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/03 - GEOMETRY MAT/02 - ALGEBRA
MAT/05 - MATHEMATICAL ANALYSIS

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

Lesson timetable

periodo zero
Day Time Type Place Note
Monday 2:30 PM - 5:30 PM lesson Lecture Hall A  
Tuesday 9:30 AM - 11:30 AM lesson Lecture Hall A from Sep 16, 2008  to Sep 29, 2008
Tuesday 2:30 PM - 5:30 PM lesson Lecture Hall A from Sep 16, 2008  to Sep 29, 2008
Thursday 1:30 PM - 3:30 PM lesson Lecture Hall A  
Friday 2:30 PM - 4:30 PM lesson Lecture Hall A  

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

Studying