Sets

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Chapter 1: Sets (109 videos)   (Practice Test)
1.1: Revision
  1. Set Definition
1.2: Some Important Sets of Numbers  (Practice Test)
  1. Definition & Notation of Some Important Sets
  2. Problem - Types of Sets with their Notation
  3. Set Notation & its Characteristics
  4. Presentation of a Set
  5. Set Builder Notation
  6. Problem 1: Set Builder Notation
  7. Empty set and Singleton Set
  8. Problem 1: Empty Set & Singleton Set
  9. Finite & Infinite Set
  10. Problem 1: Finite & Infinite Set
  11. Equal & Equivalent Sets
  12. Problem 1: Equal & Equivalent Sets
  13. Subset Definition
  14. Problem 1: Subset Definition
  15. Proper Subset & Improper Subset
  16. Problem 1: Proper Subset & Improper Subset
  17. Properties of Subset
  18. Problem 1: Properties of Subset
  19. Power Set
  20. Problem 1: Power Set
1.3: Operations on Two Sets  (Practice Test)
  1. Union of Two Sets
  2. Problem 1: Union of Two Sets
  3. Intersection of Set
  4. Problem 1: Intersection of Set
  5. Problem 1: Difference of Sets
  6. Symmetric Difference of two sets
  7. Problem 1: Symmetric Difference of two sets
  8. Universal Set
  9. Complement of a Set
  10. Problem 1: Complement of a Set
1.4: Operations of Union and Intersection on Three Sets
  1. Operations of Union and Intesection on three sets
1.5: Properties of Union and Intersection for Two or Three Sets  (Practice Test)
  1. Commutative Property of Union
  2. Associative Property of Union of Sets
  3. Problem 1: Associative Property of Union of Sets
  4. Associative Property of Intersection of Sets
  5. Problem 1: Associative Property of Intersection of Sets
1.6: De Morgans Laws
  1. Distributive Property of Union Over Intersection
  2. Problem 1: Distributive Property of Union Over Intersection
1.7: Venn Diagrams  (Practice Test)
  1. Distributive property of Intersection over Union
  2. Problem 1: Distributive property of Intersection over Union
  3. Demorgan Law 1
  4. Problem 1: Demorgan Law 1
  5. Demorgan Law 2
  6. Problem 1: Demorgan Law 2
  7. Introduction to Venn Diagrams
  8. Problem 1: Introduction to Venn Diagrams
  9. Commutative Law of Union of Sets
  10. Problem 1: Commutative Law of Union of Sets
  11. Commutative Law of Intersection of Sets
  12. Problem 1: Commutative Law of Intersection of Sets
  13. Intersection Associativity for Overlapping Sets
  14. Problem 1: Intersection Associativity for Overlapping Sets
  15. Intersection Associativity for Disjoint Sets
  16. Problem 1: Intersection Associativity for Disjoint Sets
  17. Intersection Associativity for Sets
  18. Problem 1: Intersection Associativity for Sets
  19. More on Intersection Associativity for Sets
  20. Problem 1: More on Intersection Associativity for Sets
  21. Union Associativity for Overlapping Sets
  22. Problem 1: Union Associativity for Overlapping Sets
  23. Union Associativity for Disjoint Sets
  24. Problem 1: Union Associativity for Disjoint Sets
  25. Union Associativity for Sets
  26. Problem 1: Union Associativity for Sets
  27. More on Union Associativity for Set
  28. Problem 1: More on Union Associativity for Set
  29. Distributivity of Union Over Intersection of Sets
  30. Problem 1: Distributivity of Union Over Intersection of Sets
  31. Distributivity of Intersection Over Union of Sets
  32. Problem 1: Distributivity of Intersection Over Union of Sets
  33. Difference of Sets for Overlapping Sets
  34. Problem 1: Difference of Sets for Overlapping Sets
  35. Difference of Sets for Disjoint Sets
  36. Problem 1: Difference of Sets for Disjoint Sets
  37. Difference of Sets for a Set & its Subset
  38. Problem 1: Difference of Sets for a Set & its Subset
  39. Complement of Union for Overlapping Sets
  40. Problem 1: Complement of Union for Overlapping Sets
  41. Complement of Intersection for Overlapping Sets
  42. Problem 1: Complement of Intersection for Overlapping Sets
  43. Complement of Intersection for Disjoint Sets
  44. Problem 1: Complement of Intersection for Disjoint Sets
  45. Complement of Union for Disjoint Sets
  46. Problem 1: Complement of Union for Disjoint Sets
  47. Complement of Union for Set & its Subset
  48. Problem 1: Complement of Union for Set & its Subset
  49. Complement of Intersection for Set & its Subset
  50. Problem 1: Complement of Intersection for Set & its Subset
1.8: Ordered Pairs
  1. Introduction to Ordered Pairs
  2. Problem on Introduction to Ordered Pairs
1.9: Cartesian Product of Sets
  1. Cartesian Product of Sets
  2. Problem 1: Cartesian Product of Sets
1.10: Binary Relation  (Practice Test)
  1. Introduction to Binary Relation
  2. Problem -Introduction to Binary Relation
  3. Problem2-Introduction to Binary Relation
  4. Domain & Range of Binary Relation
  5. Problem 1: Domain & Range of Binary Relation
1.11: Functions  (Practice Test)
  1. Introduction to Function
  2. Problem 1: Introduction to Function
  3. Onto Function
  4. Problem 1: Onto Function
  5. One to One Function
  6. Problem 1: One to One Function
  7. Bijective Function
  8. Problem 1: Bijective Function
1.12: Cartesian Coordinate System for a Plane
  1. Cartesian Coordinate System & Cartesian Plane
  2. Problem 1: Cartesian Coordinate System & Cartesian Plane
1.13: Graphical Representation of Cartesian Product
  1. Introduction to Graphs