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• Généralités
  

  Généralités

  • Annonces Forum
• Course Information Sheet
  

  Course Information Sheet

  

  
  

  • General Course Objectives Leçon

    Course Description:

    This course is intended for first-year students in the common core of Economic, Commercial, and Financial Sciences, particularly L1-Fila students. It focuses on analytical and algebraic tools and is structured into five chapters, covering the entire official syllabus of the Mathematics 2 module.

    The first two chapters introduce partial derivatives of multivariable functions and various methods for solving differential equations. The course also covers matrix calculus and its application in solving systems of linear equations with multiple unknowns.
    
    Moreover each chapter includes fully worked-out examples to illustrate the different concepts presented, followed by a set of proposed exercises.

    By mastering these concepts, students will be able to apply them to problem-solving in operational research, data analysis, and other related fields.
    

    
    
    

  • Objectives Leçon

    The objective of this course is to:

    • Build students' knowledge and skills in analysis and linear algebra.
    • Help students understand and use differential equations and partial derivatives in microeconomics.
    • Introduce matrices and teach basic matrix operations.
    • Apply matrix concepts to solve linear systems, which are useful in decision theory.

    
    

  • Prerequisites: Leçon

    

    For the student to successfully understand this course, they should have prior knowledge of:

    • Basic concepts of analysis and algebra.
    • Concepts covered in the Mathematics 1 module.
    • Calculating antiderivatives  and integrals 
    • Understanding single-variable functions.

    
    

  • Course Content Leçon

    1.     Differential equations

    2.     Functions of two variables.

    3.     General concepts of matrices and their operations.

    4.     Determinants and methods for calculating the inverse of a matrix.

    5.     Solving systems of linear equations.

    
    

  • General Course Objectives Fichier Image (JPEG)
  • table of contents Fichier
  • terminology Fichier
  • Bibliography Leçon

    
    

    
    

    
    

    1)    K. Sydsæter, P.Hammond (2020), Mathématiques pour l'économie, ed : Pearson.
    2)    Guy-Patrick Mafouta-Bantsimba (2005), Mathématiques pour l'économie, Méthodes et exercices corrigés, Ed : De Boeck Supérieur.
    3)    F. Bories-Longuet (2000),Algèbres linéaire- cours et exercices corrigés, Ed : Ellipse.
    4)    M. Kibler  (2022), Éléments d'Analyse et de Calcul Matriciel , Ed : Ellipse.

• Test of prerequisites
  

  Test of prerequisites

  • prerequisties Sondage

    the dervative function of ln(x) is 

• Chapter 01: 1. Differential equations
  

  Chapter 01: 1. Differential equations

  
  

  • eqdiff 1st order Fichier
  • eqdiff 2nd orer Fichier
  • Tutorial (TD1) Fichier
  • solving 2nd order differtial equation URL
  • solving EDO with separate variable URL
• Chapter 2 : Functions of two variables.
  

  Chapter 2 : Functions of two variables.

  
  

  • function Fichier
• Chapter 3: General concepts of matrices
  

  Chapter 3: General concepts of matrices

  
  

  • Definitions and type of matrices Fichier
  • Elementary Operations with Matrices: Fichier
  • Tutorial (TD1) Fichier
  • product of tow matrices URL
• Chapter 4: 4. Determinants and methods for calculating the inverse of a matrix.
  

  Chapter 4: 4. Determinants and methods for calculating the inverse of a matrix.

  
  

  • Determinant of the matrix Fichier
  • invertible matrix Fichier
  • Tutorial (TD2) Fichier
  • how to calculate the determinant of any matrix URL
  • how to find the invertible matrix URL
• Chapter 5: Systems of Linear Equations
  

  Chapter 5: Systems of Linear Equations

  
  

  • Systems of Linear Equation Fichier
  • Tutorial (TD3) Fichier
• Section 8
  

  Section 8
• Section 9
  

  Section 9
• Section 10
  

  Section 10