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
- Cardinality

2. Discrete Mathematics
- Integers
- Euclidean Algorithm
- Modular arithmetics
- Polynomials
- Complex numbers

3. Algebraic structures
- Monoids
- Groups

RECOMMENDED READING/BIBLIOGRAPHY

Teaching support material will be posted on Aulaweb

TEACHERS AND EXAM BOARD

Exam Board

RICCARDO CAMERLO (President)

ALESSIO CAMINATA (President Substitute)

LESSONS

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

Written exam.

Exam schedule