5 credits
30.0 h + 30.0 h
Q1
Teacher(s)
Glineur François; Jungers Raphaël; Remacle JeanFrançois; SOMEBODY; Wertz Vincent 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:
Specific learning outcomes of the course At the end of the course the students will be able to

The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
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.
Evaluation methods
Students will be evaluated with an individual written exam, based on the abovementioned objectives. Results from continuous assessment may also be taken into account for the final grade. The exact modalities will be specified in class.
Online resources
https://moodleucl.uclouvain.be/course/view.php?id=12098
Bibliography
 G. Strang, Introduction to linear algebra, 5th edition
 G. Strang, Introduction to linear algebra, 5th edition
Teaching materials
 G. Strang, Introduction to linear algebra, 5th edition
Faculty or entity
BTCI