Mathematical tools S4

This course is a continuation of the mathematics taught in L1 and the^1st semester of L2. The mathematical tools required by physicists in linear and bilinear algebra will be studied. Next, differential equations and Fourier analysis will be covered. Finally, all the mathematical knowledge acquired in L2 will be applied to the solution of physics problems, either analytically or with the aid of computer tools.

Learn to manipulate the mathematical tools used in physics. More specifically, at the end of this course, students will be able to manipulate linear and bilinear algebra. They will also be able to apply mathematical tools to real physics examples, and to use Fourier analysis (illustrated by signal processing) and differential equations. 

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

Python programming (basic)

CCI

Vector spaces

Linear applications

Matrices and determinants

Diagonalization, trigonalization

Bilinear forms, quadratic forms

Scalar product and norm

Differential equations

Fourier Transform and Signal Processing

Applying mathematical tools to common or complex physics problems