Basic Mathematics (2006/2007)

Course not running

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
Period
Zero period (only for 1st year of 3-year degree courses) dal Sep 18, 2006 al Oct 9, 2006.

Lesson timetable

Zero period (only for 1st year of 3-year degree courses)
Day Time Type Place Note
Monday 3:30 PM - 5:30 PM lesson Lecture Hall A  
Tuesday 11:30 AM - 1:30 PM lesson Lecture Hall A  
Tuesday 2:30 PM - 4:30 PM lesson Lecture Hall A  
Wednesday 9:30 AM - 11:30 AM lesson Lecture Hall A  
Thursday 9:30 AM - 11:30 AM lesson Lecture Hall A  
Friday 11:30 AM - 1:30 PM lesson Lecture Hall A  

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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