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Algèbre Linéaire (Partie 2)
Course
fr
French
30 h
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- Self-paced
- Free Access
- Fee-based Certificate
- 5 Sequences
- Introductive Level
Course details
Syllabus
A la fin du cours, l'étudiant sera capable:
- de définir les concepts théoriques introduits en cours et d'en donner des exemples illustratifs ;
- de reconnaître une application linéaire et de définir les notions de base associées à un tel objet (e.g. noyau, image) ;
- d’étudier les applications linéaires d'espaces vectoriels de dimension finie à l'aide des représentations matricielles ;
- de calculer le déterminant d'une matrice donnée et d'utiliser les propriétés de cet objet à bon escient ;
- de maîtriser les notions relatives à la diagonalisation (e.g. valeurs/vecteurs/espaces propres, multiplicité algèbrique/géométrique, polynôme caractéristique) ;
- de déterminer si un opérateur linéaire donné est diagonalisable ou non ;
- d’appliquer la méthode de diagonalisation à un opérateur linéaire donné.
Prerequisite
Baccalauréat/maturité fédérale, maîtrise de l'algèbre enseignée au lycée/gymnase, bonne connaissance de la matière enseignée dans le MOOC
.Instructors
Donna Testerman
Claude Marion
Mikaël Cavallin
Editor
The École polytechnique fédérale de Lausanne (EPFL, English: Swiss Federal Institute of Technology in Lausanne) is a research university in Lausanne, Switzerland, that specialises in physical sciences and engineering.
One of the two Swiss Federal Institutes of Technology, the school was founded by the Swiss Federal Government with the stated mission to:
Educate engineers and scientists to the highest international standing
Be a national center of excellence in science and technology
Provide a hub for interaction between the scientific community and the industry
EPFL is considered one of the most prestigious universities in the world for engineering and sciences, ranking 17th overall and 10th in engineering in the 2015 QS World University Rankings; 34th overall and 12th in engineering in the 2015 Times Higher Education World University Rankings.
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