General description
This course is an introduction to abstract algebra. The course focuses on
algebraic reasoning and basic algebraic structures. Topics include: Logic
algebra, sets, function, relations, set of positive integers and some of its basic
properties, mathematical induction, counting methods, group, subgroup,
isomorphism’s theorems, rings, the ring of positive integers, the Euclidian
division, Euclidian algorithm and an introduction to the notion of fields.
This course prepare students to apply the basics of Algebraic structures in
their domains of specialties.