Allow the acquisition of the deductive logic method and provide the basic mathematical tools of the differential and integral calculus. Each topic will be rigorously introduced and treated, performing, sometimes, full proofs and also making a strong connection with the physical meaning, the geometric interpretation and the numerical application. A proper methodology and a reasonable skill in the use of concepts of the integro-differential calculus and related results will enable the students to possibly face in an easily way the more applied topics that will be developed in the later courses.