Teacher(s)
. SOMEBODY; Glineur François; Jungers Raphaël; Remacle Jean-François; Verleysen Michel (coordinator); Wertz Vincent (compensates Verleysen Michel);
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.
Learning outcomes
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 activities are dedicated to questions related with sustainable development.
Some of the above activities (lectures, exercise sessions, problem based learning) may be organised on line.
Some activities are dedicated to questions related with sustainable development.
Evaluation methods
The written examination will cover the learning outcomes. Two assignments (peer-reviewed) to be carried out during the term are compulsory; these two assignments, including their evaluation, may count for the January exam session only. If a lecture is cancelled because of a conflict of agenda, an activity to achieve remotely may be required, which might also count for the (january) exam.
Online resources
Bibliography
Le syllabus constitute le support de cours obligatoire. Une référence supplémentaire intéressante à conseiller est:G. Strang, Introduction to linear algebra, 5th edition, Cambridge University Press
Teaching materials
- syllabus (cours + exercices)
Faculty or entity
