4.00 credits
30.0 h + 15.0 h
Q2
Teacher(s)
Lavendhomme Thierry;
Language
French
Prerequisites
The prerequisite(s) for this Teaching Unit (Unité d’enseignement – UE) for the programmes/courses that offer this Teaching Unit are specified at the end of this sheet.
Learning outcomes
At the end of this learning unit, the student is able to : | |
| The themes studied are those found in standard textbooks on matrix calculation or linear algebra. The course also provides an introduction to linear programming. The course can be presented as a framework for generalizing an extremely simple model: proportionality between two variables, y=ax (in order to produce an output equal to x, a quantity y of an input is required, in constant proportion a to the output). Another objective is to familiarise students with the calculating power of matrix formalism. |
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Content
Linear equations & linear algebra.
Linear programming
Matrix algebra
Determinants
Vector spaces
Eigenvalues and eigenvectors
Orthogonality and least squares
Symmetric matrices and quadratic forms
Linear programming
Matrix algebra
Determinants
Vector spaces
Eigenvalues and eigenvectors
Orthogonality and least squares
Symmetric matrices and quadratic forms
Teaching methods
All parts of the course with the exception of the part dealing with linear programming, are based on the book : «Algèbre linéaire et applications», par David Lay, Pearson, 2012. The book is available from the reprographics unit.
The reference book contains a large number of examples and exercises some of which also provide answers. Students are also expected to undertake personal study.
The reference book contains a large number of examples and exercises some of which also provide answers. Students are also expected to undertake personal study.
Evaluation methods
Summative assessment / The examination is closed book / An exam form is distributed at the examination.
The examination includes questions to assess student’s basic understanding, cross-cutting questions as well as exercise-style questions similar to those worked on in class. In most cases, questions test both theoretical knowledge and applied skills.
The examination includes questions to assess student’s basic understanding, cross-cutting questions as well as exercise-style questions similar to those worked on in class. In most cases, questions test both theoretical knowledge and applied skills.
Other information
Course notes for linear programming are available at the reprographics unit.
Bibliography
« Algèbre linéaire et applications », par David Lay, Pearson, 2012. (Disponible à la reprographie).
Faculty or entity
ESPB
