Module 3 Overview

What You’ll Learn To Do: Describe set theory and perform operations.

Learning Objectives

  • Describe memberships of sets, including the empty set, using proper notation, and decide whether given items are members and determine the cardinality of a given set.
  • Describe the relations between sets regarding membership, equality, subset, and proper subset, using proper notation.
  • Perform the operations of union, intersection, complement, and difference on sets using proper notation.
  • Be able to draw and interpret Venn diagrams of set relations and operations and use Venn diagrams to solve problems.
  • Recognize when set theory is applicable to real-life situations, solve real-life problems, and communicate real-life problems and solutions to others.

Learning Activities

Finger hovering over digital icons on a screenThe learning activities for this module include:

Reading Assignments and Videos

  • Read: Set Theory
  • Read: Supplemental Videos for Set Theory
  • Read: Verbal, Roster, and Set-Builder Notation for a Set
  • Read: Consider a Set
  • Review: Helpful Links

Homework Assignments

  • Submit: Set Theory Homework #1 (16 points)
  • Submit: Set Theory Homework #2 (14 points)
  • Discuss: Application of Set Theory (20 points)