This course covers mathematical tools required for intermediate level courses in economics (applied and theory): linear algebra and matrices, functions of several variables, integration.
Knut Sydsaeter, Peter Hammond, Arne Strom, Andrés Carvajal. Essential Mathematics for Economic Analysis. Pearson 2016.
Obiettivi Formativi
The goal of the course is to provide the ability to understand the formalization of standard problems found in economics and to complement competences from statistics/econometrics courses. Students will also be able to read the economic literature up to a moderate level of formalization.
Prerequisiti
It is necessary to be familiar with single variable calculus (functions, limits, derivatives).
Metodi Didattici
Lectures (48 hours).
Altre Informazioni
More details on the moodle platform at e-l.unifi.it (ask lecturer for access key).
Modalità di verifica apprendimento
The exam consists in a written test. More details on moodle at e-l.unifi.it.
Programma del corso
Matrix and vector algebra: systems of linear equations, determinant and inverse of a matrix. Vector spaces and subspaces. Bases and Dimension. Eigenvalues and eigenvectors. Functions of several variables: geometric representation, level sets, partial derivatives. Tools for comparative statics: the chain rule and Implicit differentiation. Unconstrained optimization in several variables. Elements of Riemann integration.