6.00 credits

45.0 h + 30.0 h

Q1

Teacher(s)

Federinov Julien (compensates Lambrechts Pascal); Lambrechts Pascal; Van Vyve Mathieu;

Language

French

Main themes

Gone 1: Wholes, Relations and Elements of formal logic
Wholes. Numbers. Relation of order. Theorems and methods of demonstration.
Gone 2: Plane geometry: tie algebra - geometry
Distance in the plan. Rights and circles. Equations and Inequations.
Gone 3: Real functions of a real variable, elements of analysis.
Definition. Graphs of function. Limits. Continuity. Derivative. Applications of the derivative. Optimization of functions of a variable. Functions powers, polynomials, exponential and logarithms.
Derivative of superior order. Linear and polynomial (Taylor) approximations (differential). Integration.
Gone 4: Introduction to the functions of several variables
Representation of the functions to two variables. Derivative partial, economic Applications. Tools of comparative statics: Rule of derivation in chain, Springiness.
Gone 5: Introduction to the matrix calculation
Matrixes. Resolution of linear systems. Inverse. Determining.
The teaching puts the accent on the gait of modelling, and on the resolution of applications or problems in economics, political and social with the help of mathematical methods or formal logic. He/it aims to develop a systematic gait of analysis and resolution

Learning outcomes

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1 | This first math course is dedicated to the study of the real functions mainly to a real variable. The course also introduces to the study of the functions to several real variables and to the matrix calculus, and browses a large palette of techniques and essential mathematical concepts for the practitioners of the economy and the management. One can summarize the objectives and finalities of the course to two essential measurements : - The training of the mathematical tool (what aims a set of knowledge directly). The acquirement should be a reasonable capacity to manipulate the notions studied in the course, that is the fundamental notions used in the models and quantitative methods in social studies. - The training of a reasoning formalized and rigorous (what is more difficult to to reach and aim "ability" of mathematical modelling more) The course also has a function of refresher the level of the mathematical formation that the students received in humanities. For a part of the students, it will be about a revision in the specific context of social sciences, for another part, it will be about a refresher course. |

Other information

Prerequisite: The course has no prerequisites other than the mathematical background for a program of at least 4h mathematics final years of school. Evaluation: The evaluation takes into account the test results and the results of a written examination.

Bibliography

Livre "Mathématiques pour l'économie" K. Sydsaeter, P. Hammond (collab. Arne Strom) édité par Pearson

Faculty or entity

**ESPO**

#### Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme

Sigle

Credits

Prerequisites

Learning outcomes

Minor in Management (ESPO students)

Minor in Scientific Culture

Minor in Economics (open)

Bachelor in Philosophy, Politics and Economics

Minor in Mangement (basic knowledge)

Bachelor in Economics and Management

Minor in Statistics, Actuarial Sciences and Data Sciences