02541 - Mathematics for Economists

Learning outcomes

At the end of the course students are expected to be able to apply the qualitative theory of differential and finite differences equations to the analysis of solutions of  problems in modern economic theory.

Course contents

Prerequisites

Students are expected to have a good command on the first elements of calculus.

 

Differential Equations

-First order ordinary differential equations: the Cauchy problem.

-Differential equation of higher order.

-Systems of ordinary differential equations. Autonomous systems and equilibria.

-Two-dimensional linear omogenenous autonomous systems.

Finite difference equations

-First order difference equations

-Systems of first order difference equations. Autonomous systems and equilibria.

-Two dimensional linear autonomous systems.

Introduction to dynamical optimization

-Nonlinear dynamical system: Linearization of a non linear autonomous system in the neighbourhood of an equilibrium.

 

Readings/Bibliography

Angelo Guerraggio - Sandro Salsa, Metodi Matematici per l'economia e le scienze sociali, G. Giappichelli Editore -Torino

Agliardi E, Agliardi R., Matematica per la teoria economica. Pitagora

 
Carl P. Simon, Lawrence E. Blume, Mathematics for Economists. Vol 1 & 2 W. W, Norton $ Co Inc.

Laura Recine - Maurizo Romeo, Esercizi di analisi matematica. Volume II: Funzioni di più variabili ed equazioni differenziali, Maggioli Editore.

 

Teaching methods

Lessons and exercises at the blackboard

Assessment methods

 Mandatory written test.

 

Teaching tools

Pencil and paper and chalk

Office hours

See the website of Natascia Angelini