**2.1 Sets: A Problem-Solving Tool**

*Section Objectives that accomplish the course objectives for this Unit*

- Determine if a set is well defined and identify its elements.
- Describe a set in words, by listing its elements (roster method) and by using set builder notation.
- Determine if two sets are equal.
- Find the number of subsets of a set with n elements and list them.
- Solve problems involving the subsets of a set.

Sets: Definition, Description, Roster Form & Set-Builder Form [allow 13:15 min]

Sets: Equal Sets, Subsets & Proper Subsets [allow 9:44 min]

Sets: Universal Set, Empty Set & Number of Possible Subsets [allow 14:28 min]

**2.2 Set Operations**

*Section Objectives that accomplish the course objectives for this Unit*

- Find the intersection and the union of two or more sets.
- Find the complement of a set.
- Find the difference of two sets.
- Solve applications involving sets, unions, and intersections.

Intersection & Union [allow 13:21 min]

Complement, Difference & DeMorgan’s Law [allow 15:35 min]

**2.3 Venn Diagrams**

*Section Objectives that accomplish the course objectives for this Unit*

- Use Venn diagrams to visualize relationships between sets.
- Use Venn diagrams to verify the equality of sets.
- Solve problems using Venn diagrams.

Drawing Venn Diagrams [allow 6:11 min]

Verifying Equality with Venn Diagrams [allow 14:32 min]

**2.4 The Number of Elements in a Set: ****A Problem-Solving Tool**

*Section Objectives that accomplish the course objectives for this Unit*

- Use Venn diagrams to find the number of elements in a set.
- Use Venn diagrams to solve applications involving surveys.

Finding the number of elements in the union [allow 8:48 min]

Survey Problems [allow 13:31 min]

**2.5 Infinite Sets**

*Section Objectives that accomplish the course objectives for this Unit*

- Determine the cardinal number of a set and decide whether two sets have the same cardinal number.
- Determine if two sets are equivalent.
- Determine if a set is finite or infinite.

Equivalent Sets & One-to-One Correspondence [allow 4:23 min]

Infinite Sets [allow 6:14 min]

Denumerable or Countable Sets [allow 7:05 min]