## OVERVIEW

*The aim of the course is to provide the student with the knowledge of advanced mathematical methods to successfully deal with economic models from a quantitative viewpoint.*

## AIMS AND CONTENT

LEARNING OUTCOMES

The course will integrate the basic math knowledge acquired in the bachelor program treating: advances topics of linear algebra; elements of calculus and static optimization in several variables; an introduction to the theory of dynamic models through difference and differential equations.

AIMS AND LEARNING OUTCOMES

*At the end of the course, the student will be able to deal, autonomously and properly, with the learned mathematical topics and apply them to economic problems with the needed methodological rigor.*

PREREQUISITES

*Calculus and optimization in one variable and basic notions of linear algebra.*

TEACHING METHODS

*The course will be taught by frontal lectures. During the a.y. 2021/22 the lectures might be in blended mode.*

SYLLABUS/CONTENT

*Linear algebra: recalls of basic notions (vectors, matrices, determinant, inversion of square matrix), eigenvalues and eigenvectors, quadratic forms and signature, diagonalization, generalized inverse.**Differential calculus in several variables and optimization: partial derivatives, gradient, Hessian, stationary points and their classification; unconstrained and constrained optimization; implicit function theorem.**Introduction to differential and difference equations: recall of the notion of indefinite integral, solution of linear equations, applications to dynamic models in economics.*

RECOMMENDED READING/BIBLIOGRAPHY

- Simon, C., Blume, L.: Mathematics for Economists (1994), Norton and Company

- Peccati, L., D'Amico, M., Cigola, M. : Maths for Social Sciences (2018), Springer

## TEACHERS AND EXAM BOARD

**Office hours:** Office hours: Tuesday 10-30 - 12.30 on Teams

Exam Board

SALVATORE FEDERICO (President)

MARIA LAURA TORRENTE (President Substitute)

## LESSONS

TEACHING METHODS

*The course will be taught by frontal lectures. During the a.y. 2021/22 the lectures might be in blended mode.*

LESSONS START

September 2021

Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

EXAM DESCRIPTION

*The exam will be written and will contain questions on the the theoretical and modeling features treated in the course as well as exercises.*

ASSESSMENT METHODS

*The exam will evaluate the understanding of the contents of the course with the goal of assessing the reached skill of applying the tools and the methods learned in an economic perspective. *

Exam schedule

Date | Time | Location | Type | Notes |
---|---|---|---|---|

11/01/2022 | 12:00 | GENOVA | Scritto | |

25/01/2022 | 12:00 | GENOVA | Scritto | |

08/02/2022 | 12:00 | GENOVA | Scritto |

FURTHER INFORMATION

*Other information will be provided during the course. For non-attending students the same rules apply. *