This course covers the mathematical tools required for intermediate level courses in economics (applied and theory). In particular we shall end up dealing with static optimization (with equality and inequality constraints). To get there we shall cover some topology of R^n, matrices, functions of several variables, differential calculus.
A first course in optimization theory
R. K. Sundaram (Cambridge University Press).
Learning Objectives
The goal is to provide the ability to deal with standard optimization problems found in economics.
Prerequisites
You are supposed to be familiar with 1 variable calculus (functions, limits, derivatives) and some linear algebra (linear systems, determinants, vectors).
Teaching Methods
Lectures, classroom exercises and take-home problem sets.
Further information
More details on the moodle platform at e-l.unifi.it (ask lecturer for access key).
Type of Assessment
More details on the moodle platform at e-l.unifi.it.
Course program
This course introduces students to nonlinear (static) optimization (with equality and inequality constraints) and its typical uses in intermediate level courses in economics (applied and theory). (Some) topology of Rn, matrices and several variables calculus will also be covered.