Sets and Functions

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Chapter 5: Sets and Functions (119 videos)   (Practice Test)
5.1: Sets  (Practice Test)
  1. Set Definition
  2. Set Notation & its Characteristics
  3. Presentation of a Set
  4. Problem 1: Presentation of a Set
  5. Empty set and Singleton Set
  6. Problem 1: Empty Set & Singleton Set
  7. Finite & Infinite Set
  8. Problem 1: Finite & Infinite Set
  9. Subset Definition
  10. Problem 1: Subset Definition
  11. Proper Subset & Improper Subset
  12. Problem 1: Proper Subset & Improper Subset
  13. Properties of Subset
  14. Problem 1: Properties of Subset
  15. Power Set
  16. Problem 1: Power Set
  17. Equal & Equivalent Sets
  18. Problem 1: Equal & Equivalent Sets
  19. Union of Two Sets
  20. Problem 1: Union of Two Sets
  21. Intersection of Set
  22. Problem 1: Intersection of Set
  23. Problem 1: Difference of Sets
  24. Universal Set
  25. Problem-Universal Set
  26. Complement of a Set
  27. Problem 1: Complement of a Set
  28. Definition of One to One Correspondence
  29. Disjoint Set
  30. Overlapping Sets
  31. Definition & Notation of Some Important Sets
  32. Set Builder Notation
  33. Problem 1: Set Builder Notation
  34. Associative Property of Union of Sets
  35. Problem 1: Associative Property of Union of Sets
  36. Associative Property of Intersection of Sets
  37. Problem 1: Associative Property of Intersection of Sets
  38. Distributive Property of Union Over Intersection
  39. Problem 1: Distributive Property of Union Over Intersection
  40. Demorgan Law 1
  41. Problem 1: Demorgan Law 1
  42. Demorgan Law 2
  43. Problem 1: Demorgan Law 2
  44. Introduction to Venn Diagrams
  45. Problem 1: Introduction to Venn Diagrams
  46. Commutative Law of Union of Sets
  47. Problem 1: Commutative Law of Union of Sets
  48. Commutative Law of Intersection of Sets
  49. Problem 1: Commutative Law of Intersection of Sets
  50. Intersection Associativity for Overlapping Sets
  51. Problem 1: Intersection Associativity for Overlapping Sets
  52. Intersection Associativity for Disjoint Sets
  53. Problem 1: Intersection Associativity for Disjoint Sets
  54. Intersection Associativity for Sets
  55. Problem 1: Intersection Associativity for Sets
  56. More on Intersection Associativity for Sets
  57. Problem 1: More on Intersection Associativity for Sets
  58. Union Associativity for Overlapping Sets
  59. Problem 1: Union Associativity for Overlapping Sets
  60. Union Associativity for Disjoint Sets
  61. Problem 1: Union Associativity for Disjoint Sets
  62. Union Associativity for Sets
  63. Problem 1: Union Associativity for Sets
  64. More on Union Associativity for Set
  65. Problem 1: More on Union Associativity for Set
  66. Distributivity of Union Over Intersection of Sets
  67. Problem 1: Distributivity of Union Over Intersection of Sets
  68. Distributivity of Intersection Over Union of Sets
  69. Problem 1: Distributivity of Intersection Over Union of Sets
  70. Difference of Sets for Overlapping Sets
  71. Problem 1: Difference of Sets for Overlapping Sets
  72. Difference of Sets for Disjoint Sets
  73. Problem 1: Difference of Sets for Disjoint Sets
  74. Difference of Sets for a Set & its Subset
  75. Problem 1: Difference of Sets for a Set & its Subset
  76. Complement of Union for Overlapping Sets
  77. Problem 1: Complement of Union for Overlapping Sets
  78. Complement of Intersection for Overlapping Sets
  79. Problem 1: Complement of Intersection for Overlapping Sets
  80. Complement of Intersection for Disjoint Sets
  81. Problem 1: Complement of Intersection for Disjoint Sets
  82. Complement of Union for Disjoint Sets
  83. Problem 1: Complement of Union for Disjoint Sets
  84. Complement of Union for Set & its Subset
  85. Problem 1: Complement of Union for Set & its Subset
  86. Complement of Intersection for Set & its Subset
  87. Problem 1: Complement of Intersection for Set & its Subset
  88. Demorgans Law for Overlapping Sets
  89. Problem 1: Demorgans Law for Overlapping Sets
  90. Demorgans Law for Disjoint Sets
  91. Problem 1: Demorgans Law for Disjoint Sets
  92. Demorgans Law for Set & its Subset
  93. Problem 1: Demorgans Law for Set & its Subset
  94. Introduction to Ordered Pairs
  95. Problem on Introduction to Ordered Pairs
  96. Cartesian Product of Sets
  97. Problem 1: Cartesian Product of Sets
  98. Cartesian Coordinate System & Cartesian Plane
  99. 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