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.
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.
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)
Knowledge Assessment
CCI
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