Fourier analysis and matrix calculus - KAEL6M01

  • Number of hours

    • Lectures 30.0
    • Projects -
    • Tutorials 20.0
    • Internship -
    • Laboratory works -
    • Written tests 2.0

    ECTS

    ECTS 0.6

Goal(s)

Mathematics are basic tools for the understanding of other ingeneer fields : differential calculus, matrix calculus, Fourier analysis.

Content(s)

1. LINEAR ALGEBRA :
Basic operations on a rectangular matrix,
Gauss algorithm and applications,
The matrix of a linear transformation and the change-of-basis matrix,
Inversion of a matrix and calculus of a determinant,
matrix diagonalisation.

2. BILINEAR ALGEBRA :
Scalar product,
Orthogonal projection,
Gram Schmidt orthonormalisation.

3. DIFFERENTIAL CALCULUS.

4.FOURIER ANALYSIS :

Fourier series,
Parseval theorem,
Dirichlet theorem.

Fourier transform,
Fourier transform inversion theorem,
Parseval theorem,
Fourier transform and convolution.

Prerequisites

vectors, integrals

Test

CC, EXAM

Calendar

The course exists in the following branches:

  • Curriculum - E2I - Semester 6

Additional Information

Course ID : KAEL6M01
Course language(s): FR

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