Intégration et Applications
Objectives
To give the mathematical basis essential to any engineer concerning the theory of measurement, integration and the Fourier transform. These basics will be useful in several courses such as signal processing, image processing, telecommunications, data analysis, partial differential equations,...
Description
* Introduction to measure theory
* Construction of the Lebesgue integral
* Main integration theorems (dominated convergende, Fubini,...)
* Fourier transform in L1/L2
* Convolution, filtering
* Distributions, Fourier transform of distributions.
Targeted skills
To know and manipulate the basic mathematical tools used in various other disciplines (PDE, signal and image processing,...
Bibliography
Analyse de Fourier et Applications - Auteusr : C. Gasquet, P. Witomski - Editeur : Masson , 1995
Session 1 ou session unique - Contrôle des connaissances
Modalité | Nature | Coefficient | Remarques |
---|---|---|---|
CC (contrôle continu) | Oral/Ecrit | 100% | Examen Intégration et applications |
Session 2 - Contrôle des connaissances
Modalité | Nature | Coefficient | Remarques |
---|---|---|---|
CC (contrôle continu) | Oral/Ecrit | 100% | Examen Intégration et applications |