Continuum Mathematics

The aim of the course is to provide the basic tools of Mathematical Analysis, both from a theoretical and practical point of view, which are essential to successfully attend a university undregraduate program in a scientific area. The course will propose the required mathematics prerequisites for the other courses of the program.

At the end of the course students should prove to have a sufficient knowledge of basic mathematics (set theory, real and complex numbers, elementary functions). Moreover students will be required to deepen the basic results in the theory of differential and integral calculus for functions of one real variable. Finally students will be able to state the main results and replicate some of the proofs presented during the course. One of the main skills which will be tested is the application of the theoretical results to solve elementary problems and exercises concerning topics presented in the course.