TO ALLOW THE ACQUISITION OF THE DEDUCTIVE-LOGIC METHOD AND PROVIDE BASIC MATHEMATICAL TOOLS FOR THE DIFFERENTIAL AND INTEGRAL CALCULUS. EACH TOPIC WILL BE STRICTLY INTRODUCED AND TREATED BY CARRYING OUT, WHENEVER NEEDED, DETAILED DEMONSTRATIONS AND BY REFERRING LARGELY TO THE PHYSICAL MEANING, THE GEOMETRICAL INTERPRETATION AND THE NUMERICAL APPLICATION. A PROPER METHODOLOGY COMBINED WITH A REASONABLE SKILL IN THE USE OF THE CONCEPTS AND RESULTS OF THE INTEGRO-DIFFERENTIAL CALCULUS, WILL ENABLE STUDENTS TO FACE MORE APPLICATIVE CONCEPTS THAT WILL BE TACKLED DURING THE SUCCEEDING COURSES.