20410617 - ME410 - ELEMENTS OF HIGHER ALGEBRA

The course aims to investigate notions and results of basic algebra and to elaborate on them in order to approach more advanced topics that may have an educational value.
The selected topics have a central place in the teaching of algebra in the secondary school. There will also be an attention to the applicative aspects of the chosen themes.

scheda docente | materiale didattico

Programma

Relations and functions
The natural numbers
The ring of integers and polynomials
Residue classes
Groups

Testi Adottati

G.M. Piacentini Cattaneo, Algebra, un approccio algoritmico, Decibel-Zanichelli, (1996)

I. N. Herstein, Algebra, Editori Riuniti, (2003)

Modalità Erogazione

Lectures in class on blackboard and exercise classes.

Modalità Valutazione

Written and oral exams. Two tests during the semester can replace the written exam.