*Note from June 29, 2020*

Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.

6 credits

45.0 h + 30.0 h

Q1

Teacher(s)

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

Aims

| |

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. |

*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”.*

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 reports submitted during resolution the course, test results and the results of a written examination.
Support: Syllabus

Bibliography

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

Faculty or entity

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

Title of the programme

Sigle

Credits

Prerequisites

Aims

Minor in Management (ESPO students)

Minor in Economics (open)

Minor in Mangement (basic knowledge)

Minor in Statistics, Actuarial Sciences and Data Sciences

Minor in Scientific Culture

Bachelor in Philosophy, Politics and Economics

Bachelor in Economics and Management