Mathématiques de l’ingénieur 1

Course Features

Course Details

Mathématiques de l’ingénieur 1
code FUN3101

Sommaire:

Cette  unité initie les étudiants aux mathématiques du calcul différentiel et à ses applications en ingénierie. Des exemples de cours sont fournis pour soutenir l'apprentissage de l'élève.  
Code FUN3101 Mathématiques de l’ingénieur 1  
Volume Horaire            : 2 h de  Cours intégrés + 1h:00  TD (par semaine)

Objectifs d’apprentissage et compétences visées

 
  • Acquérir les connaissances de bases la résolution de problème des équations d’évolution et
de questions dynamiques
  • Modélisation
  • Techniques de calcul
 

Contenu du  cours

 
  • Réduction des endomorphismes et des matrices carrées
    • Diagonalisation
    • Trigonalisation
    • Systèmes récurrents
  • Intégrales généralisées : Existence et techniques de calculs
  • Transformée de Fourier
  • Transformée de Laplace ; application à la résolution de quelques équations différentielles
 

Méthodes d’enseignement et d’apprentissage

  - Enseignement frontal (magistral) avec des exemples à résoudre en commun. - Exercices théoriques et études de cas (présentation et discussion).   

Connaissances et compétences pré-requises

 
  • Mathématiques niveau prépa
  • Licence avec un certain courage intellectuel !
 

Références bibliographiques

 
  • Programme du premier cycle « Mathématiques » INSA,
  • Thomas Cluzeau « Mathématiques pour l’ingénieur », Ecole Nationale Supérieure d’Ingénieurs de Limoges.
  • Fahd Kaghat « Cours de mathématiques pour l’ingénieur », Faculté des Sciences et  Techniques de Fès (Maroc).
Lecture indicative
  • Core Mathematics for Advanced Level, L. Bostock et S. Chandler, Nelson Thornes (Publishers) Ltd., 2000, ISBN 0 7487 55098.
   

Modalité d’évaluation

 
  • 40% Contrôle continu (TP noté, Test, Assiduité, Devoir surveillé, travaux non présentiel, …)
  • 60% Examen semestriel
   

Résultats d'apprentissage :

1 - Démontrer une connaissance du calcul à un niveau convenant aux cours de niveau 4 ; 2-  Appliquer ces connaissances à la résolution de problèmes élémentaires ; 3 - Entreprendre une étude plus approfondie de ces sujets. 4-  Démontrer sa capacité à gérer son temps
This course does not have any sections.

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