Far from being based on important prerequisites, this book offers the student who, at the end of secondary studies or especially in the first higher cycle, approaches differential and integral calculus, to lead him, in a particularly careful pedagogical environment, to the most advanced notions. Each concept is introduced intuitively before being rigorously presented. The many figures to which the color gives immediate legibility contribute greatly to reducing the intrinsic difficulty of the concepts. A fair share is given to theory, routine exercises, and applications. The latter, by their number and the diversity of the very current fields they address, demonstrate, if it were necessary, the essential role of the tools provided by the analysis. And since the resolution of applications requires obtaining a numerical result