Teacher(s)
. SOMEBODY; Glineur François; Jungers Raphaël; Remacle JeanFrançois; Verleysen Michel (coordinator);
Language
French
Main themes
Linear algebra : linear equation systems, matrix calculus, linear applications, euclidean spaces, vector spaces on a field, linear sequences, quadratic forms. Modelling and solving of simple problems.
Aims
At the end of this learning unit, the student is able to :  
1 
Contribution of the course to the program objectives Regarding the learning outcomes of the program of Bachelor in Engineering, this course contributes to the development and the acquisition of the following learning outcomes:
At the end of the course the students will be able to

Content
 Systems of linear equations,
 Matrix calculus,
 Vector spaces,
 Linear applications,
 Euclidean spaces, orthogonal projection and approximation problems,
 Linear operators, eigenvectors and diagonalization, Jordan form and matrix exponential
 Adjoint operator, spectral theorem, quadratic forms, law of inertia,
 Sequences and series, linear differential equations
Teaching methods
Lectures in auditorium, supervised exercise sessions and problem based learning, possibly supplemented with writing assignments and online exercises.
Some of the above activities (lectures, exercise sessions, problem based learning) may be organised on line.
Some of the above activities (lectures, exercise sessions, problem based learning) may be organised on line.
Evaluation methods
The written examination will cover the learning outcomes. Two placement tests at the beginning and end of S1, as well as 2 assignments (peerreviewed) to be carried out during the term, are compulsory; these four activities, evaluated globally, count for 1 point out of 20.
Online resources
Bibliography
 G. Strang, Introduction to linear algebra, 5th edition
Teaching materials
 G. Strang, Introduction to linear algebra, 5th edition
Faculty or entity