2018-2019 / MATH0006-3

Introduction to numerical analysis

Duration

20h Th, 20h Pr

Number of credits

 Bachelor in engineering4 crédits 
 Master in geology and mining engineering, professional focus in geometallurgy (EMERALD) (Erasmus mundus)5 crédits 
 Master in geology and mining engineering (120 ECTS)5 crédits 

Lecturer

Quentin Louveaux

Language(s) of instruction

English 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.
There are two main types of problems studied by numerical analysis: - how to actually compute results for which an analytical expression exists but that can be obtained more or less accurately depending on the selected method - how to compute solutions of real problems for which no analytical solution is known but that can be approximated using a computer.
The course is structured in four main chapters.
Ch 1: Polynomial interpolation and regression
Ch 2: Numerical linear algebra and basic linear programming
Ch 3: Non linear systems and some basics about non linear optimization
Ch 4: Numerical derivation and integration

Learning outcomes of the learning unit

At the end of the course, the student will have to

  • master the main numerical methods to approximate derivatives, definite integrals, linear and nonlinear systems, eigenvalues, regressions,
  • understand the bases of linear optimization and the simplex algorithm,
  • be able to analyze the behaviour of these numerical methods and in particular to be able to discuss their stability, their order of convergence and their conditions of application,
  • be able to apply these methods to academic and simple practical instances.

Prerequisite knowledge and skills

An introductory course on linear algebra and calculus.

Planned learning activities and teaching methods

The course is organized as follows: 10 lectures and 8 tutorials.

Mode of delivery (face-to-face ; distance-learning)

face-to-face

Recommended or required readings

The syllabus is available at the CdC.

Assessment methods and criteria

A written exam. One theoretical question accounts for 25% of the final grade, the rest being exercises.

Work placement(s)

Organizational remarks

The theoretical lectures are taught in English.

Contacts