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.
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.
Necessary pre-requisites
Mathematical tools for physics: Basics of calculus (differential and integral) and analysis (sequences and series)
Python programming (basic)
Knowledge control
CCI
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