Teacher

Andrea Mazzon

Referent

Andrea Mazzon

Credits

3.75

Language

English

Class attendance

Free Choice

Location

VERONA

Moodle Seminars 0

Learning objectives

The course aims to provide students with the tools needed to quantitatively address the main problems that arise in the economic and financial fields. The basic notions of Linear Algebra and Calculus for functions of one variable are essential prerequisites. After an introduction to some more advanced notions of Linear Algebra and Calculus for functions of several variables, the unconstrained and constrained optimization problems and their applicability in the economic-financial field are presented. The resolution of optimization problems will be addressed with the classic results deriving from the conditions of optimality of the first and second order and from the properties of the Lagrangian function.

Prerequisites and basic notions

You are expected to be familiar with standard calculus in one variable

Program

Linear algebra: matrix algebra, determinants, rank, quadratic forms, sign of a quadratic form and
definite matrices.
Calculus: functions of several variables, level sets, differential calculus for functions of several
variables, convex functions.
Unconstrained optimization: first order optimality conditions, second order optimality conditions.
Constrained Optimization: the Weierstrass Theorem. Constrained optimization with equality
constraints, Lagrange theorem. Lagrangian function and optimality conditions. Constrained
optimization with inequality constraints, Kuhn-Tucker theorem. Convex problems.

Didactic methods

Frontal teaching.

Learning assessment procedures

Written exam.

Assessment

The ability to solve the exercises, the knowledge of the basic definitions and the important theorems, the critical attitude will be considered fundamental

Criteria for the composition of the final grade

Global evaluation on the knowledge of the different topics presented during the course

Scheduled Lessons