Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
30.0 h + 30.0 h
Q1
Teacher(s)
Glineur François; Jungers Raphaël; Remacle Jean-François; 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:
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 above-mentioned 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
Teaching materials
- G. Strang, Introduction to linear algebra, 5th edition
Faculty or entity
BTCI
