Face-to-face , second term, 30 hours of theory and 15 hours of exercises.

Second term
Tuesday from 10:45 to 12:15 at 109 Marais 301
Thursday from 15:45 to 17:15 at 109 Marais 301

French

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.

For the Bachelor in Economics and Management :

For the Bachelor : Business Engineering :

For the Bachelor in Economics and Management :

None

Linear equations & linear algebra.
Linear programming
Matrix algebra
Determinants
Vector spaces
Eigenvalues and eigenvectors
Orthogonality and least squares
Symmetric matrices and quadratic forms

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.

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.

"Algèbre linéaire et applications", par David Lay, Pearson, 2012. (Disponible à la reprographie).

Course notes for linear programming are available at the reprographics unit.