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

EXAMS

EXAM DESCRIPTION

Written exam.

Exam schedule