Due to the COVID19 crisis, the information below is subject to change,
in particular that concerning the teaching mode (presential, distance or in a comodal or hybrid format).
5 credits
30.0 h + 30.0 h
Q1
Teacher(s)
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
Due to the COVID19 crisis, the information in this section is particularly likely to change.
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.
Evaluation methods
Due to the COVID19 crisis, the information in this section is particularly likely to change.
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.In case of doubt after the written exam, some students may be invited to pass an oral exam.
The students presenting only a part of the course (partims A and B) may undergo an oral exam instead of a written one.
Online resources
https://moodleucl.uclouvain.be/course/view.php?id=12098
Bibliography
 G. Strang, Introduction to linear algebra, 5th edition
Teaching materials
 G. Strang, Introduction to linear algebra, 5th edition
Faculty or entity
Force majeure
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.
In case of doubt after the written exam, some students may be invited to pass an oral exam.
The students presenting only a part of the course (partims A and B) may undergo an oral exam instead of a written one.
In case of doubt after the written exam, some students may be invited to pass an oral exam.
The students presenting only a part of the course (partims A and B) may undergo an oral exam instead of a written one.