Most of the videos support the following free discrete math textbook. 
Discrete Mathematics, An Open Introduction (3rd Edition)
by Oscar Levin

Mathematical Statements  (Playlist
What is Discrete Mathematics?
Mathematical Statements and Logic Connectives
Truth Conditions for Connectives
Implications and Truth Conditions for Implications
Write Math Statements As Symbols and Symbols as Math Statements
Determine Truth Values of Statements from a Given Implication
Introduction to The Converse and Contrapositive of an Implication
Determine the Converse, Inverse, and Contrapositive of an Implication
Converse and Contrapositive Example (Chinese Food and Milk)
Converse and Contrapositive: Drawing Conclusion from an Implication
If And Only If Statements
Given the Truth Value of an Implication and Converse, Find the Truth Value of If And Only If Statements
Necessary and Sufficient Statements
Equivalent Statements to an Implication
Introduction to Predicates and Quantifiers
Predicate and Quantifier Concept Check 1
Predicate and Quantifier Concept Check 2
Determine if Quantified Statements are True or False from a Table

Introduction toSets (Playlist)
Introduction to Sets and Set Notation
Determine the Union, Intersection, and Difference of Two Set Given as Lists
Determine Sets Given Using Set Notation (Ex 1)
Determine Sets Given Using Set Notation (Ex 2)
https://youtu.be/ymRkaRRT-ZYDetermine the Least Element in a Set Given using Set Notation.
Determine the Power Set of a Set and the Cardinality of a Power Set
Determine the Cardinality of Sets Given as Lists
Determine the Cardinality of Sets: Set Notation, Intersection
Determine Sets Involving Unions, Intersections, and Compliments
Determine Sets Involving Unions, Intersections, and Compliments Using a Venn Diagram
https://youtu.be/xqVRWxRmS98Shading Venn Diagrams with Two and Three Sets: Unions and Intersections
Shading Venn Diagrams with Two and Three Sets: Complements
Shading Venn Diagrams with Two and Three Sets: Set Differences
Shading Venn Diagrams with Two and Three Sets: Complements, Intersections, Unions
De Morgan's Laws with Venn Diagrams
De Morgan's Laws: Set Example
Find a Set with Greatest Cardinality that is a Subset of Two Given Sets (Lists)
Find a Set with Greatest Cardinality that is a Subset of Two Given Sets (Set Notation)
Find a Set with Least Cardinality that has Two Given Subsets (Lists)
Find How Many Sets Are a Subset of a Given Set and Have a Given Subset

Functions (Playlist)

Introduction to Functions (Discrete Math)
Two Line Notation for a Function: Inputs and Outputs
Describing Functions (Discrete Math)
Recursive Functions (Discrete Math)
Determine Function Values for a Recursive Functions
Surjective, Injective, and Bijective Functions
Determine if Functions Given in Two Line Notation are Surjective, Injective, and Bijective
Determine if Various Functions are Surjective, Injective, and Bijective
List All Possible Function Given Domain an Codomain Then Determine if Surjective, Injective, and Bijective (8)
List All Possible Function Given Domain an Codomain Then Determine if Surjective, Injective, and Bijective (9)
Image of a Subset of the Domain and Inverse Image of a Subset of the Codomain

Counting (Playlist)

Introduction to Counting Using Additive and Multiplicative Principles
Counting Principle With Playing Cards: Picking 1 and 2 Cards (Not Disjoint)
Counting: Neck Wear and Outfits (Additive and Multiplicative Principles)
Counting: Number of Hexadecimal Numbers with Restrictions (And/Or)
Counting: Number of Hexadecimal Strings with Restrictions (And/Or)
The Cardinality of the Union of Two Sets
Determine the Number of Elements in a Large Set that are Multiples of 3 or 5
The Cardinality of the Union of Three Sets
Determine the Number of Elements in a Large Set that Multiples of 3 or 5 or 8
Determine the Greatest and Least Values of the Cardinality of an Intersection and Union
Determine Sum of the Cardinality of the Union and Intersection of Two Sets
The Cardinality of the Union of Three Sets Application: TV Shows
Counting Subsets and Subsets of a Specific Cardinality
Determine How Many Subsets Meet Various Conditions (1)
Determine How Many Subsets Meet Various Conditions (2)
Determine How Many Subsets Have More Than a Given Cardinality
Introduction to Bit Strings
Determine the Number of 10-Bit Strings Under Various Conditions
Problem Solving with Bit Strings - Coin Problems
Determine the Number of 9-Bit Strings That Have More Than a Given Number of 1's

 

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