Ce cours apparaît dans les formations suivantes :
• Faculté de Gestion, Economie & Sciences - Licences & Prépas - Licence 2 Internationale d'Economie et de Gestion - S3 - 2 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.

Contenu du cours

1. Integration Review and Complements (Section 14 Integration)

1.1 Differentials and Marginal Costs.

1.2 The indefinite integral

1.3 Integration with initial conditions

1.4 More formulas and Method of Integration.

1.5 From the Area under a Curve to the Definite Integral

1.6 Area between curves

1.7 Consumers’ and Producer’s Surplus

2. Matrices (1) - System of linear equations with a unique solution (Section 6 Matrices)

2.1 Introduction and Definitions

2.2 Addition and scalar Multiplication

2.3 Matrix multiplication

2.4 Systems of linear equations with a unique solution

3. Integration applied to Differential Equations (Textbook S15.5-6) Exponential Growth and Decay – Logistic Growth

3.1 Differential Equation, Separation of Variables

3.2 Exponential Growth and Decay

3.3 Logistic Growth Model and situations

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.