Mathematics for economics and management III

Teacher(s)

Uyttendaele Nathan;

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 :

understand and explain the basic techniques of matrix calculus and linear algebra; solve exercises involving these techniques and interpret the results obtained; apply these methods to solving problems encountered in economics and management. explain matrix formalism and its importance as a calculational tool.

Content

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

Teaching methods

All chapters of the course, with the exception of the one covering linear programming, are based on the textbook: Linear Algebra and Its Applications (Algèbre linéaire et applications) by David Lay, Pearson, 2012. In principle, the book will be available at the campus print shop (reprography service).
The reference textbook contains a vast number of examples and exercises, some of which include solutions. Students are expected to engage in independent study to thoroughly read and master the book's material.

Evaluation methods

At the end of the semester, a paper exam will be held. The exam is closed-book. A formula sheet, also available on the course's Moodle page, will be provided during the exam. The same conditions apply to the second exam session (resits).
The exam will include basic knowledge questions, cross-cutting questions, and exercises similar to those completed in class sessions. Most often, theory and practice are intertwined within the questions.
The use of artificial intelligence during the assessment is strictly prohibited.

Bibliography

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

Teaching materials

• « Algèbre linéaire et applications », par David Lay, Pearson, 2012. (Disponible à la reprographie) + quelques notes sur Moodle de votre professeur.

Faculty or entity

> ESPB