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Премиум
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    Introduction
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    Definition of a Set
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    Number Sets
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    Set Equality
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    Set-Builder Notation
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    Types of Sets
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    Subsets
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    Power Set
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    Ordered Pairs
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    Cartesian Products
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    Cartesian Plane
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    Venn Diagrams
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    Set Operations (Union, Intersection)
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    Properties of Union and Intersection
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    Set Operations (Difference, Complement)
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    Properties of Difference and Complement
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    De Morgan’s Law
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    Partition of Sets
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    Extra Practice Problems
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    Introduction
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    Statements
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    Compound Statements
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    Truth Tables
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    Examples
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    Logical Equivalences
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    Tautologies and Contradictions
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    De Morgan’s Laws in Logic
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    Logical Equivalence Laws
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    Conditional Statements
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    Negation of Conditional Statements
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    Converse and Inverse
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    Biconditional Statements
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    Examples
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    Digital Logic Circuits
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    Black Boxes and Gates
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    Boolean Expressions
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    Truth Tables and Circuits
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    Equivalent Circuits
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    NAND and NOR Gates
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    Quantified Statements - ALL
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    Quantified Statements - THERE EXISTS
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    Negations of Quantified Statements
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    Introduction
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    Parity
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    Divisibility
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    Prime Numbers
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    Prime Factorization
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    GCD & LCM
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    Intro
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    Terminologies
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    Direct Proofs
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    Proofs by Contrapositive
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    Proofs by Contradiction
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    Exhaustion Proofs
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    Existence & Uniqueness Proofs
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    Proofs by Induction
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    Examples
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    Intro
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    Functions
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    Evaluating a Function
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    Domains
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    Range
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    Function Composition
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    Function Combination
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    Even and Odd Functions
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    One to One Functions
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    Inverse Functions
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    Intro
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    The Language of Relations
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    Relations on Sets
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    The Inverse of a Relation
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    Reflexivity, Symmetry and Transitivity
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    Examples
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    Properties of Equality & Less Than
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    Equivalence Relation
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    Equivalence Class
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    Intro
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    Graphs
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    Subgraphs
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    Degree
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    Sum of Degrees of Vertices Theorem
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    Adjacency and Incidence
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    Adjacency Matrix
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    Incidence Matrix
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    Isomorphism
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    Walks, Trails, Paths, and Circuits
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    Examples
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    Eccentricity, Diameter, and Radius
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    Connectedness
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    Euler Trails and Circuits
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    Fleury’s Algorithm
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    Hamiltonian Paths and Circuits
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    Ore's Theorem
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    The Shortest Path Problem
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    Intro
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    Terminologies
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    Mean
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    Median
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    Mode
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    Range
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    Outlier
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    Variance
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    Standard Deviation
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    Intro
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    Factorials
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    The Fundamental Counting Principle
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    Permutations
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    Combinations
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    Pigeonhole Principle
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    Pascal's Triangle
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    Intro
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    Sequence
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    Arithmetic Sequences
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    Geometric Sequences
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    Partial Sums of Arithmetic Sequences
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    Partial Sums of Geometric Sequences
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    Series
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    Bonus Lecture