Aller au menu Aller au contenu
A new generation of engineers

Paper, print media and biomaterials

A new generation of engineers
A new generation of engineers

> Education

Mathematics II : Mathematics tools - 3FME1007

A+Augmenter la taille du texteA-Réduire la taille du texteImprimer le documentEnvoyer cette page par mail cet article Facebook Twitter Linked In
  • Number of hours

    • Lectures : 6.0
    • Tutorials : 12.0
    • Laboratory works : 0
    • Projects : 0
    • Internship : 0
    ECTS : 22.0

Goals

Learning outcomes :

To apply Laplace and Fourier transformations to solve problems that can be presented as linear differential equations with constant coefficients (see example of the automation of linear and continuous systems), using complex numbers and polynomial roots to obtain simplified rational fractions of polynomials

Contact Jean-Claude ROUX

Content

Applications of Laplace and Fourier Transforms.
Very often, in process engineering, the physical phenomena are described by linear differential équations where the coefficients are constant. The main objective of the course is to apply the Laplace transform in order to solve analytically this class of problems. The process control theory of linear dynamical systems is given as a matter of exemple. The symetrical character of the main theorems is also exemplified.



Prerequisites

Mathematics I: complex numbers, polynoms and their roots, rational fraction, mainly linear differential equation, integration methods

Tests

Exam controlled of 1h30



Note du DS

Additional Information

Curriculum->Pagora Engineer - Student->Semester 6


Sécurité-Environnement

A+Augmenter la taille du texteA-Réduire la taille du texteImprimer le documentEnvoyer cette page par mail cet article Facebook Twitter Linked In

Date of update July 23, 2020

Université Grenoble Alpes