000516LM1 - MATHEMATICS FOR ECONOMICS: MODULE A

courses

ID:

000516LM1

Duration (hours):

24

CFU:

SSD:

PROBABILITÀ E STATISTICA MATEMATICA

Located in:

PESCARA

Url:

Course Details:

ECONOMICS AND COMMERCE/ECONOMIA E COMMERCIO Year: 3

Year:

2025

Course Catalogue:

https://unich.coursecatalogue.cineca.it/af/2025?co...

Date/time interval

Secondo Semestre (11/02/2026 - 18/05/2026)

Course Objectives

This module introduces the fundamental concepts of Probability Theory in the discrete setting, with particular emphasis on discrete random variables, their distributions, and their main properties. The course provides the theoretical foundations necessary for the study of quantitative models in economics and finance.
EXPECTED LEARNING OUTCOMESStudents are expected to:

progressively assimilate the fundamental concepts of discrete probability;

use these concepts to analyze and describe random phenomena;

formalize and solve basic problems (problem solving) in the probabilistic framework;

understand selected theoretical aspects and be able to present them clearly;

carry out simple mathematical proofs related to discrete probability.

KNOWLEDGE AND UNDERSTANDINGBy the end of the module, students will have acquired the fundamental concepts of discrete probability and understood how these concepts form the basis for the study of mathematical models in economics and finance.
MAKING JUDGEMENTSBy the end of the module, students will have developed the ability to formalize concrete problems and to use the tools of discrete probability to address them and propose suitable solutions.
COMMUNICATION SKILLSBy the end of the module, students will be able to summarize and present the theoretical concepts and results learned, and to explain clearly and rigorously the reasoning behind the solutions to the proposed problems.

Course Prerequisites

Basic knowledge of mathematics, acquired through the courses taught in the first and second year of the Bachelor’s degree program.

Teaching Methods

The course consists of 24 hours of lectures. During the classes, exercises will be assigned and their solutions will be discussed by the lecturer, with the aim of verifying the practical application of the theoretical concepts presented.
In addition to lectures, cycles of seminars delivered by experts and professionals may be organized as supplementary activities.
Attendance is optional but strongly recommended; the final examination is the same for attending and non-attending students.

Assessment Methods

Student assessment is based on a mandatory written exam covering the topics discussed during the course. The exam will consist of exercises and theoretical questions, with scores assigned according to the difficulty and relevance of each item. The final score will be expressed in thirtieths, with the possibility of honors (cum laude).
Students who obtain at least 18/30 in the written exam may, on a voluntary basis, take an oral exam. In this case, the final grade will take both parts into account.

Texts

S. Ross: Introduction to Probability Models, 13/ed, Elsevier, 2023.
Lecture notes provided by the professor.

Fundamentals of probability theory and discrete random variables. Main discrete distributions, expectation and variance. Joint distributions of discrete random variables, independence, marginal and conditional distributions.

Course Language

Italian.

More information

Weekly office hours: Monday, Tuesday and Friday at the end of lectures (1:00 PM), or by appointment via email. Office hours can also be held in English.