The aim is to introduce some basic mathematical concepts.
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.
Written test
cenni di trigonometria
(pdf, it, 157 KB, 09/10/06)
correzione compito 12/09/06
(pdf, it, 83 KB, 16/10/06)
correzione compito 17/12/04
(pdf, it, 74 KB, 17/10/06)
correzione compito 19/06/06
(pdf, it, 114 KB, 16/10/06)
dispense (versione aggiornata)
(pdf, it, 365 KB, 13/10/06)
esercizi disequazioni
(pdf, it, 48 KB, 06/10/06)
esercizi funzioni 1
(pdf, it, 58 KB, 06/10/06)
esercizi funzioni 2
(pdf, it, 58 KB, 06/10/06)
esercizi sulle funzioni
(pdf, it, 47 KB, 06/10/06)
note sulle disequazioni
(pdf, it, 79 KB, 06/10/06)
note sulle funzioni elementari
(pdf, it, 82 KB, 06/10/06)
soluzioni appello 20/10/06
(pdf, it, 37 KB, 06/11/06)
temi d'esame degli anni precedenti
(pdf, it, 195 KB, 22/09/06)
test di autovalutazione
(pdf, it, 119 KB, 18/09/06)
test di autovalutazione con soluzioni
(pdf, it, 121 KB, 19/09/06)
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