Analysis III (Vorlesung mit Übungen)

  • Teaching

    Details

    Faculty Faculty of Science and Medicine
    Domain Mathematics
    Code UE-SMA.02131
    Languages German
    Type of lesson Exercise
    Lecture
    Level Bachelor
    Semester SA-2021

    Title

    French Analyse III (cours avec exercices)
    German Analysis III (Vorlesung mit Übungen)
    English Analysis III (lecture with exercises)

    Schedules and rooms

    Summary schedule Tuesday 13:15 - 15:00, Hebdomadaire, PER 08, Room 2.52
    Thursday 10:15 - 12:00, Hebdomadaire, PER 08, Room 2.52
    Friday 08:15 - 10:00, Hebdomadaire, PER 08, Room 2.73
    Struct. of the schedule 2x2h de cours et 2h d'exercices par semaine
    Contact's hours 84

    Teaching

    Responsibles
    Teachers
    Description

    Inverse and Implicit Function Theorems, Lagrange multipliers, Riemann integral for functions of several variables, line integrals, complex analysis (complex differentiation, Cauchy Riemann equations, power series, Cauchy integral theorem/formula, residue theorem)

    Training objectives On successful completion of the course, students will have a good understanding of the concepts described in the Resume Section below. They will be able to use their gained understanding to solve moderately complex problems related to the learnt material. During the course, they will improve their abstract reasoning skills and they will learn to present solutions to a given problem in a professionally acceptable manner.
    Softskills
    No
    Off field
    No
    BeNeFri
    No
    Mobility
    Yes
    UniPop
    No
  • Dates and rooms
    Date Hour Type of lesson Place
    21.09.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    23.09.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    24.09.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    28.09.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    30.09.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    01.10.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    05.10.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    07.10.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    08.10.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    12.10.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    14.10.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    15.10.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    19.10.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    21.10.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    22.10.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    26.10.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    28.10.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    29.10.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    02.11.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    04.11.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    05.11.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    09.11.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    11.11.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    12.11.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    16.11.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    18.11.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    19.11.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    23.11.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    25.11.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    26.11.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    30.11.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    02.12.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    03.12.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    07.12.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    09.12.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    10.12.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    14.12.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    16.12.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    17.12.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
    21.12.2021 13:15 - 15:00 Cours PER 08, Room 2.52
    23.12.2021 10:15 - 12:00 Cours PER 08, Room 2.52
    24.12.2021 08:15 - 10:00 Exercice PER 08, Room 2.73
  • Assessments methods

    Examen oral - SA-2021, Session d'hiver 2022

    Assessments methods By rating
    Descriptions of Exams

    COVID-19 - SS2020 / Exam session SUMMER 2020

    Oral Exam with physical presence

    Duration: 20' or 30' minutes

     

    mündliche Prüfung

  • 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 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: 2020_1/V_01
    BSc in Mathematics, Major, 2nd-3rd year > Math. br. principale, 2ème et 3ème années, oblig.

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

    Physics 150
    Version: 2021_1/V_01
    BSc in Physics, Major, 2nd-3rd year > Physics, Major 2nd year, mandatory TU (from AS2020)

    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)