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CODE 73027
ACADEMIC YEAR 2025/2026
CREDITS
SCIENTIFIC DISCIPLINARY SECTOR MAT/02
LANGUAGE Italian
TEACHING LOCATION
  • GENOVA
SEMESTER 1° Semester
SECTIONING Questo insegnamento è diviso nelle seguenti frazioni:
  • A
  • B
  • MODULES Questo insegnamento è un modulo di:

    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

    LESSONS

    LESSONS START

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

    Class schedule

    The timetable for this course is available here: Portale EasyAcademy

    EXAMS

    EXAM DESCRIPTION

    Written examination

    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.