Videos for Balochistan Board 11th Math Chapter 2: Sets, Functions and Groups - Sabaq Foundation

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Chapter 2: Sets, Functions and Groups (193 videos)  (Practice Test)
2.1: Sets and Their Types  (Practice Test)
  1. Set Definition
  2. Problem-Set Definition
  3. Set Notation & its Characteristics
  4. Problem-Set Notation & its Characteristics
  5. Definition & Notation of Some Important Sets
  6. Presentation of a Set
  7. Problem-Presentation of a Set
  8. Problem 1: Presentation of a Set
  9. Set Builder Notation
  10. Problem 1: Set Builder Notation
  11. Order of a Set
  12. Problem-Order of a Set
  13. Interval Notation of a Set
  14. Empty set and Singleton Set
  15. Problem 1: Empty Set & Singleton Set
  16. Problem-Empty Set & Singleton Set
  17. Finite & Infinite Set
  18. Problem 1: Finite & Infinite Set
  19. Problem-Finite & Infinite Set
  20. Equal & Equivalent Sets
  21. Problem 1: Equal & Equivalent Sets
  22. Subset Definition
  23. Problem 1: Subset Definition
  24. Problem-Subset Definition
  25. Proper Subset & Improper Subset
  26. Problem 1: Proper Subset & Improper Subset
  27. Properties of Subset
  28. Problem 1: Properties of Subset
  29. Power Set
  30. Problem 1: Power Set
  31. Universal Set
  32. Definition of One to One Correspondence
2.2: Operations on Sets  (Practice Test)
  1. Disjoint Set
  2. Overlapping Sets
  3. Union of Two Sets
  4. Problem 1: Union of Two Sets
  5. Exhaustive Sets and Cells
  6. Intersection of Set
  7. Problem 1: Intersection of Set
  8. Difference of Sets
  9. Problem 1: Difference of Sets
  10. Symmetric Difference of two sets
  11. Problem 1: Symmetric Difference of two sets
  12. Complement of a Set
  13. Problem 1: Complement of a Set
2.3: Properties of Union and Intersection  (Practice Test)
  1. Associative Property of Union of Sets
  2. Problem 1: Associative Property of Union of Sets
  3. Associative Property of Intersection of Sets
  4. Problem 1: Associative Property of Intersection of Sets
  5. Distributive Property of Union Over Intersection
  6. Problem 1: Distributive Property of Union Over Intersection
  7. Demorgan Law 1
  8. Problem 1: Demorgan Law 1
  9. Demorgan Law 2
  10. Problem 1: Demorgan Law 2
  11. Operations of Union and Intesection on three sets
  12. Commutative Property of Union
  13. Commutativity of Intersection
  14. Distributive property of Intersection over Union
  15. Problem 1: Distributive property of Intersection over Union
  16. Distributive Property of Cartesian Product Over Union
  17. Problem-Distributive Property of Cartesian Product Over Union
  18. Distributive Property of Cartesian Product Over Intersection
  19. Problem-Distributive Property of Cartesian Product Over Intersection
  20. Distributive Property of Cartesian Product Over Difference
  21. Problem-Distributive Property of Cartesian Product Over Difference
  22. Identity With Respect to Intersection
  23. Problem-Identity With Respect to Intersection
  24. Double Complementation Law
  25. Problem-Double Complementation Law
2.4: Venn Diagrams  (Practice Test)
  1. Introduction to Venn Diagrams
  2. Problem 1: Introduction to Venn Diagrams
  3. Difference of Sets for Overlapping Sets
  4. Problem 1: Difference of Sets for Overlapping Sets
  5. Difference of Sets for Disjoint Sets
  6. Problem 1: Difference of Sets for Disjoint Sets
  7. Difference of Sets for a Set & its Subset
  8. Problem 1: Difference of Sets for a Set & its Subset
  9. Complement of Union for Overlapping Sets
  10. Problem 1: Complement of Union for Overlapping Sets
  11. Complement of Intersection for Overlapping Sets
  12. Problem 1: Complement of Intersection for Overlapping Sets
  13. Complement of Intersection for Disjoint Sets
  14. Problem 1: Complement of Intersection for Disjoint 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 Set & its Subset
  20. Problem 1: Complement of Intersection for Set & its Subset
  21. Identity Laws
  22. Problem-Identity Laws
  23. Laws of Complement
  24. Problem-Laws of Complement
  25. Some Important Laws
  26. Problem-Some Important Laws
  27. Demorgans Law for Overlapping Sets
  28. Problem 1: Demorgans Law for Overlapping Sets
  29. Demorgans Law for Disjoint Sets
  30. Problem 1: Demorgans Law for Disjoint Sets
  31. Demorgans Law for Set & its Subset
  32. Problem 1: Demorgans Law for Set & its Subset
2.5: Introduction to Logical Statements and Truth Tables  (Practice Test)
  1. Concept of Induction and Deduction
  2. Problem-Concept of Induction and Deduction
  3. Aristotelian and Non Aristotelian Logics
  4. Problem-Aristotelian and Non Aristotelian Logics
  5. Symbolic Logics
  6. Problem-Symbolic Logics
  7. Introduction to Implication or Conditional
  8. Problem-Introduction to Implication or Conditional
  9. Concept of Bi-Conditional
  10. Problem-Concept of Bi-Conditional
  11. Conditionals Related with a Given Conditional
  12. Problem-Conditionals Related with a Given Conditional
  13. Introducing Tautologies
  14. Problem-Introducing Tautologies
  15. Introducing Quantifiers
  16. A link Between Set Theory and Logic
  17. More on A link Between Set Theory and Logic
  18. Further on A link Between Set Theory and Logic
  19. Problem-A link Between Set Theory and Logic
2.6: Logical Proofs of the Operations on Sets
  1. Logical Proofs of the Operations on Sets
  2. More on Logical Proofs of the Operations on Sets
2.7: Functions and Their Types  (Practice Test)
  1. Introduction to Function
  2. More on Introduction to Functions
  3. Problem 1: Introduction to Function
  4. Problem-Introduction to Function
  5. Problem3-Introduction to Function
  6. Problem4-Introduction to Function
  7. Implied Domain
  8. Finding Domain and Range of Functions
  9. Types of Relations
  10. Operations on Functions
  11. Into Function
  12. Problem 1: Into Function
  13. Problem-Into Function
  14. Onto Function
  15. Problem 1: Onto Function
  16. Problem-Onto Function
  17. One to One Function
  18. Problem 1: One to One Function
  19. Problem-One to One Correspondence
  20. Bijective Function
  21. Problem 1: Bijective Function
  22. Problem-Bijective Function
  23. Injective Function
  24. Problem 1: Injective Function
  25. Problem-Injective Function
  26. One-One Function
  27. Problem-One-One Function
  28. Set Builder Notation for a Function
  29. Problem-Set Builder Notation for a Function
  30. Formulization of Functions
  31. Algebraic Functions
  32. Linear and Quadratic Functions
  33. Problem-Linear and Quadratic Functions
  34. Inverse of a Function
  35. More on Inverse of a Functions
  36. Problem1-Inverse of a Function
  37. Problem-Inverse of a Function
  38. Domain & Range of Inverse Function
  39. Square Root and Absolute Value Functions
  40. Problem-Square Root and Absolute Value Functions
  41. Constant, Identity and Rational Functions
  42. Problem-Constant, Identity and Rational Functions
  43. Even and Odd Functions
  44. Problem-Even and Odd Functions
  45. The Modulus of a Function
2.8: Binary Operations and Their Properties  (Practice Test)
  1. Introduction to Binary Operations
  2. Problem-Introduction to Binary Operations
  3. Multiplication Table
  4. Problem-Multiplication Table
  5. Operations on Residue Classes Modulo n
  6. Problem-Operations on Residue Classes Modulo n
  7. Properties of Binary Operations
  8. Problem-Properties of Binary Operations
  9. Theorems on Binary Operation
  10. More on Theorems on Binary Operation
  11. Problem-Theorems on Binary Operation
  12. Introduction to Semi-Group
  13. Problem-Introduction to Semi-Group
2.9: Groups  (Practice Test)
  1. Introduction to Groups
  2. Problem-Introduction to Groups
  3. Introduction to Abelian and Non-Abelian Group
  4. Problem-Introduction to Abelian and Non-Abelian Group
  5. Finite and Infinite Group
  6. Problem1-Finite and Infinite Group
  7. Problem2-Finite and Infinite Group
  8. The Set of Rational Numbers is an Abelian Group
  9. The Set of Non-Zero Real Numbers is an Abelian Group
  10. The Set of Complex Numbers is an Abelian Group
  11. Algebraic Method to find the Inverse Function
  12. Problem-Algebraic Method to find the Inverse Function
 

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