UP1-PROG-27-DU2SE04-105 - DU Social sciences:Mathematical models in economic & finance;UP1-PROG-27-ERMXX27-106 - Programme échange Erasmus Mundus QEM
Course Objective:
This course reviews basic notions of Logic and Set Theory that will be
needed as background for most of the advanced mathematic courses. It
also aims to familiarize students with abstract mathematical thinking.
General Presentation:
Basic set theory: Sets and elements, subsets, Venn diagrams, set operations, algebra of sets, power sets.
Relations: Product sets, relations, types of relations
(reflexive, symmetric, antisymmetric, transitive, complete), equivalence
relation, partitions, partial ordering, preorder.
Functions: Direct image, inverse image, functions as relations,
composition, graph, one-to-one, onto and invertible functions, inverse
function.
Logic and propositional calculus: Propositions, necessary and
suficient conditions, basic logical operations (conjunction,
disjunction, negation) and their truth tables, tautologies,
contradictions and equivalence, algebra of propositions. Quantifiers,
quantified statement and its negation.
Informations sur l'espace de cours
Nom | Archive année 2017-2018 DU Social sciences:Mathematical models in ecomics & finance - Logic and set |
Nom abrégé | UP1-PROG-ETP-27U1-104-01 - Logic and set |
Groupes utilisateurs inscrits | Consultation des ressources, participation aux activités : aucune cohorte inscrite. Consultation des ressources uniquement : aucune cohorte inscrite. |
Rattachements à l'offre de formation
Élément pédagogique | UP1-PROG-ETP-27U1-104 - |
Chemin complet | > Année 2022-2023 > Paris 1 > Mathématiques et informatique > UP1-PROG-27-DU2SE04-105 Référence cassée > UP1-PROG-ETP-27U1-104 Référence cassée |
Élément pédagogique | UP1-PROG-ETP-27ERM-106 - Programme échange Erasmus Mundus QEM |
Chemin complet | > Année 2022-2023 > Paris 1 > Mathématiques et informatique > Programme échange Erasmus Mundus QEM > Programme échange Erasmus Mundus QEM |