Sets and Functions

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    Chapter 3 Sets and Functions ( 104 videos)

      3.1: Mathematics as the Study of Patterns, Structures and Relationships
      Set Definition
    1. Set Definition
      66158 views
      2. Problem-Set Definition
    2. Problem-Set Definition
      3598 views
      3. Set Notation and its Characteristics
    3. Set Notation and its Characteristics
      14544 views
      4. Problem-Set Notation & its Characteristics
    4. Problem-Set Notation & its Characteristics
      1665 views
      5. Some Important Sets of Numbers
    5. Some Important Sets of Numbers
      18995 views
      6. Descriptive and Tabular Notation
    6. Descriptive and Tabular Notation
      7613 views
      7. Problem-Presentation of a Set
    7. Problem-Presentation of a Set
      490 views
      8. Set Builder Notation
    8. Set Builder Notation
      10597 views
      9. Problem-Set Builder Notation
    9. Problem-Set Builder Notation
      1875 views
      10. Equal and equivalent Sets
    10. Equal and equivalent Sets
      5881 views
      11. Problem-Equal and equivalent Sets
    11. Problem-Equal and equivalent Sets
      1728 views
      12. Subset definition
    12. Subset definition
      3582 views
      13. Problem-Subset
    13. Problem-Subset
      2292 views
      14. Problem-Subset Definition
    14. Problem-Subset Definition
      757 views
      15. Proper and Improper Subset
    15. Proper and Improper Subset
      13991 views
      16. Problem-Proper and Improper Subset
    16. Problem-Proper and Improper Subset
      5085 views
      17. Universal Set
    17. Universal Set
      3818 views
      18. Problem-Universal Set
    18. Problem-Universal Set
      19. Power Set
    19. Power Set
      5474 views
      20. Problem-Power Set
    20. Problem-Power Set
      1792 views
      3.2: Operations on Sets
      Union of two sets
    1. Union of two sets
      6344 views
      2. Problem-Union of two sets
    2. Problem-Union of two sets
      1534 views
      3. Problem-Union of Two Sets
    3. Problem-Union of Two Sets
      1483 views
      4. Intersection of two sets
    4. Intersection of two sets
      3447 views
      5. Problem-Intersection of two sets
    5. Problem-Intersection of two sets
      1228 views
      6. Disjoint Sets
    6. Disjoint Sets
      3566 views
      7. Overlapping Sets
    7. Overlapping Sets
      3569 views
      8. Difference of two sets
    8. Difference of two sets
      4152 views
      9. Problem-Difference of two sets
    9. Problem-Difference of two sets
      1343 views
      10. Problem-Difference of Two Sets
    10. Problem-Difference of Two Sets
      859 views
      11. Complement of a Set
    11. Complement of a Set
      4330 views
      12. Problem-Complement of a Set
    12. Problem-Complement of a Set
      1348 views
      13. Problem-Universal Set and Complement of a Set
    13. Problem-Universal Set and Complement of a Set
      451 views
      14. Introducing Venn Diagram
    14. Introducing Venn Diagram
      10489 views
      15. Problem-Introducing Venn Diagram
    15. Problem-Introducing Venn Diagram
      3237 views
      16. Performing Union of Sets Through Venn Diagram
    16. Performing Union of Sets Through Venn Diagram
      1295 views
      17. Problem-Performing Union of Sets Through Venn Diagram
    17. Problem-Performing Union of Sets Through Venn Diagram
      1236 views
      18. Commutative Law of Union of Sets
    18. Commutative Law of Union of Sets
      3535 views
      19. Problem-Commutative Law of Union of Sets
    19. Problem-Commutative Law of Union of Sets
      1323 views
      20. Commutative Law of Intersection of Sets
    20. Commutative Law of Intersection of Sets
      1987 views
      21. Problem-Commutative Law of Intersection of Sets
    21. Problem-Commutative Law of Intersection of Sets
      809 views
      22. Performing Intersection of Sets Through Venn Diagram
    22. Performing Intersection of Sets Through Venn Diagram
      772 views
      23. Problem-Performing Intersection of Sets Through Venn Diagram
    23. Problem-Performing Intersection of Sets Through Venn Diagram
      868 views
      24. Problem-Difference of Two Sets A and B Through Venn Diagram
    24. Problem-Difference of Two Sets A and B Through Venn Diagram
      799 views
      25. Complement of a Set Through Venn Diagram
    25. Complement of a Set Through Venn Diagram
      1321 views
      26. Problem-Complement of a Set Through Venn Diagram
    26. Problem-Complement of a Set Through Venn Diagram
      866 views
      27. Union Associativity for Overlapping Sets
    27. Union Associativity for Overlapping Sets
      2723 views
      28. Problem-Union Associativity for Overlapping Sets
    28. Problem-Union Associativity for Overlapping Sets
      522 views
      29. Problem-Associative Law of Union Through Venn Diagram
    29. Problem-Associative Law of Union Through Venn Diagram
      3554 views
      30. Union Associativity for Disjoint Sets
    30. Union Associativity for Disjoint Sets
      572 views
      31. Problem-Union Associativity for Disjoint Sets
    31. Problem-Union Associativity for Disjoint Sets
      457 views
      32. Union Associativity for Sets
    32. Union Associativity for Sets
      598 views
      33. Problem-Union Associativity for Sets
    33. Problem-Union Associativity for Sets
      428 views
      34. More on Union Associativity for Set
    34. More on Union Associativity for Set
      517 views
      35. Problem-More on Union Associativity for Set
    35. Problem-More on Union Associativity for Set
      410 views
      36. Distributivity of Union Over Intersection of Sets
    36. Distributivity of Union Over Intersection of Sets
      2622 views
      37. Problem- Set Distributivity of Union Over Intersection
    37. Problem- Set Distributivity of Union Over Intersection
      647 views
      38. Distributivity of Intersection Over Union of Sets
    38. Distributivity of Intersection Over Union of Sets
      1974 views
      39. Problem-Set Distributivity of Intersection Over Union
    39. Problem-Set Distributivity of Intersection Over Union
      568 views
      40. Complement of Union for Overlapping Sets
    40. Complement of Union for Overlapping Sets
      1088 views
      41. Problem-Complement of Union for Overlapping Sets
    41. Problem-Complement of Union for Overlapping Sets
      851 views
      42. Complement of Intersection for Overlapping Sets
    42. Complement of Intersection for Overlapping Sets
      786 views
      43. Problem-Complement of Intersection for Overlapping Sets
    43. Problem-Complement of Intersection for Overlapping Sets
      588 views
      44. Complement of Intersection for Disjoint Sets
    44. Complement of Intersection for Disjoint Sets
      709 views
      45. Problem-Complement of Intersection for Disjoint Sets
    45. Problem-Complement of Intersection for Disjoint Sets
      519 views
      46. Complement of Union for Disjoint Sets
    46. Complement of Union for Disjoint Sets
      697 views
      47. Problem-Complement of Union for Disjoint Sets
    47. Problem-Complement of Union for Disjoint Sets
      517 views
      48. Complement of Union for Set & its Subset
    48. Complement of Union for Set & its Subset
      613 views
      49. Problem-Complement of Union for Set & its Subset
    49. Problem-Complement of Union for Set & its Subset
      479 views
      50. Complement of Intersection for Set & its Subset
    50. Complement of Intersection for Set & its Subset
      599 views
      51. Problem-Complement of Intersection for Set-Subset
    51. Problem-Complement of Intersection for Set-Subset
      575 views
      3.3: Binary Relations
      Introduction to Binary Operations
    1. Introduction to Binary Operations
      2444 views
      2. Problem-Introduction to Binary Operations
    2. Problem-Introduction to Binary Operations
      1545 views
      3. Multiplication Table
    3. Multiplication Table
      1220 views
      4. Problem-Multiplication Table
    4. Problem-Multiplication Table
      1048 views
      5. Properties of Binary Operations
    5. Properties of Binary Operations
      1592 views
      6. Problem-Properties of Binary Operations
    6. Problem-Properties of Binary Operations
      781 views
      7. Theorems on Binary Operation
    7. Theorems on Binary Operation
      1526 views
      8. More on Theorems on Binary Operation
    8. More on Theorems on Binary Operation
      321 views
      9. Problem-Theorems on Binary Operation
    9. Problem-Theorems on Binary Operation
      310 views
      10. Introduction to Function
    10. Introduction to Function
      33866 views
      11. More on Introduction to Functions
    11. More on Introduction to Functions
      11149 views
      12. Problem1-Introduction to Function
    12. Problem1-Introduction to Function
      6005 views
      13. Problem2-Introduction to Function
    13. Problem2-Introduction to Function
      677 views
      14. Problem3-Introduction to Function
    14. Problem3-Introduction to Function
      6740 views
      15. Problem4-Introduction to Function
    15. Problem4-Introduction to Function
      4776 views
      16. Into Function
    16. Into Function
      17. Problem1-Into Function
    17. Problem1-Into Function
      2746 views
      18. Problem2-Into Function
    18. Problem2-Into Function
      432 views
      19. One to One Correspondence
    19. One to One Correspondence
      5463 views
      20. Problem1-One to One Function
    20. Problem1-One to One Function
      2057 views
      21. Problem2-One to One Correspondence
    21. Problem2-One to One Correspondence
      524 views
      22. One-One Function
    22. One-One Function
      4739 views
      23. Problem-One-One Function
    23. Problem-One-One Function
      301 views
      24. Onto Function
    24. Onto Function
      7782 views
      25. Problem1-Onto Function
    25. Problem1-Onto Function
      2303 views
      26. Problem2-Onto Function
    26. Problem2-Onto Function
      433 views
      27. Bijective Function
    27. Bijective Function
      4605 views
      28. Problem1-Bijective Function
    28. Problem1-Bijective Function
      1587 views
      29. Problem2-Bijective Function
    29. Problem2-Bijective Function
      365 views
      30. Set Builder Notation for a Function
    30. Set Builder Notation for a Function
      495 views
      31. Problem-Set Builder Notation for a Function
    31. Problem-Set Builder Notation for a Function
      309 views
      32. Linear and Quadratic Functions
    32. Linear and Quadratic Functions
      539 views
      33. Problem-Linear and Quadratic Functions
    33. Problem-Linear and Quadratic Functions
      298 views