Mathematics
A.A. 2022/2023
Obiettivi formativi
The aim of the course is to enable students to apply mathematics as a useful and precise tool in economics and statistics. Starting with a revision of basic mathematics and developing new theory using practical examples, the course will also foster students' ability in using graphs to simplify and check the resolution of problems.
Risultati apprendimento attesi
Students should be able to formalize practical situations using mathematical methods. They should become competent at creating graphs to represent functions and convey information. Students should be able to develop an effective study method in the subject for further independent learning and to critically analyze relations between mathematical theory and its practical applications.
Periodo: Secondo trimestre
Modalità di valutazione: Esame
Giudizio di valutazione: voto verbalizzato in trentesimi
Programma e organizzazione didattica
Edizione unica
Responsabile
Periodo
Secondo trimestre
Emergency procedures will be in accordance to the University regulations.
Programma
Revision of algebra,
analytic geometry, starting with the equation of a straight line;
systems of linear equations, graphs of linear equations and systems.
Introduction to linear programming.
Matrices and their applications in Economics and Politics.
Connection between the slope of a straight line and derivatives.
Derivatives of functions in general. Revision of functions including exponentials and logarithms.
Linear approximation also in the context of Taylor's series.
Optimisation and derivatives. Second derivatives.
Integrals as "antiderivatives". Definite integrals as the area under a graph.
Functions of many variables, partial derivatives, optimisation of multivariable functions.
Constrained optimisation. Lagrange's method.
analytic geometry, starting with the equation of a straight line;
systems of linear equations, graphs of linear equations and systems.
Introduction to linear programming.
Matrices and their applications in Economics and Politics.
Connection between the slope of a straight line and derivatives.
Derivatives of functions in general. Revision of functions including exponentials and logarithms.
Linear approximation also in the context of Taylor's series.
Optimisation and derivatives. Second derivatives.
Integrals as "antiderivatives". Definite integrals as the area under a graph.
Functions of many variables, partial derivatives, optimisation of multivariable functions.
Constrained optimisation. Lagrange's method.
Prerequisiti
Good knowledge of the English language, working knowledge of Mathematics' basic rules according to compulsory schooling level.
Metodi didattici
- Lectures to cover new topics, including practical examples and suggestions of further applications;
- tutorials to go over exercises and problems in detail, emphasising best techniques to arrive at correct results.
- tutorials to go over exercises and problems in detail, emphasising best techniques to arrive at correct results.
Materiale di riferimento
- Peter Hammond, "Essential mathematics for economic analysis", (Pearson editors). The current edition is the sixth, previous editions could be used by students but lecture page references will consider only the last edition;
- lecture notes.
- lecture notes.
Modalità di verifica dell’apprendimento e criteri di valutazione
Written examination consisting of exercises and problems to assess skills in mathematical problem solving and practical applications of the subject. Marks are on a scale of 30.
SECS-S/06 - METODI MATEMATICI DELL'ECONOMIA E DELLE SCIENZE ATTUARIALI E FINANZIARIE - CFU: 6
Lezioni: 40 ore
Docente:
Loewenstein Silva Ruth
Siti didattici
Docente/i
Ricevimento:
Martedi 15:30
online su appuntamento via mail