Overview
Syllabus
An Introduction to Sets (Set Theory)
Proper Subsets vs Improper Subsets | Set Theory
What is a Union? (Set Theory)
What is an Intersection? (Set Theory)
Union vs Intersection (Set Theory)
What is a Set Complement?
What is Set Subtraction?
What is the Symmetric Difference of 2 Sets?
What are Equal Sets?
How Many Subsets Does any Given Set Have
Why is the Empty Set a Subset of Every Set? | Set Theory, Subsets, Subset Definition
What is a Subset?
Even Numbers in Set Builder Notation
What is the Roster Method? (Roster Form) | Set Theory, Writing Sets, Expressing Sets
Set Union Using Venn Diagrams
Set Intersection Using Venn Diagrams
What is the Cardinality of a Set? | Set Theory, Empty Set
What is a Power Set? | Set Theory, Subsets, Cardinality
What are Disjoint Sets? | Set Theory
What is the Cartesian Product of Sets? | Set Theory
Cartesian Products with Empty Sets | Set Theory, Cartesian Product of Sets, Empty Set
Set Subtraction Using Venn Diagrams | Set Theory
Formula for Cardinality of Power Sets | Set Theory
What is the Power Set of the Empty Set? | Set Theory
How to Find the Median of a Data Set | Statistics
Universal Sets, Absolute Complements, and Venn Diagrams | Set Theory, Sets in Venn Diagrams
What are Elements of Sets? | Set Theory, Cardinality, Set Elements
Universal Set Example Problems | Set Builder Notation, Absolute Complement, Roster Notation
Graph the Set of Solutions to a System of Inequalities | Relations, Algebra, Domain and Range
Caridnality of the Union of Two Sets (Formula Explained) | Set Theory, Cardinality, Set Union
How to Identify the Elements of a Set | Set Theory
Finding the Number of Subsets of a Set (Example Problems)
What are Overlapping Sets? | Set Theory
Basic Set Operations as Venn Diagrams | Set Theory, Set Operations, Set Diagrams
What are Equivalent Sets? | Set Theory, Equipollent Sets, Set Equivalency
Independent Vertex Sets and Independence Numbers | Graph Theory
Counting Problem With Overlapping Sets | Inclusion-Exclusion Principle, Combinatorics
Number of Subsets Containing a Set of Elements | Set Theory, Combinatorics
Listing Subsets Using Tree Diagrams | Set Theory, Subsets, Power Sets
Proof: Subset is a Transitive Relation | Set Theory, Subsets, Transitivity
Proof: If A is a Subset of B then P(A) is a Subset of P(B) | Power Sets, Set Theory
Proof: A is a Subset of B iff A Union B Equals B | Set Theory, Subsets
Proof: A is a Subset of B iff A intersect B Equals A | Set Theory, Subsets
Proof: A is a Subset of B' iff A intersect B is Empty | Set Theory, Set Complements
Proof: A is a Subset of B iff B' is Subset of A' | Set Theory, Subsets, Set Complement
Proof: A is a Subset of B' iff B is a subset of A' | Set Theory, Set Complements
Proof: Idempotent Property of Set Union | Set Theory
Proof: Idempotent Property of Set Intersection | Set Theory
Resolving Sets and Metric Dimension of Graphs | Graph Theory
What are Supersets? | Set Theory, Subsets, Set Relations
Proof on Subsets and Union of Intersections | Set Theory, Set Equality
Proof: A' is a Subset of B iff AUB is Universal Set | Set Theory
Finding Power Set Examples | Set Theory, Subsets and Power Sets
Partitions of a Set | Set Theory
Finding a Set from its Intersection and Relative Complement | Set Theory
Proof: If P(A) is a Subset of P(B) then A is a Subset of B | Set Theory
Proof: Divisors of a Number are a Subset of the Divisors of its Square
Double Complement of a Set | Set Theory
Power Set of the Power Set of the Power Set of the Empty Set | Set Theory
Is Subset an Equivalence Relation? | Set Theory
Finding Cardinalities of Sets | Set Theory
How Many Proper Subsets Does a Set Have? | Set Theory
Why Every Set is a Subset of Itself | Set Theory
Counting Partitions of Sets and Bell Numbers | Combinatorics
Proof: If A is a Subset of B then C-B is a Subset of C-A | Set Theory
Proof: Set Intersection Distributes Over Union | Set Theory
Proof: Set Union Distributes Over Intersection | Set Theory
Complement of the Union of Complements | Set Theory
Set Complement Example Problems | Set Theory
Equal Symmetric Difference Implies Set Equality | Set Theory
A Union B Equals A Intersect B iff A=B | Set Theory
arguing sets joke
Proof: DeMorgan's Laws for Set Complement | Set Theory
Every Set is an Element of its Power Set | Set Theory
Proof: A=B iff P(A)=P(B) (Sets are Equal iff their Power Sets are Equal) | Set Theory
Empty Set vs Set Containing Empty Set | Set Theory
Power Set of Intersection Equals Intersection of Power Sets | Set Theory
Proof: A-B is a Subset of A union B | Set Theory
Proof: Cancellation Law for Cartesian Products | Set Theory
Odd Numbers in Set Builder Notation (Set Builder Form) | Set Theory
Disjoint Sets Examples and Non-Examples | Set Theory
Power Set of the Math Set {m, a, t, h} | Set Theory
Proof: Number of Subsets using Induction | Set Theory
Proof: Cartesian Product with Set Intersection | Set Theory
Cardinality of Sets with Repeated Elements | Set Theory
Proof: A'-B' = B-A (Double Inclusion) | Set Theory
Find All Subsets of a Set (Example Problems) | Set Theory Exercises
Taught by
Wrath of Math