# MATHEMATICS Course unit partition: Cognomi O-Z

1° year of course - First semester
Professor
Paola Assunta Emilia MODESTI
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
70 hours
of face-to-face activities
10 credits
hub: PARMA
course unit
in ITALIAN

Course unit partition: MATHEMATICS

## Learning objectives

In an ever increasing number of contexts it is advisable that a graduate in economic disciplines is able to use quantitative measurements and tools. The main objective of the course is to allow the student to "take possession" of these tools in order to separate the structure of a problem from the 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:
- as far as concerns knowledge and understanding: the student should understand and properly treat the main models presented in the course;
- as far as concerns applying knowledge and understanding: the student should be able to solve practical problems;
- as far as concerns making judgements: the student should show good skills in making judgement, developing reasoning and critical capacities;
- as far as concerns communication skills: the student should clearly communicate what he/she has learned;
- as far as concerns learning skills: the student should update and consolidate his/her quantitative knowledge and relate this knowledge and competence to other disciplines in the degree course.
Furthermore, the student should be able to formalize in quantitative terms some economic problems, by individuating initial data and the more adequate mathematical instruments in order to obtain an efficient and rigorous solution and to provide an economic interpretation of the obtained results.

## Prerequisites

First and second order equations and inequalities.

## Course unit content

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

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## Bibliography

S. Waner, S.R. Costenoble, Strumenti quantitativi per la gestione aziendale, Apogeo, Milano, 2019.

## Teaching methods

1) Knowledge and understanding: teacher-fronted sessions.
2) Applying knowledge and understanding: practice sessions.
3) Making judgements: teacher-fronted sessions and practice sessions.
4) Communication skills: practice sessions.
5) Learning skills: teacher-fronted sessions and practice sessions.
The Syllabus, the detailed program and the previous exam tests are

## Assessment methods and criteria

Written examination (60 minutes).
During the exam, the student can use a scientific calculator. Graphic calculators, smartphone, tablet, laptops and smartwatch are not allowed.
The knowledge and the skill in comprehension will be tested through three questions about elementary mathematics (1), three short problems (2) and three theoretic/practical questions (3).
The quality of learning, the skill in the applications of the concepts and the independence of judgement will be verified through the economic problems (2). In order to solve such a problem, the student will individuate an opportune mathematical model, by obtaining the solution through the analytical tools presented in Course.
The knowledge of an appropriate technical language will be checked through the three questions (3) about the theoretic subjects with applications of the Course.

Indicative marks:
(1): 3/30
(2): 15-16/30
(3): 12-13/30
If a correct result is not justified in the paper given to the student for the development of the exam, no mark will be assigned.
If the test, possibly integratd by an oral exam, is excellent, it will be valuated with full marks cum laude.
The teacher could ask for an oral test and/or partially modify the written examination, also according to the exigencies of integration with possible
online activities.
The University will send to the students an email message to their University email address with the result of the exam (through Essetre
system). The students can reject the result in a week, through an online procedure, clearly described in the message.

## Other information

Further teaching materials, the Syllabus, the detailed program of the
course and the exams already assigned will be published on Elly.
Furthermore, the teacher could modify some indications, in particular about lessons
and examinations, also according to the evolution of pandemic situation.
Every change will be communicated well in advance to students through
the usual channels.