Mathematics and statistics applied to management

LLSMG2101  2019-2020  Louvain-la-Neuve

Mathematics and statistics applied to management
5.0 credits
30.0 h + 15.0 h
1q

Language
Français
Prerequisites

None

Main themes

The course is in three parts: elementary infinitesimal calculus, elementary matrix calculus, with applications to economics and management, and an elementary introduction to probability/statistics.

Aims

The course must provide to students without solid scientific education a mathematical basis enabling them to follow Master courses in Management Sciences (GEST 2 M1).

The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.

Content

This course includes two different parts : elementary infinitesimal calculus and some elements of probability and statistics.

1. Elementary infinitesimal calculus:

  • 1.1 The real functions of a real variable: Real numbers - Main functions (linear, power, exponential, logarithms) - Limits, continuity, derivatives - Study of the function variations - Optimization - Primitives and definite integration.
  • 1.2 Real functions of several real variables: Partial derivatives - Optimization - Three dimensional graphical visualisation.

2. Elements of probability and statistics :

  • 2.1 Descriptive statistics.
  • 2.2 Basic probability concepts.
  • 2.3 Introduction to tests of hypotheses.
Teaching methods

The lectures, which will be illustrated by examples, will mainly provide an overview of the concepts and basic techniques. For the practical work, the emphasis will be on the assimilation of the basic techniques with applications to problems of economy and management.

Evaluation methods

Written exam : exercices and theory (with simple -nongraphic and without complete alphanumeric keyboard- pocket calculator).

Other information
Prerequisite : nothing. Evaluation : exercices (with simple -nongraphic and without complete alphanumeric keyboard- pocket calculator). Support: lecture notes and exercices with solution. References : " ARCHINARD G., GUERRIEN B., Principes mathématiques pour économistes, Economica, 1992. " JACQUES I., Mathematics for economics and business, seconde édition, Addison-Wesley, 1995. " SIMON C. P., BLUME L., Mathématiques pour économistes, DeBoeck Université, 1998.
Online resources

Available on Moodle

Bibliography

Support : lecture notes, exercices and forums on the platform (Moodle).

References :

  • ARCHINARD G., GUERRIEN B., Principes mathématiques pour économistes, Economica, 1992.
  • DODGE Y. (2007). Mathématiques de base pour économistes, Springer.
  • SYDSAETER, K. & HAMMOND, P., avec STROM, A. (2014). Mathématiques pour l'économie, Pearson.
  • SIMON C. P., BLUME L., Mathématiques pour économistes, DeBoeck Université, 1998.
  • Thomas François (2016). LCLIG2240 : Statistiques linguistiques, cours de Master en linguistique et en langues et littératures, UCL.
  • Brigitte Tribiout (2013). Statistique pour économistes et gestionnaires, 2eme édition. Pearson.
  • David Howell (2008). Méthodes statistiques en sciences humaines, 6eme édition. De Boeck.
Faculty or entity