The Scuola Matematica Interuniversitaria (SMI) started its activities more than thirty years ago. The aim of the School is to provide young researchers with a basic training in Mathematics and its applications in various sectors, including Physics, Computer Science, Economics and Finance, Engineering. In pursuit of this aim, the School organises post-graduate courses addressed to young graduate students, both from Italy and from abroad, and prepares them for attendance to Ph.D. courses, Dottorati di ricerca in Italy, post-graduate Schools and research activities in general.