Basic Mathematics (2007/2008)

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Course code
4S00023
Name of lecturer
Francesca Mantese
Number of ECTS credits allocated
4
Academic sector
MAT/01 - MATHEMATICAL LOGIC
Language of instruction
Italian
Location
VERONA
Period
Periodo zero dal Sep 10, 2007 al Oct 1, 2007.

Lesson timetable

Periodo zero
Day Time Type Place Note
Monday 11:30 AM - 1:30 PM lesson Lecture Hall Gino Tessari  
Tuesday 11:30 AM - 1:30 PM lesson Lecture Hall Gino Tessari  
Wednesday 9:30 AM - 11:30 AM lesson Lecture Hall Gino Tessari  
Wednesday 2:30 PM - 4:30 PM lesson Lecture Hall Gino Tessari  
Thursday 11:30 AM - 1:30 PM lesson Lecture Hall Gino Tessari  
Friday 9:30 AM - 11:30 AM lesson Lecture Hall Gino Tessari  

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.

Assessment methods and criteria

Written test

Teaching aids

Documents

Studying