• Level of Education

    2 years of post-secondary education

  • ECTS

    6 credits

  • Training Structure

    College of Sciences

  • Number of hours

    54h

Description

This course builds on the mathematics covered in the first year (L1) and thefirst semester of the second year (L2). Students will study the mathematical tools in linear and bilinear algebra that are essential for physicists. Next, differential equations and Fourier analysis will be covered. Finally, all the mathematical knowledge acquired in the second year will be applied to solve physics problems analytically or using computer software.

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Objectives

Learn how to use the mathematical tools employed in physics. More specifically, by the end of this course unit, students will be able to apply linear and bilinear algebraic tools. In addition, they will be able to apply these mathematical tools to real-world physics examples, as well as use Fourier analysis (as illustrated by signal processing) and differential equations. 

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Class Hours

  • Mathematical Tools S4 - TutorialTutorials31.5 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 (Basics)

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Knowledge Assessment

Course Outline

Vector Spaces

Linear Applications

Matrices and Determinants

Diagonalization, trigonization

Bilinear 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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