Ce cours apparaît dans les formations suivantes :
• Faculté de Gestion, Economie & Sciences - Licences & Prépas - Licence 2 Internationale d'Economie et de Gestion - S4 - 3 ECTS

Pré requis

Mathematics L1 IEG

Objectifs du cours

Introductory Course to Mathematical Analysis for Business and Economics.

• Integration and differential Equations applied to Consumers’ and Producer’s Surplus, Growth and Decay models: Exponential and Logistic models


• Linear Models related to Matrices and Systems of Linear Equations. Leontief Input Output Analysis


• Introduction to Markov Chains.


• Introduction to Linear Programming ?

Contenu du cours

4. Matrices (2) Systems with infinite many solutions (Section 6 Matrices) Inverse of a Matrix – Determinant (n=2 and n=3) Leontief’s Input Output Analysis

4.1 Systems of linear equations with no solution

4.2 System with infinitely many solutions. size of the solution Set (number of parameters)

4.3 Inverse of a Matrix.

4.4 Determinant (n=2 and n=3)

4.5 Leontief Model: Input Output analysis

5. Matrices (3) Introduction to Markov Chains

5.1 Short Review: Arithmetic and Geometric Progressions

5.2 Proof by induction applied to Sequences of Matrices

5.3 A situation of Markov Chain (Section 9.3)

• Markov Chain, State transition rule, Tree diagram, Transition Matrix and its powers, State Vector,


• Steady State Vector

6 linear programming (Section 7.1 to 7.4)

6.1 System of Linear inequalities in two variables

6.2.a Linear Programming of a linear function in two variables : graphical approach.

6.2.b Multiple optimum solutions

6.3 The simplex method

Modalités d'enseignement

Organisation du cours

Méthodes pédagogiques

Évaluation

Bibliographie

• Recommended book: Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences 13th Edition. Pearson New international Edition - 2014||
  

  
  
  • Internet resources:
    
    
    
    • Khan Academy
    
    
    • Miscellaneous, depending on the chapters.