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Analysis

1IAC4 Analysis Computer Science - Apprenticeship S5
Lessons : 10 h TD : 14 h TP : 0 h Project : 0 h Total : 24 h
Co-ordinator : Patricia Jouannot-Chesney
Prerequisite
Complex numbers, trigonometric functions, derivatives and integrals
Course Objectives
The objective of this course is to give some elementary mathematical knowledge compulsory to engineers.
Syllabus
I. Integral calculation : change of variables, integration by parts ...
II. Fourier series
III. Fourier transforms : definition and properties : inverse, convolution, shifting and scaling, derivatives, Parseval's relation
Practical work (TD or TP)
Non renseigné
Acquired skills
After this teaching, students are expected to be able to calculate Fourier series and Fourier transforms for some elementary functions.
Bibliography
P. BENICHOU, R. BENICHOU, N. BOY, JP POUGET. Série de Fourier, Transformation de Laplace. Ellipses, 1995.
F. RODDIER. Distributions et transformation de Fourier. Mc Graw-Hill, 1988.
http://mathworld.wolfram.com/
http://fr.wikipedia.org/wiki/Portail:Mathématiques

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