Mathematics I

The aim of the course is to provide a basic knowledge of the following subjects: the general methods of mathematical thinking; elementary set theory; the main number systems (including a rigorous definition of the real numbers); some elementary functions of one real variable; the notions of limit and continuity, differential calculus and integral calculus, mainly for real functions of one real variable; the use of elementary functions and infinitesimal calculus in some real world applications.

The student should master the general methods of mathematical reasoning; he/she should attain a deep understanding of the basic theoretical notions provided by the course, and develop the capability to illustrate them in a rational way. In addition, the student should acquire the skill to solve computational problems in the same areas, applying autonomously the solution techniques provided by the course.