To allow the acquisition of the deductive logical method and to provide the basic mathematical tools of differential and integral calculus, including integrals of functions of several variables and equations and systems of differential equations. Each topic will be rigorously introduced and treated, sometimes carrying out detailed demonstrations, and also making extensive reference to physical meaning, geometric interpretation and numerical application. A correct methodology and a fair ability in the use of the concepts of integral-differential calculus and their results should enable students, in principle, to easily deal with the more applicative topics that will be dealt with in the subsequent courses.