Study programme 2015 - 2016
Programme component of Bachelor's Degree in Mathematics à la Faculty of Science
CodeTypeHead of UE Department’s
contact details
Teacher(s)
US-B2-SCMATH-002-MCompulsory UEVOLKOV MajaS843 - Géométrie algébrique
    Language
    of instruction
    Language
    of assessment
    HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
      Français0000055
      AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term
      S-MATH-011
      Integrated Assessment: There will be an overall assessment for the entire Programme component (UE) instead of individual assessments for each Teaching Activity (AA)

      Objectives of general skills

      • Understand "elementary" mathematics profoundly
        • Use vector spaces, linear applications and the techniques associated with them
        • Understand and use the naive set theory
        • Understand basic algebraic structures
        • Manipulate previously acquired knowledge that appears in a question
        • Give examples and counterexamples for definitions, properties, theorems, etc.
      • Understand and produce strict mathematical reasoning
        • Write clearly and concisely
        • Use mathematical vocabulary and formalism appropriately
        • Make sense of formal expressions
        • Rely on a picture to illustrate a concept, rationale, etc.
      • Solve new problems
        • Abstract and manipulate theories and use these to solve problems
        • Adapt an argument to a similar situation
        • Use knowledge from different fields to address issues

      UE's Learning outcomes

      Introduction to group theory with emphasis on finite groups.
      The aim of this course is to develop enough group theory and to introduce group actions in order to prove the Sylow Theorems.

      UE Content

      Finite groups, group actions, p-groups, Sylow Theorems.

      Prior experience

      "Algèbre I" course.

      Term 1 for Integrated Assessment - type

      • Written examination

      Term 1 for Integrated Assessment - comments

      Not applicable

      Term 2 for Integrated Assessment - type

      • Written examination

      Term 2 for Integrated Assessment - comments

      Not applicable

      Term 3 for Integrated Assessment - type

      • Written examination

      Term 3 for Integrated Assessment - comments

      Not applicable

      Resit Assessment for IT - Term 1 (B1BA1) - Comments

      Not applicable

      Type of Teaching Activity/Activities

      AA
      S-MATH-011

      Mode of delivery

      AA
      S-MATH-011

      Required Reading

      AA
      S-MATH-011

      Required Learning Resources/Tools

      AA
      S-MATH-011

      Recommended Reading

      AA
      S-MATH-011

      Recommended Learning Resources/Tools

      AA
      S-MATH-011

      Other Recommended Reading

      AA
      S-MATH-011
      UE : Programme component - AA : Teaching activity
      (*) HT : Hours of theory - HTPE : Hours of in-class exercices - HTPS : hours of practical work - HD : HMiscellaneous time - HR : Hours of remedial classes. - Per. (Period), Y=Year, Q1=1st term et Q2=2nd term
      Integrated Assessment: There will be an overall assessment for the entire Programme component (UE) instead of individual assessments for each Teaching Activity (AA)