Number of hours
- Lectures 18.0
- Projects -
- Tutorials 18.0
- Internship -
- Laboratory works -
- Written tests 2.5
ECTS
ECTS 0.3
Goal(s)
Fourier analysis and probabilities allow to manipulate the mathematical tools essential to other engineering sciences: Fourier analysis is essential for signal processing and solving partial differential equations, probabilities for statistics and data processing.
Content(s)
FOURIER ANALYSIS
1. Fourier series
Fourier series of a periodic function and Parseval theorem
Fourier series of a periodic function and Dirichlet theorem
2. Fourier transform
Fourier transform basic properties
Fourier transform inversion theorem
Plancherel theorem
Fourier transform and convolution
PROBABILITY
Conditional probability and independence
Discrete random variables
Continuous
random variables
Characteristic function of a random variable
Central limit theorem
Integral calculus, series, differential calculus, elementary probability theory.
Test
CC, EXAM
Calendar
The course exists in the following branches:
- Curriculum - GGC - Semester 6
- Curriculum - GeRi - Semester 6
- Curriculum - IESE - Semester 6
- Curriculum - INFO - Semester 6
- Curriculum - MAT - Semester 6
- Curriculum - TIS - Semester 6
- Curriculum - COMMON CORE - Semester 6
Additional Information
Course ID : KAX6MATC
Course language(s): 
You can find this course among all other courses.
Bibliography
analyse de Fourier: Spiegel, Murray Ed. Schaum
probabilités :Vigneron, Logak ; Ed. Diderot
exercices de probabilités: licence, maîtrise et écoles d'ingénieurs(Cottrell...
chez Cassini)