• Unit 6: Relations and Functions

    In this unit, you will learn about binary relations from a set  A to a set  B . Some of these relations are functions from  A to  B . Restricting our attention to relations from a set  A to the set  A , this unit discusses the properties of reflexivity(R), symmetry(S), anti-symmetry(A), and transitivity(T). Relations that satisfy R, S, and T are called equivalence relations, and those satisfying R, A, and T are called partial orderings.

    Completing this unit should take you approximately 4 hours.

    • 6.1: Binary Relations on a Set A

    • 6.2: Binary Relations from A to B

        • 6.2.1: Relations that Are Functions

        • 6.2.2: Injections, Surjections, and Bijections

      • 6.3: Equivalence Relations

      • 6.4: Partial Orderings

      • Unit 6 Assessment

        • Receive a grade
        • Receive a grade