2023-2024 / MATH2006-2

Introduction to numerical analysis


30h Th, 30h Pr

Number of credits

 Bachelor in mathematics6 crédits 


Jean-Pierre Schneiders

Language(s) of instruction

French language

Organisation and examination

Teaching in the second semester


Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

The course begins with a few basic notions on the representations of numbers, the floating point calculus and numerical instability problems. It continues with the study of the main numerical methods for the approximate resolution of a few usual problems of algebra and analysis (non-linear equations, linear systems, interpolation, integration, ...).
During exercises sessions, the students learn to implement some of the algorithms studied in the course and to solve by themselves various problems of numerical analysis.

Learning outcomes of the learning unit

After this course, the students should have grasped the basic ideas of numerical analysis. In particular, they should have understood how to apply results from algebra and analysis to obtain approximate solutions for various common problems.

Prerequisite knowledge and skills

The course uses some parts of the analysis and algebra courses teached during the first year. The exercises sessions depends heavily on the programming course of the second year.

Planned learning activities and teaching methods

The course consists of blackboard lessons and exercises and programming sessions in Python.
During the lessons, the main theoretical results are introduced, established and illustrated with examples. Mathematica software is also used to clarify some numerical methods.
During the exercises and programming sessions, the students are trained to solve by themselves various problems using the results considered in the lessons and to implement their solutions.

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

Face-to-face course

Recommended or required readings

Lecture notes are handed out to students at the beginning of the course.

Exam(s) in session

Any session

- In-person

written exam ( open-ended questions ) AND oral exam

Additional information:

Examinations (oral examination on the theory, written examination on exercises, computer programming examination) are organised on the whole course.
The note for the first session is based on the results obtained during these evaluations and can be modified to take into account the work done during the exercises sessions.
The second session is entirely similar to the first one.

Work placement(s)

Organisational remarks and main changes to the course


Jean-Pierre Schneiders Département de Mathématique (Bât. B37, Bureau 1/60) Allée de la Découverte, 12 - 4000 Liège (Sart-Tilman) Tél. : (04) 366.94.01 - E-Mail : jpschneiders@uliege.be Web page : http://www.analg.ulg.ac.be/jps/

Association of one or more MOOCs