Algebra

lsinc1112  2025-2026  Charleroi

Algebra
5.00 credits
30.0 h + 30.0 h
Q2
> Schedule

  This learning unit is not open to incoming exchange students!

Teacher(s)
Guérit Stéphanie;
Language
French
Prerequisites
This course assumes that you have acquired the skills of the end of secondary school allowing you to translate a problem into a system of equations with several variables and to solve it.
Main themes
The course emphasizes:
  • the understanding of mathematical tools and techniques based on a rigorous learning of the concepts favored by the highlighting of their concrete application,
  • the rigorous manipulation of these tools and techniques within the framework of concrete applications.
Subjects covered:
  • Matrix calculation
  • Solving Systems of Linear Equations
  • Linear algebra
Learning outcomes

At the end of this learning unit, the student is able to :

S1.G1 S1I3 S2.2
With regard to the AA reference system of the "Bachelor in Computer Science" program, this course contributes to the development, acquisition and evaluation of the following learning outcomes:
  • S1.G1, S1I3 
  • S2.2
Students who successfully complete this course will be able to:
  • properly use mathematical notations and basic concepts (linear independence, solving linear equations, least squares method, etc.);
  • formulate practical problems (such as clustering, data fitting, study of population dynamics, etc.) as linear systems;
  • solve linear systems and/or study their dynamics using linear algebra tools as well as numerical tools;
  • interpret the results based on both intuition and a deep knowledge of the mathematics behind;
  • implement basic algorithms (k-means, Gram-Schmidt, QR factorization, etc.) and compute their complexity.
 
Evaluation methods
Students are assessed individually during a written exam on the basis of the learning outcomes announced above. In addition, homework or project results will be incorporated into the final grade (4 points out of 20 points). The exact terms and conditions will be specified during the course.
Online resources
Moodle website for the course
Book used for the course available online
Bibliography
S. Boyd et L. Vandenberghe, Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares, Cambridge University Press, 2018.
Teaching materials
  • S. Boyd et L. Vandenberghe, Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares, Cambridge University Press, 2018.
Faculty or entity
> SINC


Programmes / formations proposant cette unité d'enseignement (UE)

Title of the programme
Sigle
Credits
Prerequisites
Learning outcomes
Bachelor in Computer Science
SINC1BA
5