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  1. Урок 1. 00:00:20
    Introduction
  2. Урок 2. 00:08:42
    Definition of a Set
  3. Урок 3. 00:10:08
    Number Sets
  4. Урок 4. 00:09:17
    Set Equality
  5. Урок 5. 00:09:57
    Set-Builder Notation
  6. Урок 6. 00:11:50
    Types of Sets
  7. Урок 7. 00:10:28
    Subsets
  8. Урок 8. 00:05:07
    Power Set
  9. Урок 9. 00:05:00
    Ordered Pairs
  10. Урок 10. 00:14:09
    Cartesian Products
  11. Урок 11. 00:03:39
    Cartesian Plane
  12. Урок 12. 00:03:15
    Venn Diagrams
  13. Урок 13. 00:14:36
    Set Operations (Union, Intersection)
  14. Урок 14. 00:10:17
    Properties of Union and Intersection
  15. Урок 15. 00:11:58
    Set Operations (Difference, Complement)
  16. Урок 16. 00:07:30
    Properties of Difference and Complement
  17. Урок 17. 00:08:18
    De Morgan’s Law
  18. Урок 18. 00:15:50
    Partition of Sets
  19. Урок 19. 00:00:40
    Extra Practice Problems
  20. Урок 20. 00:00:23
    Introduction
  21. Урок 21. 00:07:14
    Statements
  22. Урок 22. 00:13:11
    Compound Statements
  23. Урок 23. 00:09:21
    Truth Tables
  24. Урок 24. 00:13:04
    Examples
  25. Урок 25. 00:06:41
    Logical Equivalences
  26. Урок 26. 00:06:16
    Tautologies and Contradictions
  27. Урок 27. 00:11:35
    De Morgan’s Laws in Logic
  28. Урок 28. 00:03:24
    Logical Equivalence Laws
  29. Урок 29. 00:12:59
    Conditional Statements
  30. Урок 30. 00:09:32
    Negation of Conditional Statements
  31. Урок 31. 00:07:26
    Converse and Inverse
  32. Урок 32. 00:08:47
    Biconditional Statements
  33. Урок 33. 00:11:51
    Examples
  34. Урок 34. 00:12:55
    Digital Logic Circuits
  35. Урок 35. 00:15:19
    Black Boxes and Gates
  36. Урок 36. 00:06:24
    Boolean Expressions
  37. Урок 37. 00:09:25
    Truth Tables and Circuits
  38. Урок 38. 00:06:38
    Equivalent Circuits
  39. Урок 39. 00:07:13
    NAND and NOR Gates
  40. Урок 40. 00:07:37
    Quantified Statements - ALL
  41. Урок 41. 00:06:40
    Quantified Statements - THERE EXISTS
  42. Урок 42. 00:08:30
    Negations of Quantified Statements
  43. Урок 43. 00:00:36
    Introduction
  44. Урок 44. 00:12:44
    Parity
  45. Урок 45. 00:10:46
    Divisibility
  46. Урок 46. 00:08:04
    Prime Numbers
  47. Урок 47. 00:08:35
    Prime Factorization
  48. Урок 48. 00:17:24
    GCD & LCM
  49. Урок 49. 00:05:42
    Intro
  50. Урок 50. 00:07:38
    Terminologies
  51. Урок 51. 00:08:46
    Direct Proofs
  52. Урок 52. 00:11:26
    Proofs by Contrapositive
  53. Урок 53. 00:17:17
    Proofs by Contradiction
  54. Урок 54. 00:13:37
    Exhaustion Proofs
  55. Урок 55. 00:15:58
    Existence & Uniqueness Proofs
  56. Урок 56. 00:11:42
    Proofs by Induction
  57. Урок 57. 00:18:47
    Examples
  58. Урок 58. 00:00:25
    Intro
  59. Урок 59. 00:15:06
    Functions
  60. Урок 60. 00:12:30
    Evaluating a Function
  61. Урок 61. 00:15:57
    Domains
  62. Урок 62. 00:05:30
    Range
  63. Урок 63. 00:09:44
    Function Composition
  64. Урок 64. 00:09:01
    Function Combination
  65. Урок 65. 00:08:20
    Even and Odd Functions
  66. Урок 66. 00:08:20
    One to One Functions
  67. Урок 67. 00:10:12
    Inverse Functions
  68. Урок 68. 00:00:26
    Intro
  69. Урок 69. 00:10:28
    The Language of Relations
  70. Урок 70. 00:12:45
    Relations on Sets
  71. Урок 71. 00:06:06
    The Inverse of a Relation
  72. Урок 72. 00:13:08
    Reflexivity, Symmetry and Transitivity
  73. Урок 73. 00:07:32
    Examples
  74. Урок 74. 00:07:49
    Properties of Equality & Less Than
  75. Урок 75. 00:06:43
    Equivalence Relation
  76. Урок 76. 00:06:31
    Equivalence Class
  77. Урок 77. 00:00:29
    Intro
  78. Урок 78. 00:11:26
    Graphs
  79. Урок 79. 00:08:33
    Subgraphs
  80. Урок 80. 00:09:53
    Degree
  81. Урок 81. 00:23:23
    Sum of Degrees of Vertices Theorem
  82. Урок 82. 00:09:16
    Adjacency and Incidence
  83. Урок 83. 00:16:17
    Adjacency Matrix
  84. Урок 84. 00:08:05
    Incidence Matrix
  85. Урок 85. 00:08:24
    Isomorphism
  86. Урок 86. 00:12:42
    Walks, Trails, Paths, and Circuits
  87. Урок 87. 00:10:19
    Examples
  88. Урок 88. 00:06:48
    Eccentricity, Diameter, and Radius
  89. Урок 89. 00:20:04
    Connectedness
  90. Урок 90. 00:17:45
    Euler Trails and Circuits
  91. Урок 91. 00:10:16
    Fleury’s Algorithm
  92. Урок 92. 00:05:47
    Hamiltonian Paths and Circuits
  93. Урок 93. 00:14:09
    Ore's Theorem
  94. Урок 94. 00:12:59
    The Shortest Path Problem
  95. Урок 95. 00:00:20
    Intro
  96. Урок 96. 00:03:06
    Terminologies
  97. Урок 97. 00:03:32
    Mean
  98. Урок 98. 00:03:12
    Median
  99. Урок 99. 00:03:03
    Mode
  100. Урок 100. 00:08:02
    Range
  101. Урок 101. 00:04:19
    Outlier
  102. Урок 102. 00:09:26
    Variance
  103. Урок 103. 00:04:15
    Standard Deviation
  104. Урок 104. 00:03:30
    Intro
  105. Урок 105. 00:07:47
    Factorials
  106. Урок 106. 00:13:26
    The Fundamental Counting Principle
  107. Урок 107. 00:12:51
    Permutations
  108. Урок 108. 00:12:02
    Combinations
  109. Урок 109. 00:06:11
    Pigeonhole Principle
  110. Урок 110. 00:08:21
    Pascal's Triangle
  111. Урок 111. 00:00:20
    Intro
  112. Урок 112. 00:06:30
    Sequence
  113. Урок 113. 00:12:20
    Arithmetic Sequences
  114. Урок 114. 00:08:58
    Geometric Sequences
  115. Урок 115. 00:11:57
    Partial Sums of Arithmetic Sequences
  116. Урок 116. 00:06:32
    Partial Sums of Geometric Sequences
  117. Урок 117. 00:12:33
    Series
  118. Урок 118. 00:02:47
    Bonus Lecture