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AccueilCPIS3 · MATHEMATIQUES
E2CP3MT2

Mathematics for Engineers III-b

FR EN ⬇ PDF
RéférentVincent FONTAINE
ECTS1.5
CM / TD / TP6 / 10 / 0
Typematiere

Viable
Viable100%
Complète71%
Manque pour « complète »
  • Bibliographie
  • Prérequis
  • Supports
  • Version EN relue

But du cours

Master the Laplace transform and its applications in an engineering problem

Acquis d'apprentissage visés

  • Know how to use the Laplace transform to solve a system
  • Know how to define the Laplace transform

Programme

  • Laplace Transform
  • Definition
  • Heaviside function
  • Causal function
  • Fundamental properties: linearity, damping, delay, scaling
  • Laplace transform of the derivative
  • Laplace transform of higher-order derivatives
  • Laplace transform of a primitive
  • Laplace transform of a convolution product
  • Inverse Laplace transform
  • Common Laplace transforms
  • Solving linear differential equations using the Laplace transform

Modalités d'évaluation

2 Written exams (2h/2h)