Algebra

linfo1112  2019-2020  Louvain-la-Neuve

Algebra
Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
30.0 h + 30.0 h
Q2
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.
 

The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
Faculty or entity


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

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

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