Goals

This course consists in a first numerical approach of the Linear Algebra I course. Direct and iterative methods are introduced by means of handwritten algorithms and numerical implementations using Matlab software. Systems of linear equations, eigenvalues and singular values, linear least-squares problem and linear optimization are studied.

Table of contents

Chap 1: Systems of linear equations - Chap 2: Eigenvalues and singular values - Chap 3: Linear least-squares problem - Chap 4: Linear optimization.

Assessment method

Assessment comprises a written exam (3h) and group work (GW).

The written exam accounts for 80% of the final grade, the GW for 20%.

The GW will be organised during one or two tutorial sessions dedicated to this assessment. Students wishing to be assessed on the GW component must therefore attend these tutorials. 

Sources, references and any support material

Syllabus.

Useful books:

  • Linear algebra and its applications, Gilbert Strang, Academic Press;
  • Applied linear algebra, Peter J. Olver and Chehrzad Shakiban, Springer.

 

 

Language of instruction

Français
Training Study programme Block Credits Mandatory
Bachelor in Mathematics Standard 0 3
Bachelor in Mathematics Standard 2 3