Basic Mathematics (2006/2007)

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Course code
4S00023
Name of lecturer
Letizia Pellegrini
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
Zero period (only for 1st year of 3-year degree courses) dal Sep 18, 2006 al Oct 9, 2006.
Course news Seminars related to the course

Lesson timetable

Learning outcomes

The aim of the course is to introduce some basic mathematical concepts.

Syllabus

• Introduction to the set theory: definitions, notations and examples; subsets, union, intersection and relative complement, product of sets. Difference between classes and sets, Russell’s paradox. Numerical sets: natural numbers, integers, rational numbers, real numbers.
• 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 inverse function. Equalities and inequalities with exponential, logarithmic and trigonometric functions.
• The mathematical induction.
• Elements of mathematical logic: structures and languages; terms, quantifiers and formulas; interpretation of a formula, satisfaction and truth.

Assessment methods and criteria

Written and oral final examination.

Teaching aids

Documents

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