linfo1113  2018-2019  Louvain-la-Neuve

6 credits
30.0 h + 30.0 h
Q1

  This learning unit is not being organized during year 2018-2019.

Language
French
Prerequisites
This course assumes that the student already masters the basics of programming (instructions, variables, loops, conditions, ...) and programming methodology as taught in courses LINFO1101 or LEPL1401.
The basic notions of algebra and analysis covered by courses LINFO1111 and LINFO11112 should also be mastered.

The prerequisite(s) for this Teaching Unit (Unité d’enseignement – UE) for the programmes/courses that offer this Teaching Unit are specified at the end of this sheet.
Main themes
  • Representation of floating point numbers
  • rounding error problem and error propagation (discussion for the methods below).
  • Notion of convergence and stopping criteria of iterative methods
  • Representation of matrices, efficient multiplication of matrices
  • Resolution of linear systems, including iterative methods
  • Interpolations and regressions
  • Numerical integration, numerical differentiation
  • Resolution of ordinary differential equations: problems with initial value
  • Resolution of nonlinear equations (function roots), application to simple one-dimensional optimization problems (including notion of minimum / maximum local or global)
Since the course is intended for IT professionals, the emphasis will be on practical implementation of these methods. 
 
Applications and examples will be taken preferably in the other courses of the program SINF1BA (economics, electronic basics for computer science, for example). Otherwise, they will be taken in other domains (mechanical, for example) but the teacher will take care to introduce the relevant concepts.
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, S1.3
  • S2.2, S2.4
  • S6.1

Students who have successfully completed this course will be able to:

  • model a simple problem using the proper mathematical notation,
  • identify classical numerical methods suitable for solving a simple problem expressed mathematically,
  • choose, on the basis of precise criteria, the most effective method for numerically solving such a problem,
  • implement a numerical resolution of this simple problem,
  • explain the problems related to the numerical resolution of equations and their impacts: rounding errors, convergence, stopping criteria.
 

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
INFO


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

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