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a 0 level mathematics course
editor Prof. L. De Menna
responsible Prof. N. Fusco – Università di Napoli FEDERICO II - Italy
content realization Prof. N. Fusco
technical realization Mr. A. de Peppo, Mr. R. De Menna, Dr. F. Pietrafesa, Mr. M. Tomacelli

lesson 1 the concept of set
operations between sets
cartesian products
cardinality of a set

lesson 2 natural numbers, integers and rational numbers
geometric representation of rational numbers
real numbers

lesson 3 operations with real numbers
the induction principle

lesson 4 decimal representation of numbers - periodic numbers
other numeration systems

lesson 5 the absolute value of a number
intervals of real numbers
operations with numeric sets
maxima and minima
completness property of real numbers

lesson 6 lowest upper bound and greates lower bound of a set
elements of combinatorial analysis

lesson 7 binomial formula
dispositions with repetitions

lesson 8 cartesian coordinates in the plane

lesson 9 the concept of function
monotone functions

lesson 10 composition of functions
one-to-one functions
onto functions

lesson 11 one-to-one and onto functions
inverse functions

This content has been produced or adapted by Università di Napoli FEDERICO II- NETTUNO technological pole
with the European Union financial support within the IST 5th Framework Program GUARDIANS project.