Exam 2 Review Information

Exam 2 will be held on Friday, February 21st in class. It will be closed book and course notes.  However, you will be allowed to bring a single, ONE-SIDED sheet of paper (8.5" x 11") with notes of your creation.

Below are the highlights of each section:

Section 3.1

Topics: Definitions of sets, set operations (union, intersection, complement, cross product), power set, standard sets (N,R, etc).

Skills:

• Describe a set by listing elements and by a characteristic property.
• Prove that one set is a subset of another
• Find the power set of a set
• Generate the set produced through the standard binary and unary set operators.
• Draw a Venn diagram representing several sets

Section 4.1

• Definition of a binary relation
• Operations on binary relations on a set include
  • union
  • intersection
  • complementation.
• Be able to test an ordered pair for membership in a binary relation.
• Be able to test a binary relation for reflexivity, symmetry, transitivity, and antisymmetry.
• Calculate the closure of a relation with respect to reflexivity, symmetry, transitivity

Section 4.4

• Definition of a function
• Determine whether a relation is a function
• Properties of Functions
  • onto
  • one-to-one
  • bijection
  • composition