Study programme 2015 - 2016
Programme component of Bachelor's Degree in Engineering à la Faculty of Engineering
CodeTypeHead of UE Department’s
contact details
Teacher(s)
UI-B2-IRCIVI-003-MCompulsory UEGILLIS NicolasF151 - Mathématique et Recherche opérationnelle
    Language
    of instruction
    Language
    of assessment
    HT(*) HTPE(*) HTPS(*) HR(*) HD(*) CreditsWeighting Term
      Français0000044
      AA CodeTeaching Activity (AA) HT(*) HTPE(*) HTPS(*) HR(*) HD(*) Term Weighting
      I-MARO-00550%
      I-MARO-00750%
      Unité d'enseignement
      PrérequisUI-B1-IRCIVI-003-M Mathématique pour l'ingénieur 1
      PrérequisUI-B1-IRCIVI-004-M Mathématique pour l'ingénieur 2

      Objectives of general skills

      • Understand the theoretical and methodological fundamentals in science and engineering to solve problems involving these disciplines
        • Identify, describe and explain basic scientific and mathematical principles
        • Identify, describe and explain the basic principles of engineering particularly in their specialising field
        • Understand laboratory techniques: testing, measuring, monitoring protocol, and security
        • Select and rigorously apply knowledge, tools and methods in sciences and engineering to solve problems involving these disciplines

      UE's Learning outcomes

      - Understand and explain the basic concepts of probability and some important results (law of large numbers, Central Limit Theorem);- Solve simple applications implementing these concepts and results in a number of concrete situations (gambling, election polls, queues, fault diagnosis, ...); - Construct an interval containing almost certainly the value of a parameter of the distribution of a variable al- Testing the assumptions made on the value of parameters associated with random variables, and other assumptions such as independence, fit and homogénéit- Establish a linear regression model to an explanatory variable.

      UE Content

      notions of probability: random variables and distribution; classical distributions; vectors al independence, correlation, normal distribution; laws of large numbers; central limit theorem, characteristic function, approximation to the binomial distribution by the normal distribution and the Poisson distribution; modeling real situations by probability (eg, queues, Google PageRank).

      Notions of statistics: basic descriptive statistics in one and two dimensions (sample frequency, graphics); correlation; regression; independence; estimate average intervals, variance, proportion; regression coefficient; maximum likelihood method; hypothesis testing (population mean, proportion, variance, comparison of means and variances, fit, independence); linear regression model (in one variable).

      Prior experience

      Not applicable

      Term 1 for Integrated Assessment - type

      • Written examination

      Term 2 for Integrated Assessment - type

      • Written examination

      Term 3 for Integrated Assessment - type

      • Written examination

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

      • Written examination

      Type of Teaching Activity/Activities

      AA
      I-MARO-005
      I-MARO-007

      Mode of delivery

      AA
      I-MARO-005
      I-MARO-007

      Required Reading

      AA
      I-MARO-005
      I-MARO-007

      Required Learning Resources/Tools

      AA
      I-MARO-005
      I-MARO-007

      Recommended Reading

      AA
      I-MARO-005
      I-MARO-007

      Recommended Learning Resources/Tools

      AA
      I-MARO-005
      I-MARO-007

      Other Recommended Reading

      AA
      I-MARO-005
      I-MARO-007

      Term 1 Assessment - type

      AA
      I-MARO-005
      I-MARO-007

      Term 1 Assessment - comments

      AA
      I-MARO-005
      I-MARO-007

      Resit Assessment - Term 1 (B1BA1) - type

      AA
      I-MARO-005
      I-MARO-007

      Resit Assessment - Term 1 (B1BA1) - Comments

      AA
      I-MARO-005
      I-MARO-007

      Term 2 Assessment - type

      AA
      I-MARO-005
      I-MARO-007

      Term 2 Assessment - comments

      AA
      I-MARO-005
      I-MARO-007

      Term 3 Assessment - type

      AA
      I-MARO-005
      I-MARO-007

      Term 3 Assessment - comments

      AA
      I-MARO-005
      I-MARO-007
      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