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Chapter 5: Sets and Functions (114 videos)

5.1: Sets
1. Set Definition
2. Set Notation & its Characteristics
3. Presentation of a Set
4. Problem 1: Presentation of a Set
5. Empty Set & 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. Difference of Sets
24. Problem 1: Difference of Sets
25. 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. Associative Property of Union of Sets
34. Problem 1: Associative Property of Union of Sets
35. Associative Property of Intersection of Sets
36. Problem 1: Associative Property of Intersection of Sets
37. Distributive Property of Union Over Intersection
38. Problem 1: Distributive Property of Union Over Intersection
39. Demorgan Law 1
40. Problem 1: Demorgan Law 1
41. Demorgan Law 2
42. Problem 1: Demorgan Law 2
43. Introduction to Venn Diagrams
44. Problem 1: Introduction to Venn Diagrams
45. Commutative Law of Union of Sets
46. Problem 1: Commutative Law of Union of Sets
47. Commutative Law of Intersection of Sets
48. Problem 1: Commutative Law of Intersection of Sets
49. Intersection Associativity for Overlapping Sets
50. Problem 1: Intersection Associativity for Overlapping Sets
51. Intersection Associativity for Disjoint Sets
52. Problem 1: Intersection Associativity for Disjoint Sets
53. Intersection Associativity for Sets
54. Problem 1: Intersection Associativity for Sets
55. More on Intersection Associativity for Sets
56. Problem 1: More on Intersection Associativity for Sets
57. Union Associativity for Overlapping Sets
58. Problem 1: Union Associativity for Overlapping Sets
59. Union Associativity for Disjoint Sets
60. Problem 1: Union Associativity for Disjoint Sets
61. Union Associativity for Sets
62. Problem 1: Union Associativity for Sets
63. More on Union Associativity for Set
64. Problem 1: More on Union Associativity for Set
65. Distributivity of Union Over Intersection of Sets
66. Problem 1: Distributivity of Union Over Intersection of Sets
67. Distributivity of Intersection Over Union of Sets
68. Problem 1: Distributivity of Intersection Over Union of Sets
69. Difference of Sets for Overlapping Sets
70. Problem 1: Difference of Sets for Overlapping Sets
71. Difference of Sets for Disjoint Sets
72. Problem 1: Difference of Sets for Disjoint Sets
73. Difference of Sets for a Set & its Subset
74. Problem 1: Difference of Sets for a Set & its Subset
75. Complement of Union for Overlapping Sets
76. Problem 1: Complement of Union for Overlapping Sets
77. Complement of Intersection for Overlapping Sets
78. Problem 1: Complement of Intersection for Overlapping Sets
79. Complement of Intersection for Disjoint Sets
80. Problem 1: Complement of Intersection for Disjoint Sets
81. Complement of Union for Disjoint Sets
82. Problem 1: Complement of Union for Disjoint Sets
83. Complement of Union for Set & its Subset
84. Problem 1: Complement of Union for Set & its Subset
85. Complement of Intersection for Set & its Subset
86. Problem 1: Complement of Intersection for Set & its Subset
87. Demorgans Law for Overlapping Sets
88. Problem 1: Demorgans Law for Overlapping Sets
89. Demorgans Law for Disjoint Sets
90. Problem 1: Demorgans Law for Disjoint Sets
91. Demorgans Law for Set & its Subset
92. Problem 1: Demorgans Law for Set & its Subset
93. Introduction to Ordered Pairs
94. Cartesian Product of Sets
95. Problem 1: Cartesian Product of Sets
96. Cartesian Coordinate System & Cartesian Plane
97. Problem 1: Cartesian Coordinate System & Cartesian Plane
 
5.2: Binary Relation
1. Introduction to Binary Relation
2. Problem 1: Introduction to Binary Relation
3. Domain & Range of Binary Relation
4. Problem 1: Domain & Range of Binary Relation
 
5.3: Function or Mapping
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
 

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