Introduction

In this first lesson for Finite Mathematics we introduce the basic concepts and tools used in Set theory. The lesson begins with a discussion on what a set is, how it can be identified and explains the difference between finite and infinite sets. From there it moves to a discussion of the ways that two sets relate; this includes equality and other relationships. Some operations on sets are described next with a focus on "union" and "intersection". And finally the discussion turns to a pictorial representation of sets in Venn diagrams. Welcome and enjoy, as I do, the wonder of sets.

For each lesson, read the Learning Objectives and Textbook Reading Assignment first and then read the Lesson notes in ANGEL. Be sure to work through the Example problems as you read your textbook assignment. You should do the same with the examples in your online Lesson notes.

Learning Objectives

• Utilize both the roster and set-builder notation to describe a set of elements.
• Compare and contrast finite and infinite sets.
• Define the empty set and designate it with the proper notation.
• Recognize the equality of two sets.
• Recognize when one set is a subset of another set.
• Define the union and intersection of sets.
• Describe the properties of set union and intersection.
• Identify the difference between two sets.
• State the term disjoint set.
• Create Venn diagrams and use them properly.