Mathematiques Analyse Ii

A second course in calculus, focusing on sequences and series, but also covering techniques of integration, parametric equations, polar coordinates and application of integration.While covering the same basic material as the standard sections, this honors class does so in more detail, including some additional topics.As such, it is for those students who, regardless of their major, are particularly interested in, and excited by mathematics . On y presente d'abord la definition et les proprietes de l'integrale d'une fonction reelle continue d'une variable reelle.On utilise ensuite cet outil pour introduire les fonctions elementaires usuelles de l'analyse, a savoir le logarithme, l'exponentielle, les fonctions trigonometriques directes et inverses et la fonction gamma. On y etudie enfin la representation de ces fonctions par des series de Taylor et des series de Fourier.