• Level of study

    BAC +2

  • ECTS

    6 credits

  • Component

    Faculty of Science

  • Hourly volume

    54h

Description

This course is a continuation of the mathematical courses of L1 and thefirst semester of L2. The mathematical tools necessary for the physicist in linear and bilinear algebra will be studied. Then, differential equations and Fourier analysis will be studied. Finally, all the mathematical knowledge acquired in L2 will be used to solve physics problems analytically or with the help of computer tools.

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Objectives

To learn to manipulate the mathematical tools used in physics. More particularly, at the end of this course, the student will be able to manipulate the tools of linear and bilinear algebra. On the other hand, they will be able to apply mathematical tools to real physics examples, as well as to use Fourier analysis (illustrated by signal processing) and differential equations. 

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Necessary pre-requisites

Mathematical tools for physics: Basics of calculus (differential and integral) and analysis (sequences and series)

Python programming (basic)

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Knowledge control

Syllabus

Vector spaces

Linear applications

Matrices and determinants

Diagonalization, trigonalization

Bilinear forms, quadratic forms

Scalar product and norm

 

Differential equations

Fourier Transform and Signal Processing

Implementation of mathematical tools in common or complex physics problems 

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