Numerical algorithmic

Teacher(s)

Massart Estelle; Quertenmont Loïc;

Language

French

Prerequisites

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.

Learning outcomes

At the end of this learning unit, the student is able to :
A.A. S1.G1, S1.3 - A.A. S2.2, S2.4 - A.A S6.1	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.

Content

Introduction to numerical methods by means of description and especially implementation of concepts from algebra and analysis courses.  The aim is to develop algorithms to understand the limits of implementing a mathematical concept: data representation (numbers,...) and error processing (calculation, stability, propagation,...).
Language: Python

Teaching methods

By presentation of the concept and by implementation.  If the COVID allows it, the lectures are given face-to-face or, if not, remotely.  Practical work is given entirely in the classroom if possible, otherwise it is given every other week in the classroom and every other week remotely.

Evaluation methods

If the sanitary conditions allow it, the exam will be carried out face-to-face, in writing with open questions and, failing that, remotely in writing with a mix of open questions and multiple-choice questions on the moodle platform. The assessment covers all the material seen during the lectures and practical work. The exam mark counts for 90% of the final evaluation, the remaining 10% coming from continuous work and attendance during the exercise sessions.The mark obtained for the continuous work and attendance holds for the whole academic year (no re-evaluation during the second exam session for this part).

Online resources

https://moodle.uclouvain.be/course/view.php?id=5751

Teaching materials

• Numerical Methods in Engineering with Python 3 de Jaan Kiusalaas - ISBN-10: 1107033853
• Slides on moodle

Faculty or entity

SINC