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  1. 1 5:59 Intro to Discrete Math – Welcome to the Course! Dr. Trefor Bazett · 781.9K views
  2. 2 7:12 Intro to Sets | Examples, Notation & Properties Dr. Trefor Bazett · 345.4K views
  3. 3 5:15 Set-Roster vs Set-Builder notation Dr. Trefor Bazett · 191.9K views
  4. 4 4:07 The Empty Set & Vacuous Truth Dr. Trefor Bazett · 149.9K views
  5. 5 7:10 Cartesian Product of Two Sets A x B Dr. Trefor Bazett · 231.6K views
  6. 6 6:39 Relations between two sets | Definition + First Examples Dr. Trefor Bazett · 154.8K views
  7. 7 5:51 The intuitive idea of a function Dr. Trefor Bazett · 95.5K views
  8. 8 5:47 Formal Definition of a Function using the Cartesian Product Dr. Trefor Bazett · 88.4K views
  9. 9 5:09 Example: Is this relation a function? Dr. Trefor Bazett · 65.9K views
  10. 10 6:19 Intro to Logical Statements Dr. Trefor Bazett · 300.1K views
  11. 11 5:53 Intro to Truth Tables | Negation, Conjunction, and Disjunction Dr. Trefor Bazett · 345.4K views
  12. 12 3:24 Truth Table Example: ~p V ~q Dr. Trefor Bazett · 171.7K views
  13. 13 3:42 Logical Equivalence of Two Statements Dr. Trefor Bazett · 149.8K views
  14. 14 3:41 Tautologies and Contradictions Dr. Trefor Bazett · 258.6K views
  15. 15 5:29 3 Ways to Show a Logical Equivalence | Ex: DeMorgan’s Laws Dr. Trefor Bazett · 252.9K views
  16. 16 7:09 Conditional Statements: if p then q Dr. Trefor Bazett · 950.1K views
  17. 17 2:01 Vacuously True Statements Dr. Trefor Bazett · 124.7K views
  18. 18 2:52 Negating a Conditional Statement Dr. Trefor Bazett · 170.6K views
  19. 19 5:00 Contrapositive of a Conditional Statement Dr. Trefor Bazett · 117.1K views
  20. 20 5:05 The converse and inverse of a conditional statement Dr. Trefor Bazett · 83.8K views
  21. 21 2:54 Biconditional Statements | “if and only if” Dr. Trefor Bazett · 200.2K views
  22. 22 8:44 Logical Arguments – Modus Ponens & Modus Tollens Dr. Trefor Bazett · 480.3K views
  23. 23 3:23 Logical Argument Forms: Generalizations, Specialization, Contradiction Dr. Trefor Bazett · 86.8K views
  24. 24 6:04 Predicates and their Truth Sets Dr. Trefor Bazett · 101.3K views
  25. 25 9:32 Universal and Existential Quantifiers, ∀ “For All” and ∃ “There Exists” Dr. Trefor Bazett · 447.4K views
  26. 26 8:03 Negating Universal and Existential Quantifiers Dr. Trefor Bazett · 179.7K views
  27. 27 8:35 Negating Logical Statements with Multiple Quantifiers Dr. Trefor Bazett · 99.5K views
  28. 28 3:27 Universal Conditionals P(x) implies Q(x) Dr. Trefor Bazett · 58.1K views
  29. 29 7:37 Necessary and Sufficient Conditions Dr. Trefor Bazett · 155.8K views
  30. 30 3:23 Formal Definitions in Math | Ex: Even & Odd Integers Dr. Trefor Bazett · 48.2K views
  31. 31 8:35 How to Prove Math Theorems | 1st Ex: Even + Odd = Odd Dr. Trefor Bazett · 66.3K views
  32. 32 18:41 Step-By-Step Guide to Proofs | Ex: product of two evens is even Dr. Trefor Bazett · 121.7K views
  33. 33 6:40 Rational Numbers | Definition + First Proof Dr. Trefor Bazett · 52.5K views
  34. 34 11:09 Proving that divisibility is transitive Dr. Trefor Bazett · 41.9K views
  35. 35 8:18 Disproving implications with Counterexamples Dr. Trefor Bazett · 55.3K views
  36. 36 5:41 Proof by Division Into Cases Dr. Trefor Bazett · 40.3K views
  37. 37 9:00 Proof by Contradiction | Method & First Example Dr. Trefor Bazett · 284.9K views
  38. 38 3:38 Proof by Contrapositive | Method & First Example Dr. Trefor Bazett · 182.3K views
  39. 39 9:30 Quotient-Remainder Theorem and Modular Arithmetic Dr. Trefor Bazett · 52.3K views
  40. 40 7:09 Proof: There are infinitely many primes numbers Dr. Trefor Bazett · 110.8K views
  41. 41 6:14 Introduction to sequences Dr. Trefor Bazett · 46K views
  42. 42 3:50 The formal definition of a sequence. Dr. Trefor Bazett · 27.9K views
  43. 43 9:20 The sum and product of finite sequences Dr. Trefor Bazett · 37.8K views
  44. 44 12:15 Intro to Mathematical Induction Dr. Trefor Bazett · 143.8K views
  45. 45 6:34 Induction Proofs Involving Inequalities. Dr. Trefor Bazett · 82.7K views
  46. 46 10:09 Strong Induction // Intro and Full Example Dr. Trefor Bazett · 308.9K views
  47. 47 7:37 Recursive Sequences Dr. Trefor Bazett · 60.8K views
  48. 48 6:23 The Miraculous Fibonacci Sequence Dr. Trefor Bazett · 22.1K views
  49. 49 6:36 Prove A is a subset of B with the ELEMENT METHOD Dr. Trefor Bazett · 61.9K views
  50. 50 3:01 Proving equalities of sets using the element method Dr. Trefor Bazett · 53.4K views
  51. 51 5:07 The union of two sets Dr. Trefor Bazett · 21.7K views
  52. 52 5:47 The Intersection of Two Sets Dr. Trefor Bazett · 17.8K views
  53. 53 2:50 Universes and Complements in Set Theory Dr. Trefor Bazett · 16.7K views
  54. 54 3:42 Using the Element Method to prove a Set Containment w/ Modus Tollens Dr. Trefor Bazett · 17.5K views
  55. 55 14:43 Power Sets and the Cardinality of the Continuum Dr. Trefor Bazett · 38.9K views
  56. 56 2:49 Relations and their Inverses Dr. Trefor Bazett · 37.7K views
  57. 57 6:54 Reflexive, Symmetric, and Transitive Relations on a Set Dr. Trefor Bazett · 424.3K views
  58. 58 4:36 Equivalence Relations – Reflexive, Symmetric, and Transitive Dr. Trefor Bazett · 196.6K views
  59. 59 3:40 You need to check EVERY spot for reflexivity, symmetry, and transitivity Dr. Trefor Bazett · 25.3K views
  60. 60 8:52 Introduction to probability // Events, Sample Space, Formula, Independence Dr. Trefor Bazett · 45.7K views
  61. 61 2:02 Example: Computing Probabilities using P(E)=N(E)/N(S) Dr. Trefor Bazett · 26.6K views
  62. 62 6:22 What is the probability of guessing a 4 digit pin code? Dr. Trefor Bazett · 168.2K views
  63. 63 11:07 Counting with Triple Intersections // Example & Formula Dr. Trefor Bazett · 18.3K views
  64. 64 6:53 Permutations: How many ways to rearrange the letters in a word? Dr. Trefor Bazett · 80.5K views
  65. 65 5:55 The summation rule for disjoint unions Dr. Trefor Bazett · 24.2K views
  66. 66 7:32 Counting formula for two intersecting sets: N(A union B)=N(A)+N(B)-N(A intersect B) Dr. Trefor Bazett · 18.6K views
  67. 67 6:33 Combinations Formula: Counting the number of ways to choose r items from n items. Dr. Trefor Bazett · 29.3K views
  68. 68 7:04 How many ways are there to reorder the word MISSISSIPPI? // Choose Formula Example Dr. Trefor Bazett · 34.3K views
  69. 69 17:18 Counting and Probability Walkthrough Dr. Trefor Bazett · 24.7K views
  70. 70 6:14 Intro to Conditional Probability Dr. Trefor Bazett · 1.7M views
  71. 71 6:16 Two Conditional Probability Examples (what’s the difference???) Dr. Trefor Bazett · 268.3K views
  72. 72 9:37 Conditional Probability With Tables | Chance of an Orange M&M??? Dr. Trefor Bazett · 88.5K views
  73. 73 5:31 Bayes’ Theorem – The Simplest Case Dr. Trefor Bazett · 2M views
  74. 74 12:37 Bayes’ Theorem Example: Surprising False Positives Dr. Trefor Bazett · 191.8K views
  75. 75 8:32 Bayes’ Theorem – Example: A disjoint union Dr. Trefor Bazett · 272.8K views
  76. 76 13:26 IS CHESS A GAME OF CHANCE? Classical vs Frequentist vs Bayesian Probability Dr. Trefor Bazett · 116.7K views
  77. 77 11:25 Intro to Markov Chains & Transition Diagrams Dr. Trefor Bazett · 184.2K views
  78. 78 6:54 Markov Chains & Transition Matrices Dr. Trefor Bazett · 322.7K views
  79. 79 14:23 Intro to Linear Programming Dr. Trefor Bazett · 327.8K views
  80. 80 5:53 Intro to Graph Theory | Definitions & Ex: 7 Bridges of Konigsberg Dr. Trefor Bazett · 84.4K views
  81. 81 4:03 Properties in Graph Theory: Complete, Connected, Subgraph, Induced Subgraph Dr. Trefor Bazett · 63.4K views
  82. 82 4:57 Degree of Vertices | Definition, Theorem & Example | Graph Theory Dr. Trefor Bazett · 54.6K views
  83. 83 6:24 Euler Paths & the 7 Bridges of Konigsberg | Graph Theory Dr. Trefor Bazett · 68.2K views
  84. 84 4:22 The End of Discrete Math – Congrats! Some final thoughts… Dr. Trefor Bazett · 21.8K views