Study Programmes 2016-2017
MATH0057-3  
Mathematics for economic and management sciences (part 2)
Duration :
30h Th, 30h Pr
Number of credits :
Bachelor in economics and business management5
Lecturer :
Pascal Dupont
Language(s) of instruction :
French language
Organisation and examination :
Teaching in the first semester, review in January
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@ulg.ac.be
Assistant : Anne-Sophie Hoffait, HEC-École de Gestion de l'ULg, Rue Louvrex 14, 4000 Liège (Building N1, room 306). Phone : +32 4 232 73 75 ; Email: ashoffait@ulg.ac.be