The goal of this course is to engage students in learning activities whereby they address problems using their conceptual mathematical knowledge. The activities address socio-historical meaning of numbers as a door to set theory. Students will experience mathematics as a body of knowledge that makes sense in people’s lives. Upon successful completion of this course, students will be able to: • create counting systems • understand basic notions of set theory: Membership, subsets, Venn diagrams, Lower/Upper bound, Smallest/Largest element, Intersection, Union, inclusion, Complementary, Cartesian product… • define and handle relations and functions: domain, range, codomain, bijection, injection, and surjection. • model situations as sets and relations.

Temps présentiel : 25 heures

Charge de travail étudiant : 100 heures

Méthode(s) d'évaluation : Examen écrit

Référence :
Warner, S. (2019). Set Theory for Beginners: A Rigorous Introduction to Sets, Relations, Partitions, Functions, Induction, Ordinals, Cardinals, Martin’s Axiom, and Stationary Sets. Stoll, R. R. (1979). Set Theory and Logic (Revised ed. edition). Dover Publications. [Chapter 1].