The objective of this course is to learn mathematical reasoning and rigour, the acquisition of a spirit of synthesis and the initiation to the resolution and writing of exercises within the framework of real analysis, i.e. differential and integral calculus for functions of one or more real variables.
The introduction to Mathematical Analysis is done by presenting the basic tools of differential and integral calculus. The emphasis is on learning rigour and on the initiation to the solution of exercises. Some examples taken from physics illustrate the course. The subject is subdivided into five chapters: Derivatives of numerical functions of one real variable Differentiability of functions of several real variables Integral of a function of a real variable Improper integrals
Oral lessons + exercise sessions + small group work.
Exam : written exam about theory and exercises.
The list of theorems to be known with proofs will be communicated in writing.
Precise instructions will be given in due course.
Calcul différentiel et intégral, Jacques Douchet and Bruno Zwahlen, Presses Polytechniques Romandes, Lausanne 1990. Understanding analysis Stephen, Abott, Springer New York 2002.
| Training | Block | Credits | Mandatory |
|---|---|---|---|
| Bachelor in Mathematics | 1 | 7 | Yes |