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.
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.
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.
Calcul différentiel et intégral, Jacques Douchet et Bruno Zwahlen, Presses Polytechniques Romandes, Lausanne 1990;
Understanding analysis, Stephen Abott, Springer, New York 2002
| Training | Study programme | Block | Credits | Mandatory |
|---|---|---|---|---|
| Bachelier en sciences mathématiques | Standard | 0 | 7 | |
| Bachelier en sciences mathématiques | Standard | 1 | 7 |