Set Theory
89 videos • 57,357 views • by Wrath of Math
All lessons on sets/set theory.
1
An Introduction to Sets (Set Theory)
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2
Proper Subsets vs Improper Subsets | Set Theory
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3
What is a Union? (Set Theory)
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4
What is an Intersection? (Set Theory)
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5
Union vs Intersection (Set Theory)
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6
What is a Set Complement?
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7
What is Set Subtraction?
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8
What is the Symmetric Difference of 2 Sets?
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9
What are Equal Sets?
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10
How Many Subsets Does any Given Set Have
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11
Why is the Empty Set a Subset of Every Set? | Set Theory, Subsets, Subset Definition
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12
What is a Subset?
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13
Even Numbers in Set Builder Notation
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14
What is the Roster Method? (Roster Form) | Set Theory, Writing Sets, Expressing Sets
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15
Set Union Using Venn Diagrams
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16
Set Intersection Using Venn Diagrams
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17
What is the Cardinality of a Set? | Set Theory, Empty Set
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18
What is a Power Set? | Set Theory, Subsets, Cardinality
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19
What are Disjoint Sets? | Set Theory
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20
What is the Cartesian Product of Sets? | Set Theory
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21
Cartesian Products with Empty Sets | Set Theory, Cartesian Product of Sets, Empty Set
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22
Set Subtraction Using Venn Diagrams | Set Theory
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23
Formula for Cardinality of Power Sets | Set Theory
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24
What is the Power Set of the Empty Set? | Set Theory
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25
How to Find the Median of a Data Set | Statistics
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26
Universal Sets, Absolute Complements, and Venn Diagrams | Set Theory, Sets in Venn Diagrams
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27
What are Elements of Sets? | Set Theory, Cardinality, Set Elements
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28
Universal Set Example Problems | Set Builder Notation, Absolute Complement, Roster Notation
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29
Graph the Set of Solutions to a System of Inequalities | Relations, Algebra, Domain and Range
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30
Caridnality of the Union of Two Sets (Formula Explained) | Set Theory, Cardinality, Set Union
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31
How to Identify the Elements of a Set | Set Theory
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32
Finding the Number of Subsets of a Set (Example Problems)
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33
What are Overlapping Sets? | Set Theory
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34
Basic Set Operations as Venn Diagrams | Set Theory, Set Operations, Set Diagrams
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35
What are Equivalent Sets? | Set Theory, Equipollent Sets, Set Equivalency
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36
Independent Vertex Sets and Independence Numbers | Graph Theory
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37
Counting Problem With Overlapping Sets | Inclusion-Exclusion Principle, Combinatorics
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38
Number of Subsets Containing a Set of Elements | Set Theory, Combinatorics
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39
Listing Subsets Using Tree Diagrams | Set Theory, Subsets, Power Sets
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40
Proof: Subset is a Transitive Relation | Set Theory, Subsets, Transitivity
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41
Proof: If A is a Subset of B then P(A) is a Subset of P(B) | Power Sets, Set Theory
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42
Proof: A is a Subset of B iff A Union B Equals B | Set Theory, Subsets
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43
Proof: A is a Subset of B iff A intersect B Equals A | Set Theory, Subsets
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44
Proof: A is a Subset of B' iff A intersect B is Empty | Set Theory, Set Complements
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45
Proof: A is a Subset of B iff B' is Subset of A' | Set Theory, Subsets, Set Complement
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46
Proof: A is a Subset of B' iff B is a subset of A' | Set Theory, Set Complements
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47
Proof: Idempotent Property of Set Union | Set Theory
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48
Proof: Idempotent Property of Set Intersection | Set Theory
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49
What are Vertex Separating Sets? | Graph Theory
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50
Resolving Sets and Metric Dimension of Graphs | Graph Theory
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51
What are Supersets? | Set Theory, Subsets, Set Relations
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52
Proof on Subsets and Union of Intersections | Set Theory, Set Equality
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53
Proof: A' is a Subset of B iff AUB is Universal Set | Set Theory
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54
Finding Power Set Examples | Set Theory, Subsets and Power Sets
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55
Partitions of a Set | Set Theory
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56
Finding a Set from its Intersection and Relative Complement | Set Theory
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57
Proof: If P(A) is a Subset of P(B) then A is a Subset of B | Set Theory
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58
Proof: Divisors of a Number are a Subset of the Divisors of its Square
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59
Double Complement of a Set | Set Theory
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60
Power Set of the Power Set of the Power Set of the Empty Set | Set Theory
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61
Is Subset an Equivalence Relation? | Set Theory
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62
Finding Cardinalities of Sets | Set Theory
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63
How Many Proper Subsets Does a Set Have? | Set Theory
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64
Why Every Set is a Subset of Itself | Set Theory
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65
Counting Partitions of Sets and Bell Numbers | Combinatorics
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66
Proof: If A is a Subset of B then C-B is a Subset of C-A | Set Theory
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67
Proof: Set Intersection Distributes Over Union | Set Theory
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68
Proof: Set Union Distributes Over Intersection | Set Theory
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69
Complement of the Union of Complements | Set Theory
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70
Set Complement Example Problems | Set Theory
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71
Equal Symmetric Difference Implies Set Equality | Set Theory
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72
A Union B Equals A Intersect B iff A=B | Set Theory
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73
arguing sets joke
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74
Proof: DeMorgan's Laws for Set Complement | Set Theory
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75
Every Set is an Element of its Power Set | Set Theory
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76
Proof: A=B iff P(A)=P(B) (Sets are Equal iff their Power Sets are Equal) | Set Theory
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77
Empty Set vs Set Containing Empty Set | Set Theory
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78
Power Set of Intersection Equals Intersection of Power Sets | Set Theory
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79
Proof: A-B is a Subset of A union B | Set Theory
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80
Proof: Cancellation Law for Cartesian Products | Set Theory
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81
Odd Numbers in Set Builder Notation (Set Builder Form) | Set Theory
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82
Disjoint Sets Examples and Non-Examples | Set Theory
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83
Power Set of the Math Set {m, a, t, h} | Set Theory
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84
Proof: Number of Subsets using Induction | Set Theory
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85
Proof: Cartesian Product with Set Intersection | Set Theory
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86
Cardinality of Sets with Repeated Elements | Set Theory
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87
Proof: A'-B' = B-A (Double Inclusion) | Set Theory
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88
Find All Subsets of a Set (Example Problems) | Set Theory Exercises
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89
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