1) To learn some basic methods in Linear Algebra, Linear and Nonlinear Dynamical Systems, Static Optimization. These are essential tools to understand and develop mathematical models in economics and finance. 2)To be able to understand mathematical models and to develop them in simple cases.

1) Knowledge and understanding: The course will offer the basic theoretical tools of Linear Algebra, Dynamical Systems, Optimization. These are key tools to understand and develop mathematical models in economics and finance. 2) Applying knowledge and understanding: The students will be taught how to use the above basic tools to develop simple mathematical models of real phenomena such as: - population/infection dynamics and its impact on the society; - climate change and its economic/social impact; - web pages ranking; - economic/financial activities 3) Making judgements: We expect students to be able to - understand the main features of basic economic/financial models; - judge the reliability of information on quantitative modeling that they read in the press; - build simple mathematical models of real phenomena. 4) Communications Skills: This course will give the students the possibility to acquire and understand major terms and concepts in order to communicate their ideas, proposals, analysis and critical reasoning in the field of mathematical modelling in the most effective and appropriate way. 5) Learning skills: This course will contribute to empower learners giving them the tools to evaluate the statements on quantitative mathematical modelling (that they can read in the press or in specialized journals) in an independent way.

- Review of calculus of Several Variables - Implicit Functions and Comparative Statics - Unconstrained Optimizazion - Constrained Optimization - Eigenvalues and eigenvectors, - Spectral decomposition - Linear/Nonlinear Difference/Differential Equations and Systems - Use of the above techniques to build mathematica models of real phenomena.

1) MATEMATICS FOR ECONOMISTS Carl Simon e Lawrence Blume W.W. NORTON & COMPANY. 2) Notes given by the teacher.

Lessons and Exercises sessions.

Lessons and Exercises sessions.

Interview

Yes. In particular the teachers will develop models on climate change and economics