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Invidious > Channel > Dr. Trefor Bazett

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YT 5 minutes 59 seconds Dr. Trefor Bazett Intro to Discrete Math - Welcome to the Course! YT 7 minutes 12 seconds Dr. Trefor Bazett Intro to Sets | Examples, Notation & Properties YT 5 minutes 15 seconds Dr. Trefor Bazett Set-Roster vs Set-Builder notation

YT 4 minutes 7 seconds Dr. Trefor Bazett The Empty Set & Vacuous Truth YT 7 minutes 10 seconds Dr. Trefor Bazett Cartesian Product of Two Sets A x B YT 6 minutes 39 seconds Dr. Trefor Bazett Relations between two sets | Definition + First Examples

YT 5 minutes 51 seconds Dr. Trefor Bazett The intuitive idea of a function YT 5 minutes 47 seconds Dr. Trefor Bazett Formal Definition of a Function using the Cartesian Product YT 5 minutes 9 seconds Dr. Trefor Bazett Example: Is this relation a function?

YT 6 minutes 19 seconds Dr. Trefor Bazett Intro to Logical Statements YT 5 minutes 53 seconds Dr. Trefor Bazett Intro to Truth Tables | Negation, Conjunction, and Disjunction YT 3 minutes 24 seconds Dr. Trefor Bazett Truth Table Example: ~p V ~q

YT 3 minutes 42 seconds Dr. Trefor Bazett Logical Equivalence of Two Statements YT 3 minutes 41 seconds Dr. Trefor Bazett Tautologies and Contradictions YT 5 minutes 29 seconds Dr. Trefor Bazett 3 Ways to Show a Logical Equivalence | Ex: DeMorgan's Laws

YT 7 minutes 9 seconds Dr. Trefor Bazett Conditional Statements: if p then q YT 2 minutes 1 second Dr. Trefor Bazett Vacuously True Statements YT 2 minutes 52 seconds Dr. Trefor Bazett Negating a Conditional Statement

YT 5 minutes Dr. Trefor Bazett Contrapositive of a Conditional Statement YT 5 minutes 5 seconds Dr. Trefor Bazett The converse and inverse of a conditional statement YT 2 minutes 54 seconds Dr. Trefor Bazett Biconditional Statements | "if and only if"

YT 8 minutes 44 seconds Dr. Trefor Bazett Logical Arguments - Modus Ponens & Modus Tollens YT 3 minutes 23 seconds Dr. Trefor Bazett Logical Argument Forms: Generalizations, Specialization, Contradiction YT 2 minutes 13 seconds Dr. Trefor Bazett Analyzing an argument for validity

YT 6 minutes 4 seconds Dr. Trefor Bazett Predicates and their Truth Sets YT 9 minutes 32 seconds Dr. Trefor Bazett Universal and Existential Quantifiers, ∀ "For All" and ∃ "There Exists" YT 8 minutes 3 seconds Dr. Trefor Bazett Negating Universal and Existential Quantifiers

YT 8 minutes 35 seconds Dr. Trefor Bazett Negating Logical Statements with Multiple Quantifiers YT 3 minutes 27 seconds Dr. Trefor Bazett Universal Conditionals P(x) implies Q(x) YT 7 minutes 37 seconds Dr. Trefor Bazett Necessary and Sufficient Conditions

YT 3 minutes 23 seconds Dr. Trefor Bazett Formal Definitions in Math | Ex: Even & Odd Integers YT 8 minutes 35 seconds Dr. Trefor Bazett How to Prove Math Theorems | 1st Ex: Even + Odd = Odd YT 18 minutes 41 seconds Dr. Trefor Bazett Step-By-Step Guide to Proofs | Ex: product of two evens is even

YT 6 minutes 40 seconds Dr. Trefor Bazett Rational Numbers | Definition + First Proof YT 11 minutes 9 seconds Dr. Trefor Bazett Proving that divisibility is transitive YT 8 minutes 18 seconds Dr. Trefor Bazett Disproving implications with Counterexamples

YT 5 minutes 41 seconds Dr. Trefor Bazett Proof by Division Into Cases YT 9 minutes Dr. Trefor Bazett Proof by Contradiction | Method & First Example YT 3 minutes 38 seconds Dr. Trefor Bazett Proof by Contrapositive | Method & First Example

YT 9 minutes 30 seconds Dr. Trefor Bazett Quotient-Remainder Theorem and Modular Arithmetic YT 7 minutes 9 seconds Dr. Trefor Bazett Proof: There are infinitely many primes numbers YT 6 minutes 14 seconds Dr. Trefor Bazett Introduction to sequences

YT 3 minutes 50 seconds Dr. Trefor Bazett The formal definition of a sequence. YT 9 minutes 20 seconds Dr. Trefor Bazett The sum and product of finite sequences YT 12 minutes 15 seconds Dr. Trefor Bazett Intro to Mathematical Induction

YT 6 minutes 34 seconds Dr. Trefor Bazett Induction Proofs Involving Inequalities. YT 10 minutes 9 seconds Dr. Trefor Bazett Strong Induction // Intro and Full Example YT 7 minutes 37 seconds Dr. Trefor Bazett Recursive Sequences

YT 6 minutes 23 seconds Dr. Trefor Bazett The Miraculous Fibonacci Sequence YT 6 minutes 36 seconds Dr. Trefor Bazett Prove A is a subset of B with the ELEMENT METHOD YT 3 minutes 1 second Dr. Trefor Bazett Proving equalities of sets using the element method

YT 5 minutes 7 seconds Dr. Trefor Bazett The union of two sets YT 5 minutes 47 seconds Dr. Trefor Bazett The Intersection of Two Sets YT 2 minutes 50 seconds Dr. Trefor Bazett Universes and Complements in Set Theory

YT 3 minutes 42 seconds Dr. Trefor Bazett Using the Element Method to prove a Set Containment w/ Modus Tollens YT 14 minutes 43 seconds Dr. Trefor Bazett Power Sets and the Cardinality of the Continuum YT 2 minutes 49 seconds Dr. Trefor Bazett Relations and their Inverses

YT 6 minutes 54 seconds Dr. Trefor Bazett Reflexive, Symmetric, and Transitive Relations on a Set YT 4 minutes 36 seconds Dr. Trefor Bazett Equivalence Relations - Reflexive, Symmetric, and Transitive YT 3 minutes 40 seconds Dr. Trefor Bazett You need to check EVERY spot for reflexivity, symmetry, and transitivity

YT 8 minutes 52 seconds Dr. Trefor Bazett Introduction to probability // Events, Sample Space, Formula, Independence YT 2 minutes 2 seconds Dr. Trefor Bazett Example: Computing Probabilities using P(E)=N(E)/N(S) YT 6 minutes 22 seconds Dr. Trefor Bazett What is the probability of guessing a 4 digit pin code?

YT 11 minutes 7 seconds Dr. Trefor Bazett Counting with Triple Intersections // Example & Formula YT 6 minutes 53 seconds Dr. Trefor Bazett Permutations: How many ways to rearrange the letters in a word? YT 5 minutes 55 seconds Dr. Trefor Bazett The summation rule for disjoint unions

YT 7 minutes 32 seconds Dr. Trefor Bazett Counting formula for two intersecting sets: N(A union B)=N(A)+N(B)-N(A intersect B) YT 6 minutes 33 seconds Dr. Trefor Bazett Combinations Formula: Counting the number of ways to choose r items from n items. YT 7 minutes 4 seconds Dr. Trefor Bazett How many ways are there to reorder the word MISSISSIPPI? // Choose Formula Example

YT 17 minutes 18 seconds Dr. Trefor Bazett Counting and Probability Walkthrough YT 6 minutes 14 seconds Dr. Trefor Bazett Intro to Conditional Probability YT 6 minutes 16 seconds Dr. Trefor Bazett Two Conditional Probability Examples (what's the difference???)

YT 9 minutes 37 seconds Dr. Trefor Bazett Conditional Probability With Tables | Chance of an Orange M&M??? YT 5 minutes 31 seconds Dr. Trefor Bazett Bayes' Theorem - The Simplest Case YT 12 minutes 37 seconds Dr. Trefor Bazett Bayes' Theorem Example: Surprising False Positives

YT 8 minutes 32 seconds Dr. Trefor Bazett Bayes' Theorem - Example: A disjoint union YT 13 minutes 26 seconds Dr. Trefor Bazett IS CHESS A GAME OF CHANCE? Classical vs Frequentist vs Bayesian Probability YT 11 minutes 25 seconds Dr. Trefor Bazett Intro to Markov Chains & Transition Diagrams

YT 6 minutes 54 seconds Dr. Trefor Bazett Markov Chains & Transition Matrices YT 14 minutes 23 seconds Dr. Trefor Bazett Intro to Linear Programming YT 5 minutes 53 seconds Dr. Trefor Bazett Intro to Graph Theory | Definitions & Ex: 7 Bridges of Konigsberg

YT 4 minutes 3 seconds Dr. Trefor Bazett Properties in Graph Theory: Complete, Connected, Subgraph, Induced Subgraph YT 4 minutes 57 seconds Dr. Trefor Bazett Degree of Vertices | Definition, Theorem & Example | Graph Theory YT 6 minutes 24 seconds Dr. Trefor Bazett Euler Paths & the 7 Bridges of Konigsberg | Graph Theory

YT 4 minutes 22 seconds Dr. Trefor Bazett The End of Discrete Math - Congrats! Some final thoughts...