MATH0492-1 : Linear algebra

Study Programmes 2015-2016

MATH0492-1

Linear algebra

Duration :

25h Th, 25h Pr

Number of credits :

Bachelor in computer science		5

Lecturer :

Georges Hansoul

Language(s) of instruction :

French language

Organisation and examination :

Teaching in the second semester

Units courses prerequisite and corequisite :

Prerequisite or corequisite units are presented within each program

Course contents :

Classical linear algebra.
- Vector space : definition and various examples;
- Subspaces, linear dependancy, span;
- Dimension of a vector space, basis of a vector space;
- Linear map between vector spaces, associated matrices, base change formulas;
- Rank, kernel and image of a linear map, links between these concepts, rank of the transpose of a matrix;
- Determinant of a matrix, inverse matrix and invertibility criteria;
- Eigenvalues and eigenvectors of a linear operator.
Two classical applications :
1) Linear systems of equations,
2) Linear reccurent equations.

Learning outcomes of the course :

The object of the course is twofold :
1) give a basic knowledge of linear algebra,
2) lead from concrete objects to abstract concepts.

Prerequisite knowledge and skills :

Course MATH0491-1 or equivalent.

Planned learning activities and teaching methods :

The exercice lessons have a double objective : first illustrate the concepts and results of the theoretical part, and second provide applications of the theory.

Mode of delivery (face-to-face ; distance-learning) :

Wednesday morning at the Mathematical Institute, B37.