# MATHEMATICS Course unit partition: Cognomi E-N

1° year of course - First semester
Professor
- Lorenzo TORRICELLI
Metodi matematici dell'economia e delle scienze attuariali e finanziarie (SECS-S/06)
Field
Ambito aggregato per crediti di sede
Type of training activity
Base
63 hours
of face-to-face activities
9 credits
hub: PARMA
course unit
in ITALIAN

Course unit partition: MATHEMATICS

## Learning objectives

In an ever increasing number of contexts it is expected from a graduate in economic disciplines to be able to proficiently make use of tools for quantitative measurements and analysis. The main objective of the course is to introduce the student to the foundational mathematical concepts used in the economic sciences and to gain the ability to separate the structure of a problem from its context, so that he/she can understand and communicate as effectively as possible what is needed to take informed and justified economic decisions.

Furthermore, at the end of the course, it is expected from the student:
-with regards to understanding and knowledge: the student should
understand and show good command the models presented in the course;
- with regards to applying knowledge and understanding: the student
should learn how to solve several practical problems;
- with regards to independent thinking: the student should show good
abilities in making judgements, developing line of reasoning as well as expressing critical capacities;
- with regards to communication skills: the student should be able to clearly and effectively
communicate what he/she has learned;
-with regards to learning skills: the student should update and
consolidate his/her quantitative knowledge and ba able relate this knowledge to the other disciplines in the degree course.

Furthermore, the student should be able to formalize in quantitative terms some economic problems, by recognizing the nature of the basic input, selecting the most adequate mathematical instruments and techniques leading to a solution, and providing a sound economic interpretation of the results.

## Prerequisites

First and second order equations and inequalities; fractional equations and inequalities.

## Course unit content

Linear functions and models.
Linar systems and matrices. Economic applications.
Non-linear functions.
Differential Calculus and economic applications.
Integrals. Functions in several variables. Economic applications.

- - -

## Bibliography

S. Waner, S.R. Costenoble, Strumenti Quantitativi per la Gestione Aziendale, Apogeo, Milano, 2018.

## Teaching methods

1) Knowledge and understanding: classroom lectures.
2) Applying knowledge and understanding: exercise classes.
3) Making judgements: classroom lectures and exercise classes.
4) Communication skills: exercise classes.
5) Learning skills: classroom lectures and exercise classes.

## Assessment methods and criteria

Written examination.

During the exam, the student can use a scientific calculator. Graphic calculators, smartphone, tablet, laptops and smartwatch are not allowed.

Knowledge and the understanding will be tested through three questions about elementary mathematics (1), a problem (2) and three theoretical questions (3).

The learning level, the skills in applying concepts and reasoning ability will be tested by the economic problem (2). In order to solve such a problem, the student will need to select an appropriate mathematical model, and obtain the solution making use of the analytical tools presented in the course. Ability to make effective use of the technical language will be assessed through three open questions (3) regarding some of the theoretical topics illustrated during the course.

Indicative marks:
(1): 3/30
(2): 15/30
(3): 12/30
If the exam is excellent in terms of completeness, organization of the answers, and/or makes effective use of concepts not specifically treated during the course, full marks cum laude can be awarded.

The lecturer reserves the right to supplement the exam with an oral examination, if deemed necessary by the circumstances.

The University will send to the students an email message to their University email address with the result of the exam (through the Essetre
system); the students have the right to reject the result in a week, through an online procedure, which will be outlined in such a message.

## Other information

The Syllabus, the detailed program and previous exam scripts are uploaded on Elly.