الخطوط العريضة للقسم

  • algebra

  • contact

      • Teacher: Dr. HIND Bouredji
      • Coefficient: 03
      • Credits: 05
      • Time per week: 01:30 hours lessons and 01:30 hours TD
      • Teacher of lessons: Pr. ABDELMADJID Abba
      • Contact: hind.bouredji@univ-biskra.dz
      • Evaluation method: Continuous
      • Target audience: First year License (1L) informatics 

  • objectives
    • The aim of this lesson typically revolves around developing the fundamental understanding and skills needed to work with mathematical expressions, equations, and functions. Here are some objectives commonly associated with algebra lessons:

      • Define the main operators, the quantifiers, and their properties: not, and, or.
      • Discover to reasoning by the direct proof, contra-positive proof, proof by contradiction,and proof by induction.
      • Apply all these notions to the mathematical demonstration.
      • Identify the uses of sets, applications.
      • Define set notations and operations such as union, intersection, and complement.
      • Explore fundamental types of application.

  • Pre-requisite

    • In order for the lesson to be understood, the student must have the following knowledge:

      • Understanding of numbers, ratios, proportions, the order of operations, equality...
      • You must have mathematics skills at the level of the last year of secondary beforestarting the module.
      • You must know the functions (definition field, derivative...)

  • plan


    Introduction

    Chapter 1 : Logic concepts

    Chapter 2 : Sets and applications


  • pretest

  • Logic

  • Set

  • Final test

  • References

    • Bibliography:

      O'LEARY, Michael L. A first course in mathematical logic and set theory. John Wiley & Sons, 2015.

      J. Franchini et J. C. Jacquens, Algèbre : cours, exercices corrigés, travaux dirigés, Ellipses, Paris, 1996.

      C. Degrave et D. Degrave, Algèbre 1ère année : cours, méthodes, exercices résolus, Bréal, 2003.

      M. Mignotte et J. Nervi, Algèbre : licences sciences 1ère année, Ellipses, Paris, 2004.

    • Webography:

      https://www.bibmath.net

      https://www.vaia.com

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