Course partially running (all years except the first)
Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
The academic calendar shows the deadlines and scheduled events that are relevant to students, teaching and technical-administrative staff of the University. Public holidays and University closures are also indicated. The academic year normally begins on 1 October each year and ends on 30 September of the following year.
Exam dates and rounds are managed by the relevant Economics Teaching and Student Services Unit.
To view all the exam sessions available, please use the Exam dashboard on ESSE3.
If you forgot your login details or have problems logging in, please contact the relevant IT HelpDesk, or check the login details recovery web page.
The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University. Please select your Study Plan based on your enrolment year.
The main purpose is to provide a range of mathematical tools in order to handle the economic phenomena. First of all, some basic notions on functions of several variables are recalled. Then the course aims to give, in the 1st module, some essential knowledge on unconstrained and equality/inequality constrained optimization and, in the 2nd module, an introduction to differential equations and systems of differential equations.
Module 1 (prof. L. Pellegrini - 4 TC)
Functions of several variables
Differential calculus for functions of several variables
Quadratic forms and definite matrices
Convex functions and generalized convexity
Constrained optimization with equality constraints
Lagrangian function and optimality conditions
Constrained optimization with inequality constraints
Module 2 (prof. A. Peretti - 2 TC)
A refresh on indefinite integrals and integration techniques
Ordinary differential equations. Some general aspects
Linear 1st order differential equations
Separable differential equations
Linear 2nd order differential equations. The non homogeneous case
Systems of differential equations
Linear systems. Solution by substitution
Solution of a linear system through diagonalization
A detailed program and the references to the textbooks are on the e-learning page.
The course consists of 36 hour lectures (equivalent to 6 credits).
In addition to the theoretical notions, lectures provide also some adequate set of techniques for solving exercises.
Written and oral exam.
In the written test, candidates are expected to apply the fundamental notions of the course in order to solve exercises on functions of several variables, optimization problems and differential equations.
The oral examination consists at first in discussing the possible mistakes of the written test, then in investigating the theoretical competence of the candidate; hence, the knowledge of definitions and simple proofs is required.
A minimum mark is needed at the written test for the admittance to the oral discussion.
A first course in Optimization Theory
Cambridge ; New York : Cambridge University Press
C.P. SIMON, L.E. BLUME
Mathematics for Economists
New York, London: Norton & Company Press, Cambridge
There you will find information, resources and services useful during your time at the University (Student’s exam record, your study plan on ESSE3, Distance Learning courses, university email account, office forms, administrative procedures, etc.). You can log into MyUnivr with your GIA login details.
I servizi e le attività di orientamento sono pensati per fornire alle future matricole gli strumenti e le informazioni che consentano loro di compiere una scelta consapevole del corso di studi universitario.