# MAT 100 - Introduction to College Mathematics - Textbook

## Module 1: Set Theory - Learning Objectives

### 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

This module is divided into four sections/sub-modules:

#### Sub-Module 1: Basics of Set.

• What is set?
• Three ways to write a set: "verbal description", "roster form" , "set builder notation"
• Empty set, element of a set and the corresponding notation
• Subset and proper subset and its corresponding notation

#### Sub-Module 2: Union, intersection, complement and universal set.

• Union of sets
• Intersection of sets
• Complement of sets
• Universal sets
• Operation involving all of the above

#### Sub-Module 3: Venn diagram.

• What is Venn diagram and how to draw it
• How to represent different section in Venn diagram using set notation
• How to represent set operation using Venn diagram

Sub-Module 4: Survey problem.

• Survey questions involving two sets
• Survey questions involving three sets

## Sub-Module 3: Venn diagram

### Videos

Please watch these videos in the order they are given.

## Sub-Module 4: Survey

Videos

Please watch the videos in the order they are listed.