# Algebra

linfo1112  2021-2022  Louvain-la-Neuve

Algebra
5 credits
30.0 h + 30.0 h
Q2
Teacher(s)
Craeye Christophe; Peters Thomas (compensates Vitale Enrico); Vitale Enrico;
Language
French
Prerequisites
This course assumes that the student already masters the skills of end of secondary allowing to translate a problem into a system of equations with several variables and to solve it.
Main themes
The course focuses on :
• the understanding of mathematical tools and techniques based on a rigorous learning of concepts favored by highlighting their concrete application,
• the rigorous manipulation of these tools and techniques in the context of concrete applications.
Matrix calculation
• transposition,
• operation on  matrices,
• rank and resolution of a linear system,
• inversion,
• determinant
Resolution of linear equation systems
• Matrix writing of a system of linear equations
• Basic operations on the lines
• Elimination of Gauss-Jordan
• LU Factoring
• Implementation of Linear Equation System Resolution Algorithms
Linear algebra
• vectors, vector operations,
• vector spaces (vector, independence, base, dimension),
• linear applications (applications to transformations of the plan, kernel and image),
• eigenvectors and eigenvalues (including applications)
Aims
 At the end of this learning unit, the student is able to : 1 Given the learning outcomes of the "Bachelor in Computer science" program, this course contributes to the development, acquisition and evaluation of the following learning outcomes: S1.G1 S2.2 Students who have successfully completed this course will be able to: Model concrete problems using matrices and vectors; Solve concrete problems using matrix calculation techniques (in particular the resolution of linear systems); Reason using correctly the mathematical notation and methods keeping in mind but exceeding a more intuitive understanding of the concepts.
Faculty or entity

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

Title of the programme
Sigle
Credits
Prerequisites
Aims
Bachelor in Computer Science

Master  in Data Science : Statistic 