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Chapter 1: Operations on Sets (34 videos)

1.1: Sets
1. Set Definition
2. Problem-Introduction to Set
3. Definition & Notation of Some Important Sets
4. Problem-Some Important Sets
5. Subset and Superset of a Set
6. Problem-Subset and Superset of a Set
7. Proper Subset & Improper Subset
8. Problem 1: Proper Subset & Improper Subset
9. Problem-Finding Subsets of a Set
10. Power Set
11. Problem-Concept of Power Set
 
1.2: Operations on Sets
1. Commutative Property of Union
2. Problem-Commutative Property of Union of Sets
3. Commutativity of Intersection
4. Problem-Commutative Property of Intersection of Sets
5. Associative Property of Union of Sets
6. Problem-Associative Property of Union of Sets
7. Associative Property of Intersection of Sets
8. Problem-Associative Property of Intersection of Sets
9. Distributive Property of Union Over Intersection
10. Problem-Distributive Law of Union Over Intersection
11. Distributive property of Intersection over Union
12. Problem-Distributive Law of Intersection Over Union
13. Demorgan Law 1
14. Problem-Complement of Union Equals Intersection of Complements
15. Demorgan Law 2
16. Problem-Complement of Intersection Equals Union of Complements
 
1.3: Venn Diagram
1. Introduction to Venn Diagrams
2. Problem-Introduction to Venn Diagram
3. Union Associativity for Overlapping Sets
4. Problem-Associative Law of Union Through Venn Diagram
5. Intersection Associativity for Overlapping Sets
6. Distributivity of Union Over Intersection of Sets
7. Distributivity of Intersection Over Union of Sets
 

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