Basic Mathematics (2008/2009)

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Course code
4S00023
Name of lecturer
Nicola Sansonetto
Number of ECTS credits allocated
4
Other available courses
Academic sector
MAT/02 - ALGEBRA MAT/03 - GEOMETRY
MAT/05 - MATHEMATICAL ANALYSIS

Language of instruction
Italian
Location
VERONA
Period
periodo zero dal Sep 8, 2008 al Sep 29, 2008.

Lesson timetable

Learning outcomes

The aim is to introduce some basic mathematical concepts.

Syllabus

Introduction to set theory: definitions, notations and examples; subsets, unions, intersections and relative complements;
difference between classes and sets, Russell's paradox.
Relations and functions: properties of relations; order relations,
equivalence relations and equivalence classes. Functions and their properties; total, injective, surjective and bijective functions;
composition between functions and the inverse function.
Cardinality: finite and infite sets; countable and uncountable sets;
cardinality of sets of numbers.
The mathematical induction.
Elements of mathematical logic: structures and languages;
terms, quantifiers and formula; interpretation of a formula, satisfaction and truth.

Reference books
Author Title Publisher Year ISBN Note
Alberto Facchini Algebra e Matematica Discreta (Edizione 1) Edizioni Decibel/Zanichelli 2000 978-8808-09739-2
Giuseppe de Marco Analisi Zero, presentazione rigorosa di alcuni concetti base di matematica per i corsi universitari (Edizione 3) Edizione Decibel/Zanichelli 1997 978-8808-19831-0
Enrico Gregorio e Francesca Mantese Dispense di Matematica di Base  

Assessment methods and criteria

Written and oral test

Teaching aids

Documents