12.1: Module 3 Overview

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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

$Finger hovering over digital icons on a screen$ The 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)

Mathematics for the Liberal Arts I. Provided by: Extended Learning Institute of Northern Virginia Community College. Located at: http://eli.nvcc.edu/. License: CC BY: Attribution

Image of Finger. Authored by: geralt. Located at: https://pixabay.com/en/finger-touch-hand-structure-769300/. License: Public Domain: No Known Copyright