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28181 - Mathematics Applied to Economics

Academic Year 2021/2022

                
                        Docente:
                        Iliyan Georgiev
                    
                        Credits:
                        6
                    
                        SSD:
                        SECS-S/06
                    
                        Language:
                        Italian
                    
                        Teaching Mode:
                        Traditional lectures
                        
                            Campus:
                            Bologna
                        
                            Corso:
                            First cycle degree programme (L) in
                            Economics, Markets and Institutions (cod. 8038)

                            Teaching resources on Virtuale

Learning outcomes

The aim of the course is to introduce some mathematical tools employed in the study of smooth multivariate economic and financial models, with a focus on calculus and optimization (free and constrained).

Course contents

Continuity, differential calculus and optimization of functions of several real variables.

The Riemann integral of functions of a single real variable.

Readings/Bibliography

Metodi matematici per l'economia (nelle edizioni meno recenti, Metodi matematici per l'analisi economica e finanziaria), Knut Sydsaeter - Peter Hammond - Arne Strom- Pearson editore

Matematica, Angelo Guerraggio - Pearson editore

Teaching methods

Live classes at the university premises. For each topic the theoretical results will be presented: for some results a proof will be provided while for others only the underlying intuition will be given. Exercises will be solved and examined carefully in close connection with the theory. Weekly classes carried out by a tutor will be dedicated to problem solving.

Assessment methods

Assessment is based on a written exam. Exam questions involving a mixture of both calculations and reasoning are to be expected. Beyond the mechanical application of algorithms, the exam will evaluate the students' understanding of the concepts and results introduced in the course, as well as the students' ability to employ them in reasoning.

At the end of the module of Matematica Generale an intermediate exam will take place, to be completed with another partial exam at the end of the module of Matematica Applicata all'Economia. A passing grade in the integrated course of Matematica requires (i) a grade of at least 15/32 in each of the partial exams, and (ii) an average of at least 17.5/32 of the two partial grades.

All further exam calls will relate to the whole integrated course of Matematica instead of the single modules and will require a grade of at least 17.5 for passing the integrated course.

Every student is entitled to renouce a passing grade of at least 17.5 at most once.

Teaching tools

A dedicated course page on virtuale.unibo.it

Office hours

See the website of Iliyan Georgiev

SDGs

This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.