2018-2019 / MATH0057-3

Mathematics for economic and management sciences (part 2)

Duration

30h Th, 30h Pr

Number of credits

 Bachelor in economics and business management5 crédits 

Lecturer

Pascal Dupont

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January

Schedule

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. 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 notion of the contents is illustrated by exercises.

Mode of delivery (face-to-face ; distance-learning)

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

Recommended or required readings

Lecture notes and 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.

Assessment methods and criteria

Written and/or oral exam with theory and exercises.
If the marks N_T for the theory and the marks N_P for the exercises are both greater than or equal to 05/20, the final marks are N = 0.4 x N_T + 0.6 x N_P; otherwise, N = min{N_T, N_P}.

Work placement(s)

Organizational remarks

Contacts

Instructor : Pascal Dupont, HEC-École de Gestion de l'ULg, Rue Louvrex 14, 4000 Liège (Building N1, room 327). Phone : +32 4 232 73 03 ; Email: pascal.dupont@uliege.be

Assistant : Anne-Sophie Hoffait, HEC-École de Gestion de l'ULg, Rue Louvrex 14, 4000 Liège (Building N1, room 334). Phone : +32 4 232 73 75 ; Email: ashoffait@uliege.be