AIMS AND CONTENT

LEARNING OUTCOMES

Learning the abstract reasoning of algebra and how to identify similar structures and patterns in different environments. 

Learning how to formalize in a mathematically correct way problems that involve operations on sets.

AIMS AND LEARNING OUTCOMES

At the end of the module, the student will be expected to:

• become familiar with logical-deductive mathematical reasoning;
• learn the fundamental and foundational concepts of modern mathematics (sets, functions, natural numbers, cardinality);
• understand and be able to apply some important results from discrete mathematics and their applications in computational contexts (Euclidean algorithm, modular arithmetic);
• learn to recognize and 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

Exam Board

RICCARDO CAMERLO (President)

FRANCESCO STRAZZANTI

ALESSIO CAMINATA (President Substitute)

ALDO CONCA (President Substitute)

LESSONS

LESSONS START

According to the calendar approved by the Degree Program Board: https://corsi.unige.it/en/corsi/11896/studenti-orario .

EXAMS

EXAM DESCRIPTION

Written examination.

Guidelines for students with certified Specific Learning Disorders, disabilities, or other special educational needs are available at  https://corsi.unige.it/en/corsi/11896/studenti-disabilita-dsa.

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.

FURTHER INFORMATION

For further information, please refer to the course’s AulaWeb module or contact the instructor.