Numbers System

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    Chapter 1: Numbers System (141 videos)   (Practice Test)

      1.1: Introduction
      Introduction to Real Numbers
    1. Introduction to Real Numbers
      28676 views
      2. Problem-Introduction to Real Numbers
    2. Problem-Introduction to Real Numbers
      14102 views
      1.2: Rational Numbers and Irrational Numbers (Practice Test)
      Presenting Rational Numbers on Number Line
    1. Presenting Rational Numbers on Number Line
      13271 views
      2. Problem-Decimal Representation of Rational Number
    2. Problem-Decimal Representation of Rational Number
      3539 views
      3. Representation of Irrational Number on Number Line
    3. Representation of Irrational Number on Number Line
      5149 views
      4. Problem1-Decimal Representation of Irrational Number
    4. Problem1-Decimal Representation of Irrational Number
      2160 views
      5. Problem2-Representation of Irrational Number on Number Line
    5. Problem2-Representation of Irrational Number on Number Line
      4175 views
      6. Proving Square Root of Prime Number is Irrational Number
    6. Proving Square Root of Prime Number is Irrational Number
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      7. Problem-Proving Square Root of Prime Number is Irrational Number
    7. Problem-Proving Square Root of Prime Number is Irrational Number
      2588 views
      1.3: Properties of Real Numbers (Practice Test)
      Closure law of Rational Numbers Subtraction and Division
    1. Closure law of Rational Numbers Subtraction and Division
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      2. Commutative Law
    2. Commutative Law
      3762 views
      3. More on Commutative Law
    3. More on Commutative Law
      1384 views
      4. Problem-Commutative Law
    4. Problem-Commutative Law
      810 views
      5. Associative Law
    5. Associative Law
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      6. More on Associative Law
    6. More on Associative Law
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      7. Problem1-Associative Law
    7. Problem1-Associative Law
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      8. Problem2-Associative Law
    8. Problem2-Associative Law
      1754 views
      9. Additive Identity & Additive Inverse
    9. Additive Identity & Additive Inverse
      3206 views
      10. Problem1-Additive Identity & Additive Inverse
    10. Problem1-Additive Identity & Additive Inverse
      603 views
      11. Problem2-Additive Identity & Additive Inverse
    11. Problem2-Additive Identity & Additive Inverse
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      12. Multiplicative Identity & Inverse
    12. Multiplicative Identity & Inverse
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      13. Problem1-Multiplicative Identity & Inverse
    13. Problem1-Multiplicative Identity & Inverse
      551 views
      14. Problem2-Multiplicative Identity & Inverse
    14. Problem2-Multiplicative Identity & Inverse
      1519 views
      15. Distributive Law
    15. Distributive Law
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      16. More on Distributive Law
    16. More on Distributive Law
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      17. Problem1-Distributive Law
    17. Problem1-Distributive Law
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      18. Problem2-Distributive Law
    18. Problem2-Distributive Law
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      19. Problem3- Distributive Law
    19. Problem3- Distributive Law
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      20. Trichotomy Property of Inequality
    20. Trichotomy Property of Inequality
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      21. Problem1-Trichotomy Property of Inequality
    21. Problem1-Trichotomy Property of Inequality
      662 views
      22. Problem2-Trichotomy Property of Inequality
    22. Problem2-Trichotomy Property of Inequality
      2442 views
      23. Reflexive and Symmetric Property of Equality
    23. Reflexive and Symmetric Property of Equality
      3326 views
      24. Problem-Reflexive-Symmetric Property of Equality
    24. Problem-Reflexive-Symmetric Property of Equality
      534 views
      25. Transitive Property of Equality
    25. Transitive Property of Equality
      2705 views
      26. Problem1-Transitive Property of Equality
    26. Problem1-Transitive Property of Equality
      445 views
      27. Problem2-Transitive Property of Equality
    27. Problem2-Transitive Property of Equality
      1533 views
      28. Additive Property of Equality
    28. Additive Property of Equality
      2102 views
      29. Problem-Additive Property of Equality
    29. Problem-Additive Property of Equality
      397 views
      30. Multiplicative Property of Equality
    30. Multiplicative Property of Equality
      1806 views
      31. Problem-Multiplicative Property of Equality
    31. Problem-Multiplicative Property of Equality
      363 views
      32. Cancellation Property of Equality
    32. Cancellation Property of Equality
      2032 views
      33. Problem-Cancellation Property of Equality
    33. Problem-Cancellation Property of Equality
      1287 views
      34. Density Property
    34. Density Property
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      35. Problem-Density Property
    35. Problem-Density Property
      476 views
      36. Archimedian Property of Inequality
    36. Archimedian Property of Inequality
      1394 views
      37. Problem1-Transitive property of Inequality
    37. Problem1-Transitive property of Inequality
      411 views
      38. Problem2-Transitive property of Inequality
    38. Problem2-Transitive property of Inequality
      1936 views
      39. Additive property of inequality
    39. Additive property of inequality
      2720 views
      40. Problem-Additive property of inequality
    40. Problem-Additive property of inequality
      351 views
      41. Multiplicative Property of Inequality
    41. Multiplicative Property of Inequality
      2736 views
      42. Problem2-Multiplicative Property of Inequality
    42. Problem2-Multiplicative Property of Inequality
      1924 views
      43. Inequality multiplicative Inverse
    43. Inequality multiplicative Inverse
      1460 views
      44. Problem-Inequality multiplicative Inverse
    44. Problem-Inequality multiplicative Inverse
      416 views
      45. Indeterminate Form
    45. Indeterminate Form
      644 views
      46. Golden Rule of Fractions
    46. Golden Rule of Fractions
      1290 views
      47. Principle of Equality of Fractions
    47. Principle of Equality of Fractions
      639 views
      48. Rule for Quotient of Fractrions
    48. Rule for Quotient of Fractrions
      591 views
      1.4: Complex Numbers (Practice Test)
      Complex Number Introduction
    1. Complex Number Introduction
      11996 views
      2. Problem1-Complex Number Introduction
    2. Problem1-Complex Number Introduction
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      3. Problem2-Complex Number Introduction
    3. Problem2-Complex Number Introduction
      3844 views
      4. Introduction to Complex Numbers
    4. Introduction to Complex Numbers
      3918 views
      5. Problem2-Definition of Complex Number
    5. Problem2-Definition of Complex Number
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      6. Conjugate of Complex Number
    6. Conjugate of Complex Number
      3570 views
      7. Problem1-Conjugate of Complex Number
    7. Problem1-Conjugate of Complex Number
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      8. Problem2-Conjugate of Complex Number
    8. Problem2-Conjugate of Complex Number
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      9. Problem3-Conjugate of Complex Number
    9. Problem3-Conjugate of Complex Number
      1014 views
      10. Equality of Complex Number
    10. Equality of Complex Number
      2295 views
      11. Problem1-Equality of Complex Number
    11. Problem1-Equality of Complex Number
      1720 views
      12. Problem2-Equality of Complex Number
    12. Problem2-Equality of Complex Number
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      13. Properties of Complex Number
    13. Properties of Complex Number
      2278 views
      14. Problem1-Properties of Complex Number
    14. Problem1-Properties of Complex Number
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      15. Problem2-Properties of Complex Number
    15. Problem2-Properties of Complex Number
      604 views
      16. Reflexive & Symmetric Law of Complex Number
    16. Reflexive & Symmetric Law of Complex Number
      1611 views
      17. Problem 1: Reflexive & Symmetric Law of Complex Number
    17. Problem 1: Reflexive & Symmetric Law of Complex Number
      1226 views
      18. Problem-Reflexive & Symmetric Law of Complex Number
    18. Problem-Reflexive & Symmetric Law of Complex Number
      534 views
      19. Transitive Law of Complex Number
    19. Transitive Law of Complex Number
      1388 views
      20. Problem 1: Transitive Law of Complex Number
    20. Problem 1: Transitive Law of Complex Number
      1153 views
      21. Problem-Transitive Law of Complex Number
    21. Problem-Transitive Law of Complex Number
      478 views
      22. Addition of Complex Number
    22. Addition of Complex Number
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      23. Problem1-Addition of Complex Number
    23. Problem1-Addition of Complex Number
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      24. Problem2-Addition of Complex Number
    24. Problem2-Addition of Complex Number
      595 views
      25. Multiplication of Complex with Scalar Numbers
    25. Multiplication of Complex with Scalar Numbers
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      26. Problem1-Multiplying Complex Numbers with Scalar
    26. Problem1-Multiplying Complex Numbers with Scalar
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      27. Problem2-Scalar Multiplication of Complex Numbers
    27. Problem2-Scalar Multiplication of Complex Numbers
      602 views
      28. Multiplication of Complex Numbers
    28. Multiplication of Complex Numbers
      2194 views
      29. Problem1-Multiplication of Complex Numbers
    29. Problem1-Multiplication of Complex Numbers
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      30. Problem2-Multiplication of Complex Numbers
    30. Problem2-Multiplication of Complex Numbers
      568 views
      31. Problem1-Subtraction of Complex Numbers
    31. Problem1-Subtraction of Complex Numbers
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      32. Problem2-Subtraction of Complex Numbers
    32. Problem2-Subtraction of Complex Numbers
      506 views
      33. Division of Complex Numbers
    33. Division of Complex Numbers
      2003 views
      34. Problem1-Division of Complex Numbers
    34. Problem1-Division of Complex Numbers
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      35. Problem2-Division of Complex Numbers
    35. Problem2-Division of Complex Numbers
      540 views
      36. Division Property of Complex Numbers
    36. Division Property of Complex Numbers
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      37. Problem1-Division Property of Complex Numbers
    37. Problem1-Division Property of Complex Numbers
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      38. Problem2-Division Property of Complex Numbers
    38. Problem2-Division Property of Complex Numbers
      542 views
      39. Commutative Property of Complex Numbers
    39. Commutative Property of Complex Numbers
      1214 views
      40. Problem-Commutative Property of Complex Numbers
    40. Problem-Commutative Property of Complex Numbers
      466 views
      41. Associative Property of Complex Numbers
    41. Associative Property of Complex Numbers
      890 views
      42. Problem-Associative Property of Complex Numbers
    42. Problem-Associative Property of Complex Numbers
      493 views
      43. The Distributive Property of Complex Numbers
    43. The Distributive Property of Complex Numbers
      1054 views
      44. Problem-The Distributive Property of Complex Numbers
    44. Problem-The Distributive Property of Complex Numbers
      463 views
      45. Additive Identity and Multiplicative Identity of Complex Numbers
    45. Additive Identity and Multiplicative Identity of Complex Numbers
      1620 views
      46. Problem-Additive Identity and Multiplicative Identity of Complex Numbers
    46. Problem-Additive Identity and Multiplicative Identity of Complex Numb
      584 views
      47. Additive Inverse and Multiplicative Inverse of Complex Numbers
    47. Additive Inverse and Multiplicative Inverse of Complex Numbers
      2598 views
      48. Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers
    48. Problem-Additive Inverse and Multiplicative Inverse of Complex Numbers
      1182 views
      49. Solution of Simultaneous Linear Equations with Complex Co-efficients
    49. Solution of Simultaneous Linear Equations with Complex Co-efficients
      2278 views
      50. Problem-Solution of Simultaneous Linear Equations with Complex Co-efficients
    50. Problem-Solution of Simultaneous Linear Equations with Complex Co-eff
      1208 views
      51. Expression of the Polynomial P ( z ) as a Product of Linear Factors
    51. Expression of the Polynomial P ( z ) as a Product of Linear Factors
      1377 views
      52. Problem-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
      789 views
      53. Quadratic Equation of Complex Variables
    53. Quadratic Equation of Complex Variables
      775 views
      54. Problem-Quadratic Equation of Complex Variables
    54. Problem-Quadratic Equation of Complex Variables
      719 views
      1.5: The Real Line (Practice Test)
      Presenting Rational Numbers on Number Line
    1. Presenting Rational Numbers on Number Line
      13271 views
      2. Problem-Decimal Representation of Rational Number
    2. Problem-Decimal Representation of Rational Number
      3539 views
      3. Problem-Argand Diagram
    3. Problem-Argand Diagram
      1127 views
      4. Representation of Irrational Number on Number Line
    4. Representation of Irrational Number on Number Line
      5149 views
      5. Problem1-Decimal Representation of Irrational Number
    5. Problem1-Decimal Representation of Irrational Number
      2160 views
      6. Problem-Modulus of Complex Number
    6. Problem-Modulus of Complex Number
      1190 views
      7. Cartesian Coordinate System & Cartesian Plane
    7. Cartesian Coordinate System & Cartesian Plane
      8577 views
      8. Problem on Cartesian Coordinate System & Cartesian Plane
    8. Problem on Cartesian Coordinate System & Cartesian Plane
      1140 views
      1.6: Geometrical Representation of Complex Numbers (Practice Test)
      Argand Diagram
    1. Argand Diagram
      1566 views
      2. Problem-Argand Diagram
    2. Problem-Argand Diagram
      1127 views
      3. The Order Relations
    3. The Order Relations
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      4. Problem-The Order Relations
    4. Problem-The Order Relations
      505 views
      5. Modulus of Complex Number
    5. Modulus of Complex Number
      1553 views
      6. Problem-Modulus of Complex Number
    6. Problem-Modulus of Complex Number
      1190 views
      7. Theorems on Complex Number
    7. Theorems on Complex Number
      1272 views
      8. More on Theorems on Complex Numbers
    8. More on Theorems on Complex Numbers
      803 views
      9. Problem-Theorems on Complex Number
    9. Problem-Theorems on Complex Number
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      10. Vector Interpretation of Complex Numbers
    10. Vector Interpretation of Complex Numbers
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      11. Problem-Vector Interpretation of Complex Numbers
    11. Problem-Vector Interpretation of Complex Numbers
      484 views
      12. The Triangle Inequality
    12. The Triangle Inequality
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      13. Problem-The Triangle Inequality
    13. Problem-The Triangle Inequality
      604 views
      14. Polar Form of a Complex Number
    14. Polar Form of a Complex Number
      1260 views
      15. Problem-Polar Form of a Complex Number
    15. Problem-Polar Form of a Complex Number
      572 views
      16. Problem2-Polar Form of a Complex Number
    16. Problem2-Polar Form of a Complex Number
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      17. Properties of the Arguments
    17. Properties of the Arguments
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      18. Problem-Properties of the Arguments
    18. Problem-Properties of the Arguments
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      19. Formula for Finding the Principal Argument
    19. Formula for Finding the Principal Argument
      2349 views
      20. Problem-Formula for Finding the Principal Argument
    20. Problem-Formula for Finding the Principal Argument
      963 views
      1.7: To Find Real and Imaginary Parts of ( x + i y ) ^n
      Real and Imaginary parts of Expression of Power n
    1. Real and Imaginary parts of Expression of Power n
      1874 views
      2. Problem-Real and Imaginary parts of Expression of Power n
    2. Problem-Real and Imaginary parts of Expression of Power n
      715 views