Numbers System

Punjab Board > Class 11 > Math (Total Videos: 1130)

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Chapter 1: Numbers System (141 videos)   (Practice Test)
1.1: Introduction
  1. Introduction to Real Numbers
  2. Problem-Introduction to Real Numbers
1.2: Rational Numbers and Irrational Numbers  (Practice Test)
  1. Presenting Rational Numbers on Number Line
  2. Problem-Decimal Representation of Rational Number
  3. Representation of Irrational Number on Number Line
  4. Problem-Decimal Representation of Irrational Number
  5. Problem-Representation of Irrational Number on Number line
  6. Proving Square Root of Prime Number is Irrational Number
  7. Problem-Proving Square Root of Prime Number is Irrational Number
1.3: Properties of Real Numbers  (Practice Test)
  1. Closure law of Rational Numbers Subtraction and Division
  2. Commutative Law
  3. Commutative law under Subtration and Division
  4. Problem-Commutative Law
  5. Associative Law
  6. Associative law of Subtraction and Division
  7. Problem-Associative Law
  8. Problem 1: Associative Law
  9. Additive Identity & Additive Inverse
  10. Problem-Additive Identity & Additive Inverse
  11. Problem 1: Additive Identity & Additive Inverse
  12. Multiplicative Identity & Inverse
  13. Problem-Multiplicative Identity & Inverse
  14. Problem 1: Multiplicative Identity & Inverse
  15. Distributive Law
  16. Distributive Property of Multiplication over Subtraction
  17. Problem-Distributive Law
  18. Problem 1: Distributive Law
  19. Problem 1: Distributive law of Multiplication over Subtraction
  20. Trichotomy Property of Inequality
  21. Problem-Trichotomy Property of Inequality
  22. Problem 1: Trichotomy Property of Inequality
  23. Reflexive And Symmetric Property of Equality
  24. Problem-Reflexive And Symmetric Property of Equality
  25. Transitive Property of Equality
  26. Problem-Transitive Property of Equality
  27. Problem 1: Transitive Property of Equality
  28. Additive Property of Equality
  29. Problem-Additive Property of Equality
  30. Multiplicative Property of Equality
  31. Problem-Multiplicative Property of Equality
  32. Cancellation Property of Equality
  33. Problem 1: Cancellation Property of Equality
  34. Density Property
  35. Problem-Density Property
  36. Archimedian Property of Inequality
  37. Problem-Transitive Property of Inequality
  38. Problem 1: Transitive Property of Inequality
  39. Additive Property of Inequality
  40. Problem-Additive Property of Inequality
  41. Multiplicative Property of Inequality
  42. Problem 1: Multiplicative Property of Inequality
  43. Inequality Multiplicative Inverse
  44. Problem-Inequality Multiplicative Inverse
  45. Indeterminate Form
  46. Golden Rule of Fractions
  47. Principle of Equality of Fractions
  48. Rule for Quotient of Fractrions
1.4: Complex Numbers  (Practice Test)
  1. Complex Number Introduction
  2. Problem-Complex Number Introduction
  3. Problem 1: Complex Number Introduction
  4. Definition of Complex Number
  5. Problem-Definition of Complex Number
  6. Conjugate of Complex Number
  7. Problem 1: Conjugate of Complex Number
  8. Problem 2: Conjugate of Complex Number
  9. Problem-Conjugate of Complex Number
  10. Equality of Complex Number
  11. Problem 1: Equality of Complex Number
  12. Problem-Equality of Complex Number
  13. Properties of Complex Number
  14. Problem 1: Properties of Complex Number
  15. Problem-Properties of Complex Number
  16. Reflexive & Symmetric Law of Complex Number
  17. Problem 1: Reflexive & Symmetric Law of Complex Number
  18. Problem-Reflexive & Symmetric Law of Complex Number
  19. Transitive Law of Complex Number
  20. Problem 1: Transitive Law of Complex Number
  21. Problem-Transitive Law of Complex Number
  22. Addition of Complex Number
  23. Problem 1: Addition of Complex Number
  24. Problem-Addition of Complex Number
  25. Multiplication of Complex with Scalar Numbers
  26. Problem 1: Multiplication of Complex with Scalar Numbers
  27. Problem-Scalar Multiplication of Complex Numbers
  28. Multiplication of Complex Numbers
  29. Problem 1: Multiplication of Complex Numbers
  30. Problem-Multiplication of Complex Numbers
  31. Problem 1: Subtraction of Complex Numbers
  32. Problem-Subtraction of Complex Numbers
  33. Division of Complex Numbers
  34. Problem 1: Division of Complex Numbers
  35. Problem-Division of Complex Numbers
  36. Division Property of Complex Numbers
  37. Problem-Expressing complex number in standard form
  38. Problem-Division Property of Complex Numbers
  39. Commutative Property of Complex Numbers
  40. Problem-Commutative Property of Complex Numbers
  41. Associative Property of Complex Numbers
  42. Problem-Associative Property of Complex Numbers
  43. The Distributive Property of Complex Numbers
  44. Problem-The Distributive Property of Complex Numbers
  45. Additive Identity and Multiplicative Identity of Complex Numbers
  46. Problem-Additive Identity and Multiplicative Identity of Complex Numb
  47. Additive Inverse and Multiplicative Inverse of Complex Numbers
  48. Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers
  49. Solution of Simultaneous Linear Equations with Complex Co-efficients
  50. Problem-Solution of Simultaneous Linear Equations with Complex Co-eff
  51. Expression of the Polynomial P ( z ) as a Product of Linear Factors
  52. Problem-Expression of the Polynomial P ( z ) as a Product of Linear F
  53. Quadratic Equation of Complex Variables
  54. Problem-Quadratic Equation of Complex Variables
1.5: The Real Line  (Practice Test)
  1. Presenting Rational Numbers on Number Line
  2. Problem-Decimal Representation of Rational Number
  3. Problem-Argand Diagram
  4. Representation of Irrational Number on Number Line
  5. Problem-Decimal Representation of Irrational Number
  6. Problem-Modulus of Complex Number
  7. Cartesian Coordinate System & Cartesian Plane
  8. Problem 1: Cartesian Coordinate System & Cartesian Plane
1.6: Geometrical Representation of Complex Numbers  (Practice Test)
  1. Argand Diagram
  2. Problem-Argand Diagram
  3. The Order Relations
  4. Problem-The Order Relations
  5. Modulus of Complex Number
  6. Problem-Modulus of Complex Number
  7. Theorems on Complex Number
  8. More on Theorems on Complex Numbers
  9. Problem-Theorems on Complex Number
  10. Vector Interpretation of Complex Numbers
  11. Problem-Vector Interpretation of Complex Numbers
  12. The Triangle Inequality
  13. Problem-The Triangle Inequality
  14. Polar Form of a Complex Number
  15. Problem-Polar Form of a Complex Number
  16. Problem2-Polar Form of a Complex Number
  17. Properties of the Arguments
  18. Problem-Properties of the Arguments
  19. Formula for Finding the Principal Argument
  20. Problem-Formula for Finding the Principal Argument
1.7: To Find Real and Imaginary Parts of ( x + i y ) ^n
  1. Real and Imaginary parts of Expression of Power n
  2. Problem-Real and Imaginary parts of Expression of Power n