 | | |
| MATH0058-2 | Mathematics for management engineers : part I
|
|
| Duration : | 80h Th, 25h Pr |
|
| Number of credits : |
|
|
| Lecturer : | Jacques Bair |
|
Language(s) of instruction :
|
| French language |
|
Course contents :
|
| There are two parts :
1) Calculus : real and hyperreal numerical lines; continuity, derivability, differentiation, primitivation and integration for functions of one real variable (with a non-standard approach), numerical sequences and series, numerical analysis.
2) Linear algebra : algebra for vectors and matrices ; linear systems ; characteristic values and vectors ; diagonalisation ; quadratic forms (without and with constraints) ; markov's chains ; generalized inverse ; linear programming ; theory of games. |
|
Learning outcomes of the course :
|
| To learn to be rigorous, to use mathematics in management, to solve concrete problems, to introduce to mathematical models. |
|
Prerequisites and co-requisites/ Recommended optional programme components :
|
| Principles of mathematical reasonings ; elementary algebra, ; basic trigonometry and geometry ; theory of real numbers. |
|
Planned learning activities and teaching methods :
|
| Exercises in several groups. |
|
Mode of delivery (face-to-face ; distance-learning) :
|
| Semester 1 : calculus.
Semester 2 : linear algebra. |
|
Recommended or required readings :
|
| Analyse infinitésimale : le calculus redécouvert, par J. Bair et V. Henry ; éditions Academia-Bruylant, Louvain-la-Neuve, 2008.
Algèbre linéaire, par J. Bair ; éditions de l'Université de Liège.
Exercices on the site LOLA. |
|
Assessment methods and criteria :
|
| The final examination includes two equal parts :
a) theory, exercises and problems about mathematical analysis (written exam in january or/and june for the first session, in august/september for the second session);
b) theory, exercises and problems about linear algebra (written exam in june for the first session, in august/september for the second session). |
|
Contacts :
|
| Bair J., 1/49 ; tél. : 04/366.30.18 ; e-mail : J.Bair@ulg.ac.be.
Henry V., 1/51; tél. : 04/366.27.36 ; e-mail : V.Henry@ulg.ac.be. |
|
