 |  |  |
| MATH0500-1 | Introduction to numerical algorithmic
|

 |
| Duration : | 24h Th, 14h Pr, 6h Labo., 45h Proj. |
 |
| Number of credits : |
|
 |
| Lecturer : | Quentin Louveaux |
 |
Language(s) of instruction :
 |
| French language |
 |
Organisation and examination :
 |
| Teaching in the first semester, review in January |
 |
Course 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
- interpolation
- Non-linear equations and systems
- Linear algebra
- Sparse linear algebra
- Monte-Carlo methods |
 |
Learning outcomes of the course :
 |
| - representation of numbers in a computer and implications on the roundoff errors in floating point computing
- numerical methods for the resolution of nonlinear equations
- basics of numerical linear algebra
- basics of sparse linear algebra
- basic concepts of the software matlab |
 |
Prerequisites and co-requisites/ Recommended optional programme components :
 |
| High-school mathematics |
 |
Planned learning activities and teaching methods :
 |
| Tutorials are organized every week.
An introduction to matlab is given.
An implementation project is also given. |
 |
Mode of delivery (face-to-face ; distance-learning) :
 |
| face-to-face |
 |
Recommended or required readings :
 |
| Lecture notes will be availableon the course's website. |
 |
Assessment methods and criteria :
 |
| A written exam is organized.
The implementation project by groups of two also counts in the final grade.
The final grade is obtained as the geometric mean of the two scores. |
 |
Work placement(s) :
 |
| |
 |
Organizational remarks :
 |
| / |
 |
Contacts :
 |
| |
 |