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Mathematics LibreTexts

12.1: Module 3 Overview

  • Page ID
    51644
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    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)
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