Mathematics in economy and management

Teacher(s)

Lambrechts Pascal; Lecocq Robin (compensates Lambrechts Pascal);

Language

French

Prerequisites

Prerequisites: Mathematical background of a belgian secondary school curriculum corresponding to a minimum of 4 hours per week of secondary school mathematics, excluding trigonometry, probability, combinatorics, and statistics. It mainly includes equations and inequations, functions (graphs, properties), derivative, integration, exponential and logarithms, limits, vectors.

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. It aims to develop a systematic gait of analysis and resolution

Learning outcomes

At the end of this learning unit, the student is able to :
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.

Teaching methods

The course is taught through:

• lectures (the teacher defines concepts, proves results, and illustrates them using an application); during these lectures, the teacher regularly prompts students to ask themselves questions related to the course;
• exercise sessions that students will have to prepare in advance; the session supervisors will be there to validate the solutions proposed by the students and help them move forward on the exercises they struggled with during their preparation;
• interactive online exercises that students can complete in order to catch up on or consolidate essential prerequisites.

Evaluation methods

The assessment consists of a written exam. An optional test will be offered during the term. A score of 50% on the test awards one bonus point to the exam grade. A score of 75% awards a second one.
The test and the exam may contain a written response section and/or a multiple-choice section.
No use of electronic tools is allowed (including calculators and AI).

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