Mathematical tools in economic and financial models

The volume was written for advanced undergraduate and beginners graduated students, as well as researchers who want to deepen their knowledge in some mathematical methods very useful in the recent economic and financial literature. It carries out a complete and comprehensive analysis of the main properties of a deterministic and stochastic continuous-time dynamic system. It has been made through the experience of doing lecturing conducted teaching for many years in PHD advanced courses in Quantitative Methods at the University of Cagliari, Department of Economics and Business, Italy. So, the text follows the style of the lectures. It deals with applications of deterministic and stochastic differential equations, then through the solutions of problems proposed, readers have the chance to strengthen and deepen their preparation in the proposed topics. At the end they will be able to understand advanced calculus methods needed for the analysis of economic and financial systems.