Algebra 1

The aim of the course is to provide an Introduction to Mathematics and its fundamental constructions: numbers and algebraic structures. The construction of the set of natural numbers is made via a set-theoretical approach. The concept of algebraic structure is also central: through it, several constructions of sets of numbers as, for instance, integers and rationals, are characterized.

Knowledge of the basics of Algebra, of the main abstract algebraic structures through the study of integers, polynomials in one variable and their factor rings. Finally, the basic properties of modules are treated.