Travaux dirigése et exercice de algébre 1 mip S1

Dans ce cours Travaux dirigése, nous étudions dans le premier chapitre logique et Ensembles ET Applicationsles. Dans le deuxième chapitre Polynômes et Fractions rationnelles ,Dans le trousième chapitre Espaces vectoriels et applications linéaires quatreième chapitre Calcul matriciel et systèmes linéaires

Travaux dirigése et exercice de algébre 1 mip S1

logique et Ensembles ET Applications Polynômes et Fractions rationnelles Espaces vectoriels et applications linéaires Calcul matriciel et systèmes linéaires Structure de groupe

Les éléments du Module
Chapitre : logique et Ensembles ET Applications
Chapitre : Polynômes et Fractions rationnelles
Chapitre: Espaces vectoriels et applications linéaires
Chapitre : Calcul matriciel et systèmes linéaires
Chapitre : Structure de groupe

Programme

Chp. 1- Fondements de Mathématiques

Eléments de logique, vocabulaire ensembliste, différents modes de raisonnements, propriétés des applications, relations d’équivalence, relations d’ordre.

Chp. 2- Factorisation des polynômes

Rappels sur les nombres complexes. Factorisations des polynômes dans IR[X] et C[X]

Chp. 3- Décomposition en éléments simples des fractions rationnelles

Décomposition en éléments simples des fractions rationnelles dans IR(X) et C(X).

Chp. 4- Calcul matriciel et résolution des systèmes linéaires par la méthode de Gauss.

Calcul matriciel. Résolution des systèmes linéaires par la méthode de Gauss.

Chp. 5- Espaces vectoriels et applications linéaires.

Espaces vectoriels. Applications linéaires.

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