Sets, Partition and Tree Diagrams

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Chapter 1: Sets, Partition and Tree Diagrams (69 videos)   (Practice Test)
1.1: Review of Sets and Sets Operations  (Practice Test)
  1. Set Notation & its Characteristics
  2. Problem-Set Notation & its Characteristics
  3. Presentation of a Set
  4. Problem-Presentation of a Set
  5. Problem 1: Presentation of a Set
  6. Set Builder Notation
  7. Problem 1: Set Builder Notation
  8. Empty set and Singleton Set
  9. Problem 1: Empty Set & Singleton Set
  10. Problem-Empty Set & Singleton Set
  11. Equal & Equivalent Sets
  12. Problem 1: Equal & Equivalent Sets
  13. Complement of a Set
  14. Problem 1: Complement of a Set
  15. Subset Definition
  16. Problem 1: Subset Definition
  17. Problem-Subset Definition
  18. Proper Subset & Improper Subset
  19. Problem 1: Proper Subset & Improper Subset
  20. Properties of Subset
  21. Problem 1: Properties of Subset
  22. Union of Two Sets
  23. Problem 1: Union of Two Sets
  24. Intersection of Set
  25. Problem 1: Intersection of Set
  26. Cartesian Product of Sets
  27. Problem 1: Cartesian Product of Sets
1.2: Venn Diagrams and Partitions  (Practice Test)
  1. Complement of a Set
  2. Problem 1: Complement of a Set
  3. Commutative Law of Union of Sets
  4. Problem 1: Commutative Law of Union of Sets
  5. Commutative Law of Intersection of Sets
  6. Problem 1: Commutative Law of Intersection of Sets
  7. Demorgans Law for Overlapping Sets
  8. Problem 1: Demorgans Law for Overlapping Sets
  9. Demorgans Law for Disjoint Sets
  10. Problem 1: Demorgans Law for Disjoint Sets
  11. Demorgans Law for Set & its Subset
  12. Problem 1: Demorgans Law for Set & its Subset
  13. Complement of Union for Overlapping Sets
  14. Problem 1: Complement of Union for Overlapping Sets
  15. Complement of Union for Disjoint Sets
  16. Problem 1: Complement of Union for Disjoint Sets
  17. Complement of Union for Set & its Subset
  18. Problem 1: Complement of Union for Set & its Subset
  19. Complement of Intersection for Overlapping Sets
  20. Problem 1: Complement of Intersection for Overlapping Sets
  21. Complement of Intersection for Disjoint Sets
  22. Problem 1: Complement of Intersection for Disjoint Sets
  23. Complement of Intersection for Set & its Subset
  24. Problem 1: Complement of Intersection for Set & its Subset
  25. Distributivity of Union Over Intersection of Sets
  26. Problem 1: Distributivity of Union Over Intersection of Sets
  27. Distributivity of Intersection Over Union of Sets
  28. Problem 1: Distributivity of Intersection Over Union of Sets
  29. Partition of Set and Partition Principle
  30. Problem-Partition of Set and Partition Principle
  31. Partitions and Cartesian Products
1.3: Sizes of Sets
  1. Sizes of Sets
  2. Problem-Sizes of Sets
1.4: Sets of Outcomes and trees
  1. Experiments and Sample Space
  2. Problem-Experiments and Sample Space
  3. Tree diagrams
  4. Problem-Tree diagrams
1.5: The Real Numbers  (Practice Test)
  1. Addition of an Integers
  2. Multiplication of Integers
  3. Properties of Fraction and Inverse Operations
  4. Simplification of Algebraic Expressions
  5. Problem-Simplification of Algebraic Expressions