2023-2024 / MATH0057-3

Mathematics for economic and management sciences (part 2)


30h Th, 30h Pr

Number of credits

 Bachelor in economics and business management5 crédits 


Elise Vandomme

Language(s) of instruction

French language

Organisation and examination

All year long, with partial in January


Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

Contents :

  • 1. Calculus (functions of one variable): antiderivatives and integrals;
  • 2. Linear algebra: rank; eigenvalues and eigenvectors; diagonalization of matrices; quadratic forms;
  • 3. Calculus (functions of several variables): partial derivatives, differentials,optimization with or without constraints;
  • 4. Functional equations (differential equations, recurrence equations).
    Applications to management science and economics.

Learning outcomes of the learning unit

Strategy :
The course will allow students to analyse the financial and economic context of a complex situation.The course will allow students to demonstrate scientific precision and a critical mind in the analysis of a complex situation.

Implementation :
The course will train the student to capitalize on the characteristics of a more and more digitalized world when confronted with a complex situation.

Quality and Performance Control :
The course will teach the students to use the appropriate analytical tools when analysing a complex management situation. 

Adaptability :
The course will encourage students to be curious and to show a scientific precision of academic level in their studies as well as in their professional life.

Prerequisite knowledge and skills

Calculus (functions of one variable, up to derivatives) and basic linear algebra (matrices and determinants).

Planned learning activities and teaching methods

Each week, there will be a large groupe class and an exercise session in smaller groups.

Selected exercises are to prepare outside of class and before the exercise sessions. The exercises will be announced a few days before to prepare in advance. 

Personal work, outside of class sessions and exercises is expected of the student throughout the year. Regular work is essential to achieve the objectives.

In addition to the ongoing large group classes, exercise sessions are held in small groups. Formative evaluations ("blank exams") are organized.

Mode of delivery (face to face, distance learning, hybrid learning)

Face-to-face course

Additional information:

  • Ex-cathedra lectures
  • Exercises within groups of students.
  • Possibility to attend "questions-and-answers" sessions.

Recommended or required readings

Required reading

  • Lecture notes available on LoL@
  • slides available on LoL@
  • Exercices booklet available on LoL@.
Facultative reading
For extra exercises:
Pascal Dupont, Exercices corrigés de mathématiques, De Boeck Université, Bruxelles, 2008.
Additional references about linear algebra:
David Lay, Algèbre linéaire et applications, Pearson, Montreuil, 2012 ;
Shin Takahashi, Iroha Inoue, The Manga Guide to Linear Algebra, No Starch Press, s. l., 2012.

Exam(s) in session

Any session

- In-person

written exam ( multiple-choice questionnaire, open-ended questions )

Additional information:

First session

In January and June, there will be a written exam, if possible on site, including theoretical questions and problems to solve. It will have two parts :

  • MCQ (30%)
  • Open questions (70%)
The annual mark is simply the mean of both semester marks.

Second session

In August or September, there will be a written exam, if possible on site, including theoretical questions and problems to solve. It will have two parts :

  • MCQ (30%)
  • Open questions (70%)
Note that, in this case, the exam covers the whole year.

Work placement(s)

Organisational remarks and main changes to the course

The course will not be recorded.


Instructor :
Élise Vandomme,
HEC Liège,
Rue Louvrex 14,
4000 Liège
(Building N1, room 304).
Email: Elise.Vandomme@uliege.be

Elodie Etienne,
HEC Liège,
Rue Louvrex 14,
4000 Liège
(Building N1, room 334).
Phone: +32 4 232 73 75 ;
Email: Elodie.Etienne@uliege.be


Association of one or more MOOCs