This course enables students to manipulate complex numbers and explore their properties to perform calculations and solve equations. They also develop an understanding of geometric transformations such as translations, rotations and homothety. This module introduces students to vector spaces and helps them understand concepts like linear independence, basis, and dimension. Linear transformations and matrices play a central role in this course. students examine the properties of linear transformations by learning how to find the kernel and image of these transformations and identify endomorphisms, automorphisms and isomorphisms. They also learn to represent these transformations using matrices. Additionally, they master the computation of determinants, which play a key role in the study of linear systems and their solutions. By acquiring these knowledge and skills, students are able to solve real-world problems and apply their knowledge in fields such as science, engineering and computer science.

Temps présentiel : 60 heures

Charge de travail étudiant : 140 heures

Méthode(s) d'évaluation : Examen écrit