2020-2021 / MATH0500-1

Introduction to numerical algorithmic

Duration

24h Th, 14h Pr, 6h Labo., 45h Proj.

Number of credits

 Bachelor of Science (BSc) in Computer Science5 crédits 
 Master of Science (MSc) in Computer Science5 crédits 

Lecturer

Quentin Louveaux

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

Numerical analysis is at the boundary between Mathematics and Computer Science. It consists in studying how to practically obtain in a computer different mathematical concepts studied in other courses.
This course gives a brief introduction on good ways to implement a numerical method.
The following topics are considered: - number representations in a computer - Non-linear equations and systems - Linear algebra - Sparse linear algebra - Monte-Carlo methods                                                                                              - interpolation and linear regression  

Learning outcomes of the learning unit

- representation of numbers in a computer and implications on the roundoff errors in floating point computing
- interpoolation issues - numerical methods for the resolution of nonlinear equations - basics of numerical linear algebra - basics of sparse linear algebra - basic concepts of the software matlab (or julia)

Prerequisite knowledge and skills

A basic course in linear algebra

Planned learning activities and teaching methods

Six tutorials are organized. An implementation project in C is also given.

Mode of delivery (face to face, distance learning, hybrid learning)

face-to-face

Organisational adjustments related to the current health context

If face-to-face is allowed:
Written exam mixing theory (true/false) and exercises similar to the problem sessions.
If remote evaluation as imposed by the health conditions:
Oral exam by videoconference without preparation

Recommended or required readings

Lecture notes will be availableon the course's website.

Assessment methods and criteria

Below you will find information on the evaluation methods planned for in-person and remote exams as well as those planned for hybrid sessions. Depending on how the health crisis evolves, the chosen method will be communicated to you no later than one month before the start of the exam session.

A written exam is organized and counts for 2/3 of the final grade.
The implementation project by groups of two counts for 1/3 of the final grade.
If the project is not submitted in December, it has to be submitted in August (the same statement holds). The absence of any project submitted implies a "no show" grade.

Work placement(s)

Organizational remarks

  All documents are available through
https://dox.uliege.be/index.php/s/4d3EKlaeExe2cUw

Contacts

q.louveaux@uliege.be