The aim of the course is to broaden and consolidate the acquisition of the mathematical method as a fundamental investigation tool for economic, financial and business disciplines. To this end, the course is divided into four parts. In the first part we provide notions of linear algebra to study linear systems and diagonalization of matrices. In the second part the student will be introduced to the study of differential calculus for functions of several variables. In the third part the course provides tools to recognize and study free and constrained optimization problems. In the fourth part solution methods for simple systems and differential equations will be provided.