00679 - Foundations of Mathematics

Course Unit Page

SDGs

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

Quality education

Academic Year 2021/2022

Learning outcomes

At the end of the course, the student will have a basic knowledge of the mathematical concepts and techniques that are of central importance for economics, finance, statistics and econometrics. The student will be able, in particular, to apply fruitfully tools and concepts from linear algebra, differential calculus and integral calculus to a wide range of topics and models in economics, finance and management.

Course contents

· Linear functions and linear models

· Systems of linear equations

· Matrix algebra and applications

· Sequences, infinite series, and the mathematics of finance

· Nonlinear functions and models

· Introduction to derivatives and differentiation techniques

· Application of derivatives

· Introduction to integral calculus and integration techniques

· Applications of integral calculus

· Multivariable functions

· Introduction to optimization

Readings/Bibliography

Knut Sydsaeter, Peter Hammond, Arne Strøm, Andrés Carvajal, “Metodi matematici per l'economia” (a cura di D. La Torre), Pearson, 2021.

(or: Knut Sydsaeter, Peter Hammond, Arne Strøm, “Metodi matematici per l'analisi economica e finanziaria” (a cura di D. La Torre e C. Pellizzari), Pearson, 2015).

Other useful textbooks:

· Stefan Waner, Steven R. Costenoble, ”Strumenti quantitativi per la gestione aziendale” (a cura di Marzia De Donno, Paola Modesti, Simona Sanfelici), 2018 (Seconda Edizione), Apogeo Education, Maggioli Editore.

· Peccati, Salsa, Squellati, “Matematica per l’economia e l’azienda”, 2018 (Quarta Edizione), Egea.

Teaching methods

Class lectures. During the class lectures (as well as in the additional exercise classes) each topic will be illustrated by examples, worked-out exercises and applications to Economics and Finance.

Assessment methods

Written examination.

The written exam aims at testing the student's ability to understand and effectively apply the basic and advanced concepts and techniques learned in the course to specific problems in calculus, linear algebra and their economic applications.

Grade rejection

Students can reject the grade obtained at the exam once. To this end, students must email a request to the instructor within the date set for registration. The instructor will confirm reception of the request within the same date.

Teaching tools

Slides and graphics tablet.

Prior to the beginning of the course, a Crash Course in Mathematics will cover a number of introductory topics (so-called precalculus).

Office hours

See the website of Roberto Dieci