KNOWLEDGE AND UNDERSTANDING:
The course aims to let acquire knowledge of a basic set of mathematical tools, which are necessary to deal with economic and social problems.
APPLYING KNOWLEDGE AND UNDERSTANDING:
The course aims at letting the students to model economic, financial and social problems by using the mathematical language and to apply mathematical methods to solve such problems.
MAKING JUDGEMENTS:
The student must deeply understand the concepts presented during the course and be able to apply them in different situations.
COMMUNICATION SKILLS:
The student should be able to communicate effectively the concepts learned during the course.
LEARNING SKILLS:
The student should be able to develop learning skills which are essential to the understanding of more advanced issues.

PROPEDEUTICS:
Student must know the topics covered in the course of Matematica generale.

PREREQUISITES:
In order to understand the topics dealt with in the course, basic concepts of mathematics are essential.

A) Essentials of linear algebra Vector. Matrix and linear systems. B) Differential calculus for functions of many variables Domain. Continuity. Global and local extrema. Quadratic forms. Partial derivatives. Free optimization. Constraint optimization. C) Financial mathematics Financial lows; equivalent rates. Annuities and amortization schedules. Value od a debt, usufruct and bare ownership.

Lorenzo Peccati, Sandro Salsa, Annamaria Squellati, 'Matematica per l’economia e l’azienda”, IV ed. Egea, 2018.

Erio Castagnoli, Lorenzo Peccati, 'Matematica in azienda 1 - Calcolo finanziario con applicazioni', Egea, 2010.

Giacomo Scandolo, 'Matematica finanziaria', AMON, 2013.

A) Essentials of linear algebra
Vector. Matrix and linear systems.

B) Differential calculus for functions of many variables
Domain. Continuity. Global and local extrema. Quadratic forms. Partial derivatives. Free optimization. Constraint optimization.

C) Financial mathematics
Financial lows; equivalent rates.
Annuities and amortization schedules. Value od a debt, usufruct and bare ownership.
Zero-coupon and coupon bonds.

Lectures supported by slide presentations and exercises. In addition to the hours of classroom teaching delivered by the course lecturer, the module also includes 15 additional hours of supplementary educational activities, consisting of practical exercises and applications of the concepts covered during lectures.

Teaching material is available on the page of the course in Moodle2.

Written test containing both practical exercises and theoretical questions on the topics covered.

This course explores topics closely related to one or more goals of the United Nations 2030 Agenda for Sustainable Development (SDGs)