Duration
30h Th, 30h Pr
Number of credits
| Bachelor in economics and business management | 5 crédits |
Lecturer
Language(s) of instruction
French language
Organisation and examination
All year long, with partial in January
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
The course is organized into two parts.
1. Linear algebra (First semester)
This first part introduces the fundamental tools of linear algebra. It covers:
- Vector and matrix calculus;
- Systems of linear equations;
- Diagonalization of matrices;
- The study of quadratic forms.
This second part explores the mathematical tools used to study functions of several variables. The main topics covered are:
- Differential calculus (partial derivatives, differentials)
- Optimization problems, with or without constraints;
- Functional equations, in particular differential equations and recurrence equations.
Learning outcomes of the learning unit
Upon completion of this course, students will be able to:
Linear algebra
- Manipulate vectors and matrices, and understand their role in mathematical modeling.
- Solve systems of linear equations using algebraic and matrix methods.
- Understand and apply the concepts of diagonalization, eigenvalues, and eigenvectors.
- Analyze and interpret quadratic forms in an economic context.
- Calculate partial derivatives and use differential calculus tools to study functions of several variables.
- Solve optimization problems, with or without constraints, using appropriate methods (e.g., Lagrange multipliers).
- Model dynamic phenomena using differential and recurrence equations.
- Apply mathematical concepts to concrete situations in management and economics (e.g., profit maximization, cost minimization, growth modeling).
- Develop rigor in mathematical reasoning and problem solving.
- Interpret mathematical results in an applied context.
- Use appropriate mathematical tools to support decision-making in economic or managerial contexts.
- Demonstrate curiosity and scientific rigor at the university level, both in the context of studies and in future professional practices.
Prerequisite knowledge and skills
Calculus (functions of one variable) and financial mathematics
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
Further information:
- Ex-cathedra lectures
- Exercises within groups of students.
- Possibility to attend "questions-and-answers" sessions.
Course materials and recommended or required readings
Platform(s) used for course materials:
- LOL@
Further information:
Required reading
- Lecture notes available on LoL@
- Slides available on LoL@
- Exercices booklet available on LoL@.
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 )
Further information:
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%)
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%)
From one year to the next
No grade carryover is granted from one year to the next.
Work placement(s)
Organisational remarks and main changes to the course
Contacts
Instructor :
- Élise Vandomme
Office : 3/4, building N1a
Mail : Elise.Vandomme@uliege.be
- For the 1st semester :
Sabine Maron
Office : 3/6, building N1a
Mail : Sabine.Maron@uliege.be - For the 2nd semester :
Eddy Flas
Office : 3/6, building N1a
Mail: Eddy.Flas@uliege.be
HEC Liège
Rue Louvrex 14
4000 Liège