OVERVIEW

This is an introduction to fundamental mathematical notions and simple algebraic structures.

AIMS AND CONTENT

LEARNING OUTCOMES

- be acquainted with logical mathematical reasoning;
- learn fundamental and fundative notions in modern Mathematics (sets, functions, natural numbers, cardinality);
- comprehend and master important results of discrete Mathematics and their computational applications (Euclidean Algorithm, modular arithmetic);
- be able to distinguish simple algebraic structures (monoids, groups).

PREREQUISITES

Knowledge of simple literal equations (secondary school level) and of basic trigonometry.

TEACHING METHODS

Lectures

SYLLABUS/CONTENT

1. Basic notions
- Sets
- Functions
- Natural numbers and induction
- Complex numbers
- Equivalence relations
- Partial orders
- Cardinality

2. Discrete Mathematics
- Integers
- Euclidean Algorithm
- Modular arithmetics

3. Algebraic structures
- Monoids
- Groups

RECOMMENDED READING/BIBLIOGRAPHY

Teaching support material will be posted on Aulaweb

TEACHERS AND EXAM BOARD

LESSONS

LESSONS START

According to the calendar approved by "Consiglio dei Corsi di Studio in Informatica e Computer Science"

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

Written exam. Students with DSA certification ("specific learning disabilities"), disability or other special educational needs are advised to contact the teacher at the beginning of the course to agree on teaching and examination methods that, in compliance with the teaching objectives, take account of individual learning arrangements and provide appropriate compensatory tools.

ASSESSMENT METHODS

Questions of the exam will concern the main topics presented during the lectures. The aim is to establish not only whether students will have reached an appropriate level of knowledge, but also whether they can analize and approach problems.