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Pakistan Board > ecat > Math (Total Videos: 1775)

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Chapter 1: Numbers System (147 videos)
1.1: Introduction
  1. Introduction to Real Numbers
  2. Problem-Introduction to Real Numbers
1.2: Rational Numbers and Irrational Numbers
  1. Presenting Rational Numbers on Number Line DEMO
  2. Problem-Decimal Representation of Rational Number
  3. Presenting Irrational Numbers on Number Line
  4. Problem-Decimal Representation of Irrational Number
  5. Problem 1: Presenting Irrational Numbers 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
  1. Closure Law of Rational Numbers DEMO
  2. Closure law of Rational Numbers Subtraction and Division
  3. Problem-Closure Law of Rational Numbers
  4. Problem 1: Closure Law of Rational Numbers
  5. Commutative Law
  6. Commutative law under Subtration and Division
  7. Problem-Commutative Law
  8. Associative Law
  9. Associative law of Subtraction and Division
  10. Problem-Associative Law
  11. Problem 1: Associative Law
  12. Additive Identity & Additive Inverse
  13. Problem-Additive Identity & Additive Inverse
  14. Problem 1: Additive Identity & Additive Inverse
  15. Multiplicative Identity & Inverse
  16. Problem-Multiplicative Identity & Inverse
  17. Problem 1: Multiplicative Identity & Inverse
  18. Distributive Law
  19. Distributive Property of Multiplication over Subtraction
  20. Problem-Distributive Law
  21. Problem 1: Distributive Law
  22. Problem 1: Distributive law of Multiplication over Subtraction
  23. Trichotomy Property of Inequality
  24. Problem-Trichotomy Property of Inequality
  25. Problem 1: Trichotomy Property of Inequality
  26. Reflexive And Symmetric Property of Equality
  27. Problem-Reflexive And Symmetric Property of Equality
  28. Transitive Property of Equality
  29. Problem-Transitive Property of Equality
  30. Problem 1: Transitive Property of Equality
  31. Additive Property of Equality
  32. Problem-Additive Property of Equality
  33. Multiplicative Property of Equality
  34. Problem-Multiplicative Property of Equality
  35. Cancellation Property of Equality
  36. Problem-Cancellation Property of Equality
  37. Problem 1: Cancellation Property of Equality
  38. Density Property
  39. Problem-Density Property
  40. Archimedian Property of Inequality
  41. Problem-Transitive Property of Inequality
  42. Problem 1: Transitive Property of Inequality
  43. Additive Property of Inequality
  44. Problem-Additive Property of Inequality
  45. Multiplicative Property of Inequality
  46. Problem 1: Multiplicative Property of Inequality
  47. Inequality Multiplicative Inverse
  48. Problem-Inequality Multiplicative Inverse
  49. Indeterminate Form
  50. Golden Rule of Fractions
  51. Principle of Equality of Fractions
  52. Rule for Quotient of Fractrions
1.4: Complex Numbers
  1. Complex Number Introduction DEMO
  2. Problem-Complex Number Introduction
  3. Problem 1: Complex Number Introduction
  4. Definition of Complex Number
  5. Problem 1: Definition of Complex Number
  6. Problem-Definition of Complex Number
  7. Conjugate of Complex Number
  8. Problem 1: Conjugate of Complex Number
  9. Problem 2: Conjugate of Complex Number
  10. Problem-Conjugate of Complex Number
  11. Equality of Complex Number
  12. Problem 1: Equality of Complex Number
  13. Problem-Equality of Complex Number
  14. Properties of Complex Number
  15. Problem 1: Properties of Complex Number
  16. Problem-Properties of Complex Number
  17. Reflexive & Symmetric Law of Complex Number
  18. Problem 1: Reflexive & Symmetric Law of Complex Number
  19. Problem-Reflexive & Symmetric Law of Complex Number
  20. Transitive Law of Complex Number
  21. Problem 1: Transitive Law of Complex Number
  22. Problem-Transitive Law of Complex Number
  23. Addition of Complex Number
  24. Problem 1: Addition of Complex Number
  25. Problem-Addition of Complex Number
  26. Multiplication of Complex with Scalar Numbers
  27. Problem 1: Multiplication of Complex with Scalar Numbers
  28. Problem-Scalar Multiplication of Complex Numbers
  29. Multiplication of Complex Numbers
  30. Problem 1: Multiplication of Complex Numbers
  31. Problem-Multiplication of Complex Numbers
  32. Subtraction of Complex Numbers
  33. Problem 1: Subtraction of Complex Numbers
  34. Problem-Subtraction of Complex Numbers
  35. Division of Complex Numbers
  36. Problem 1: Division of Complex Numbers
  37. Problem-Division of Complex Numbers
  38. Division Property of Complex Numbers
  39. Problem 1: Division Property of Complex Numbers
  40. Problem-Division Property of Complex Numbers
  41. Commutative Property of Complex Numbers
  42. Problem-Commutative Property of Complex Numbers
  43. Associative Property of Complex Numbers
  44. Problem-Associative Property of Complex Numbers
  45. The Distributive Property of Complex Numbers
  46. Problem-The Distributive Property of Complex Numbers
  47. Additive Identity and Multiplicative Identity of Complex Numbers
  48. Problem-Additive Identity and Multiplicative Identity of Complex Numb
  49. Additive Inverse and Multiplicative Inverse of Complex Numbers
  50. Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers
  51. Solution of Simultaneous Linear Equations with Complex Co-efficients
  52. Problem-Solution of Simultaneous Linear Equations with Complex Co-eff
  53. Expression of the Polynomial P ( z ) as a Product of Linear Factors
  54. Problem-Expression of the Polynomial P ( z ) as a Product of Linear F
  55. Quadratic Equation of Complex Variables
  56. Problem-Quadratic Equation of Complex Variables
1.5: The Real Line
  1. Presenting Rational Numbers on Number Line DEMO
  2. Problem-Decimal Representation of Rational Number
  3. Problem-Argand Diagram
  4. Presenting Irrational Numbers 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
  1. Argand Diagram DEMO
  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
 

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