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Mathematics in economics and management [ LLSMG2101 ]


5.0 crédits ECTS  30.0 h + 15.0 h   1q 

Teacher(s) Keymolen Guy ;
Language French
Place
of the course
Louvain-la-Neuve
Main themes The course is in two parts: elementary infinitesimal calculus, and elementary matrix calculus, with applications to economics and management.
Aims The course must provide students with nonscientific education, a mathematical basis enabling them to follow courses of Master of Economic Sciences (ECON2M1), Master of Management Sciences (GEST2M1) or Diploma of the Second Cycle (Licence) in Economic Sciences (ECON21).
Content The course is in two parts, elementary infinitesimal calculus and elementary matrix calculus, with applications to economics and management. Content : 1. Elementary infinitesimal calculus : 1.1 The real functions of a real variable : Real numbers - Main functions (linear, power, exponential, logarithms) - Limits, continuity and 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. Elementary matrix calculus : Matrices and operations on matrices - Systems of linear equations - Determinant and matrix inversion - Particular matrices and determinants (Hessien, …). Methods : This lecture course, which will be illustrated by examples, will mainly aim to provide an overview of the concepts and basic techniques. In practical work, the emphasis will be on the assimilation of the basic techniques with applications to problems of economy and management.
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.
Cycle et année
d'étude
> Master [60] in Management
Faculty or entity
in charge
> CLSM


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