Sets and Functions

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Chapter 5: Sets and Functions (116 videos)   (Practice Test)
5.1: Sets  (Practice Test)
  1. Set Definition
  2. Set Notation & its Characteristics
  3. Presentation of a Set
  4. Empty set and Singleton Set
  5. Problem 1: Empty Set & Singleton Set
  6. Finite & Infinite Set
  7. Problem 1: Finite & Infinite Set
  8. Subset Definition
  9. Problem 1: Subset Definition
  10. Proper Subset & Improper Subset
  11. Problem 1: Proper Subset & Improper Subset
  12. Properties of Subset
  13. Problem 1: Properties of Subset
  14. Power Set
  15. Problem 1: Power Set
  16. Equal & Equivalent Sets
  17. Problem 1: Equal & Equivalent Sets
  18. Union of Two Sets
  19. Problem 1: Union of Two Sets
  20. Intersection of Set
  21. Problem 1: Intersection of Set
  22. Universal Set
  23. Complement of a Set
  24. Problem 1: Complement of a Set
  25. Definition of One to One Correspondence
  26. Disjoint Set
  27. Overlapping Sets
  28. Definition & Notation of Some Important Sets
  29. Set Builder Notation
  30. Problem 1: Set Builder Notation
  31. Associative Property of Union of Sets
  32. Problem 1: Associative Property of Union of Sets
  33. Associative Property of Intersection of Sets
  34. Problem 1: Associative Property of Intersection of Sets
  35. Distributive Property of Union Over Intersection
  36. Problem 1: Distributive Property of Union Over Intersection
  37. Demorgan Law 1
  38. Problem 1: Demorgan Law 1
  39. Demorgan Law 2
  40. Problem 1: Demorgan Law 2
  41. Introduction to Venn Diagrams
  42. Problem 1: Introduction to Venn Diagrams
  43. Commutative Law of Union of Sets
  44. Problem 1: Commutative Law of Union of Sets
  45. Commutative Law of Intersection of Sets
  46. Problem 1: Commutative Law of Intersection of Sets
  47. Intersection Associativity for Overlapping Sets
  48. Problem 1: Intersection Associativity for Overlapping Sets
  49. Intersection Associativity for Disjoint Sets
  50. Problem 1: Intersection Associativity for Disjoint Sets
  51. Intersection Associativity for Sets
  52. Problem 1: Intersection Associativity for Sets
  53. More on Intersection Associativity for Sets
  54. Problem 1: More on Intersection Associativity for Sets
  55. Union Associativity for Overlapping Sets
  56. Problem 1: Union Associativity for Overlapping Sets
  57. Union Associativity for Disjoint Sets
  58. Problem 1: Union Associativity for Disjoint Sets
  59. Union Associativity for Sets
  60. Problem 1: Union Associativity for Sets
  61. More on Union Associativity for Set
  62. Problem 1: More on Union Associativity for Set
  63. Distributivity of Union Over Intersection of Sets
  64. Problem 1: Distributivity of Union Over Intersection of Sets
  65. Distributivity of Intersection Over Union of Sets
  66. Problem 1: Distributivity of Intersection Over Union of Sets
  67. Difference of Sets for Overlapping Sets
  68. Problem 1: Difference of Sets for Overlapping Sets
  69. Difference of Sets for Disjoint Sets
  70. Problem 1: Difference of Sets for Disjoint Sets
  71. Difference of Sets for a Set & its Subset
  72. Problem 1: Difference of Sets for a Set & its Subset
  73. Complement of Union for Overlapping Sets
  74. Problem 1: Complement of Union for Overlapping Sets
  75. Complement of Intersection for Overlapping Sets
  76. Problem 1: Complement of Intersection for Overlapping Sets
  77. Complement of Intersection for Disjoint Sets
  78. Problem 1: Complement of Intersection for Disjoint Sets
  79. Complement of Union for Disjoint Sets
  80. Problem 1: Complement of Union for Disjoint Sets
  81. Complement of Union for Set & its Subset
  82. Problem 1: Complement of Union for Set & its Subset
  83. Complement of Intersection for Set & its Subset
  84. Problem 1: Complement of Intersection for Set & its Subset
  85. Demorgans Law for Overlapping Sets
  86. Problem 1: Demorgans Law for Overlapping Sets
  87. Demorgans Law for Disjoint Sets
  88. Problem 1: Demorgans Law for Disjoint Sets
  89. Demorgans Law for Set & its Subset
  90. Problem 1: Demorgans Law for Set & its Subset
  91. Introduction to Ordered Pairs
  92. Problem on Introduction to Ordered Pairs
  93. Cartesian Product of Sets
  94. Problem 1: Cartesian Product of Sets
  95. Cartesian Coordinate System & Cartesian Plane
  96. Problem 1: Cartesian Coordinate System & Cartesian Plane
5.2: Binary Relation  (Practice Test)
  1. Introduction to Binary Relation
  2. Problem2-Introduction to Binary Relation
  3. Domain & Range of Binary Relation
  4. Problem 1: Domain & Range of Binary Relation
5.3: Function or Mapping  (Practice Test)
  1. Introduction to Function
  2. Problem 1: Introduction to Function
  3. Into Function
  4. Problem 1: Into Function
  5. Onto Function
  6. Problem 1: Onto Function
  7. One to One Function
  8. Problem 1: One to One Function
  9. Bijective Function
  10. Problem 1: Bijective Function
  11. Injective Function
  12. Problem 1: Injective Function
  13. One-One Function
  14. Sets and Functions-Miscellaneous-Exercise-5-Question 1
  15. Sets and Functions-Miscellaneous-Exercise-5-Question 2
  16. Sets and Functions-Miscellaneous-Exercise-5-Question 3