Lecture 1
Introductory remarks. Definitions and notation, Elementary set theory: subsets, the null set; union, intersection, difference and complement of sets, an easy proposition based on these definitions; Cartesian product
Lecture 2
Relations: definition and properties (reflexivity, symmetry, antisymmetry, transitivity); partial order and linear order relations; Hausdorff maximality priniciple; equivalence relations and examples.
Lecture 3
Mappings: definition, notation, examples; binary operations, projections;
Lecture 4
Definition of one-to-one (injective) and onto (surjective) maps; bijections; examples and counterexamples of bijections. Composition.