Enrollment year
2014/2015
Academic discipline
MAT/04 (COMPLEMENTARY MATHEMATICS)
Department
DEPARTMENT OF PHYSICS
Curriculum
DIDATTICA E STORIA DELLA FISICA
Period
1st semester (12/10/2015 - 22/01/2016)
Lesson hours
48 lesson hours
Prerequisites
The contents of a basic course of algebra.
Learning outcomes
The course aims to provide the tools for a critical analysis of some aspects of arithmetic and algebra in view of their didactical use
Course contents
After mentioning the set theory in its historical evolution and the Zermelo-Fraenkel axiomatic system, different possibilities of introductions of numerical sets (natural, integer, rational, real) are examined and compared. The course also deals with some aspects of arithmetics of natural numbers (including divisibility and prime numbers), the study of numbering systems, polynomials with coefficients in a field and their properties, algebraic and transcendent extensions of the rational field and some elements of elementary number theory.
Some subjects are also examined from a didactical point of view.
Teaching methods
Lectures and exercises
Reccomended or required readings
Notes of the course
Assessment methods
Written and oral exam
Further information
Written and oral exam
Sustainable development goals - Agenda 2030
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