15 - 10:00 Cours PER 08, Room 2.52
    03.06.2022 08:15 - 10:00 Exercice PER 08, Room 2.52
  • Assessments methods

    Written exam

    Assessments methods By rating

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

    Assessments methods By rating

    Oral exam - SP-2022, Autumn Session 2022

    Date 12.09.2022 10:00 - 13.09.2022 16:00
    Assessments methods By rating

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

    Assessments methods By rating

    Oral exam - SP-2023, Autumn Session 2023

    Assessments methods By rating
  • 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)

    Mathematics 120
    Version: 2022_1/V_01
    BSc in Mathematics, Major, 1st year > Math. br. principale, 1ère année

    Mathematics 30 (MATH 30A, B and C)
    Version: 2023_1/V_01
    Mathematics (MATH 30A, B or C), minor 30 (from AS2020 on) > MATH 30A, B or C > Option MATH 30C > Mathematics, minor MATH30C, compulsory courses (from AS2020 on)

    Mathematics 60 (MATH 60)
    Version: 2022_1/V_01
    Mathematics (MATH 60), minor 60 (from AS2020 on) > Mathematics, minor MATH60, compulsory courses (from AS2020 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)

    Physics 150
    Version: 2023_1/V_01
    BSc in Physics, Major, 1st year > Phsyics, Major 1st year (from AS2023 on)

    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)