 |  |
| MATH0013-1 | Algebra
 |
 |
| Duration : | 30h Th, 20h Pr |
 |
| Credits/ECTS : |
|
 |
| Holder(s) : | Eric Delhez |
 |
| Language : | French language |
 |
| Course contents : | The course covers the following topics
- Matrix algebra : determinant, inverse matrix, normal, hermitian, unitary matrices...
- Linear algebra : linear application, rank, basis, linear independence, linear systems, eigenvalues, eigenvectors, quadratic forms,...
- Discrete mathematics : mathematical induction, congruence, difference equations, counting, graph theory...
|
 |
| Course objective : | Mastery of the matrix formulation of mathematical problems and introduction to discrete mathematics issues. |
 |
| Prerequisites : | Algebra of real and complex numbers |
 |
| Organization : | Lectures : 30 hours - Exercices : 20 hours. First semester. |
 |
| Written notes : | Algèbre, E.J.M. DELHEZ (2 volumes in french). Lecture notes distributed by the AEES. |
 |
| Assessment : | A written test in January. A note higher than or equal to 10/20 gives right to a total exemption for the final test in May/June. Notes less than 10/20 are discarded.
A written test in May/June.
Written examination in August/September (retakes).
Open book exam for the discrete mathematics part. |
 |
| Contacts : | Eric J.M. DELHEZ Institut de Mathématique, B37 Tél. 04/366.94.19
E.Delhez@ulg.ac.be |
 |
| Remarks : | Detailed information at
http://www.ulg.ac.be/mathgen/cours/algebre/algebre.html |
 |

|
|  |