• 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.

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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. 

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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)

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Knowledge assessment

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 

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