1 Advanced Mathematical Methods for Economics and Business Marco Desogus (UniCa) Aims of the course: The purpose of the module is to provide PhD students with research techniques and methodologies, based on the use of advanced mathematical tools – aimed at understanding and modeling economic-financial and managerial problems – to contribute to the achievement of a wide scientific and cultural autonomy that allows them to produce original and meaningful results. Course contents and Syllabus: Lecture 1 Tuesday 08/02/2022 8-10 Lecture 2 Tuesday 15/02/2022 8-10 Lecture 3 Tuesday 22/02/2022 8-10 Programme: • Ordinary differential equations • Systems of differential equations • Stochastic Differential Equations • Introduction to dynamical systems and bifurcation theory • Issues relating to credit and financial risk assessment Suggested readings: - Venturi B., Casula G., Desogus M., Pili A. (2019), Mathematical Tools in Economic and Financial Models, Aracne (Collana ‘Tempus Pecunia Est’): Roma, ISBN: 9788825528121; - Desogus M. (2020), The Stochastic Dynamics of Business Evaluations Using Markov Models, in ‘International Journal of Contemporary Mathematical Sciences’ (ISSN: 1312-7586 - DOI: 10.12988/ijcms.2020.91233), vol. 15-2020, no. 1 [pp. 53/60]; - Desogus M., Casu E. (2020), What Are the Impacts of Credit Crunch on the Bank-Enterprise System? An Analysis Through Dynamic Modeling and an Italian Dataset, in ‘Applied