Level of education
two years of postsecondary education
ECTS
6 credits
Training structure
Faculty of Science
Hours per week
54h
Description
This course builds on the mathematics taught in the first year and thefirst semester of the second year. Students will study the mathematical tools required by physicists in linear and bilinear algebra. They will then move on to differential equations and Fourier analysis. Finally, all of the mathematical knowledge acquired in L2 will be applied to solve physics problems analytically or with the help of computer tools.
Objectives
Learn how to use the mathematical tools used in physics. More specifically, by the end of this course, students will be able to use linear and bilinear algebra tools. They will also know how to apply mathematical tools to real-life physics examples, as well as how to use Fourier analysis (illustrated by signal processing) and differential equations.
Teaching hours
- Mathematical Tools S4 - TutorialsTutorials31.5 hours
- Mathematical Tools S4 - CMLecture22.5 hours
Mandatory prerequisites
Mathematical Tools for Physics: Fundamentals of Calculus (differential and integral) and Analysis (sequences and series)
Python programming (basic)
Knowledge assessment
CCI
Syllabus
Vector spaces
Linear applications
Matrices and determinants
Diagonalization, trigonization
Bilinomial forms, quadratic forms
Scalar product and norm
Differential equations
Fourier Transform and Signal Processing
Application of mathematical tools to common or complex physics problems