Course 2023-2024

Actual analysis - Partim Physique [SMATB103]

  • 5 credits
  • 30h+30h
  • 1st quarter
Language of instruction: French / Français
Teacher: Winkin Joseph

Objectives

The objective of this course is to learn mathematical reasoning and rigour, to acquire a spirit of synthesis and to initiate the resolution and writing of exercises, within the framework of real analysis.

Content

The first part of the introduction to mathematical analysis is done by presenting the first basic tools of differential and integral calculus, namely the fundamental properties of real numbers and the notions of limit and continuity. The emphasis is on learning rigour and on an introduction to solving exercises. Some examples taken from physics illustrate the course.


Teaching methods

Oral lessons + exercise sessions.

Evaluations

The examination will be written and will consist of two parts, one on theory and the other on exercises. The subject matter of this exam will be specified in December. All definitions must be known as well as a list of theorems to be known with proofs (this list will also be communicated in December). The precise instructions will also be communicated in due course.

Recommended readings

Calcul différentiel et intégral : fonctions réelles d'une ou de plusieurs variables réelles, Jacques Douchet et Bruno Zwahlen, Presses Polytechniques Romandes, Lausanne 1990; Understanding analysis, Stephen Abott, Springer, New York 2002

Language of instruction

French / Français

Location for course

NAMUR

Organizer

Faculté des sciences
Rue de Bruxelles, 61
5000 NAMUR

Degree of Reference

Undergraduate Degree