Math | Class 9

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    Chapter 1 Algebra ( 123 videos)  (Practice Test)

      1.1: Sequence and Series (Practice Test)
      Concept of Arithmetic Progression
    1. Concept of Arithmetic Progression
      4717 views
      2. Problem-Concept of Arithmetic Progression
    2. Problem-Concept of Arithmetic Progression
      2716 views
      3. Concept of Geometric Progressions
    3. Concept of Geometric Progressions
      2263 views
      4. Problem1-Concept of Geometric Progressions
    4. Problem1-Concept of Geometric Progressions
      1213 views
      5. Problem2-Concept of Geometric Progressions
    5. Problem2-Concept of Geometric Progressions
      963 views
      6. Concept of Series
    6. Concept of Series
      1872 views
      7. Problem1-Concept of Series
    7. Problem1-Concept of Series
      1517 views
      8. Problem2-Concept of Series
    8. Problem2-Concept of Series
      1005 views
      1.2: Sum of Series (Practice Test)
      Sum of First n Terms of an Arithmetic Series
    1. Sum of First n Terms of an Arithmetic Series
      1609 views
      2. Problem-Sum of First n Terms of an Arithmetic Series
    2. Problem-Sum of First n Terms of an Arithmetic Series
      1004 views
      3. Introduction to Geometric Series
    3. Introduction to Geometric Series
      1123 views
      4. Problem-Introduction to Geometric Series
    4. Problem-Introduction to Geometric Series
      790 views
      5. Sum of n Terms of a Geometric Series
    5. Sum of n Terms of a Geometric Series
      1116 views
      6. Problem-Sum of n Terms of a Geometric Series
    6. Problem-Sum of n Terms of a Geometric Series
      711 views
      7. The Infinite Geometric Series
    7. The Infinite Geometric Series
      1867 views
      8. More on The Infinite Geometric Series
    8. More on The Infinite Geometric Series
      682 views
      9. Problem1-The Infinite Geometric Series
    9. Problem1-The Infinite Geometric Series
      530 views
      10. Problem2-The Infinite Geometric Series
    10. Problem2-The Infinite Geometric Series
      496 views
      1.3: Applications. (Practice Test)
      Word Problems on Geometric Series
    1. Word Problems on Geometric Series
      929 views
      2. More on Word Problems on Geometric Series
    2. More on Word Problems on Geometric Series
      487 views
      3. Problem1-Word Problems on Geometric Series
    3. Problem1-Word Problems on Geometric Series
      474 views
      4. Problem2-Word Problems on Geometric Series
    4. Problem2-Word Problems on Geometric Series
      384 views
      5. Problem3-Word Problems on Geometric Series
    5. Problem3-Word Problems on Geometric Series
      381 views
      1.4: Elementary treatment of exponents and logarithms. (Practice Test)
      Law of Change of Base of Logarithm
    1. Law of Change of Base of Logarithm
      6017 views
      2. Problem-Law of Change of Base of Logarithm
    2. Problem-Law of Change of Base of Logarithm
      2897 views
      3. Product Law of Logarithm
    3. Product Law of Logarithm
      3111 views
      4. Problem-Product Law of Logarithm
    4. Problem-Product Law of Logarithm
      2165 views
      5. Power Law of Logarithm
    5. Power Law of Logarithm
      2108 views
      6. Problem-Power Law of Logarithm
    6. Problem-Power Law of Logarithm
      1717 views
      7. Quotient Law of Logarithm
    7. Quotient Law of Logarithm
      2043 views
      8. Problem-Quotient Law of Logarithm
    8. Problem-Quotient Law of Logarithm
      2262 views
      9. Applications of Logarithm Laws in Calculations
    9. Applications of Logarithm Laws in Calculations
      4719 views
      10. Problem1-Applications of Logarithm Laws
    10. Problem1-Applications of Logarithm Laws
      2337 views
      11. Problem3-Applications of Logarithm Laws
    11. Problem3-Applications of Logarithm Laws
      4196 views
      12. Problem4-Applications of Logarithm Laws
    12. Problem4-Applications of Logarithm Laws
      2259 views
      13. Problem5-Applications of Logarithm Laws
    13. Problem5-Applications of Logarithm Laws
      2949 views
      14. Exponent or Index Definition
    14. Exponent or Index Definition
      5704 views
      15. Problem-Exponent or Index Definition
    15. Problem-Exponent or Index Definition
      2972 views
      16. Law of Sum of Power of Exponents
    16. Law of Sum of Power of Exponents
      3154 views
      17. Problem-Law of Sum of Power of Exponents
    17. Problem-Law of Sum of Power of Exponents
      1855 views
      18. Law of Power of Product of Exponent
    18. Law of Power of Product of Exponent
      3028 views
      19. Problem-Law of Power of Product of Exponent
    19. Problem-Law of Power of Product of Exponent
      1350 views
      20. Law of Power of Power of Exponent
    20. Law of Power of Power of Exponent
      2352 views
      21. Problem-Law of Power of Power of Exponent
    21. Problem-Law of Power of Power of Exponent
      1179 views
      22. Law of Quotient of Power with Same Base
    22. Law of Quotient of Power with Same Base
      2037 views
      23. Problem-Law of Quotient of Power with Same Base
    23. Problem-Law of Quotient of Power with Same Base
      1134 views
      24. Law of Power of a Fraction
    24. Law of Power of a Fraction
      1856 views
      25. Problem-Law of Power of a Fraction
    25. Problem-Law of Power of a Fraction
      1336 views
      26. Zero and negative indices
    26. Zero and negative indices
      1286 views
      27. Prove of x raise to power zero is one
    27. Prove of x raise to power zero is one
      724 views
      28. Problem-Prove of x raise to power zero is 1
    28. Problem-Prove of x raise to power zero is 1
      638 views
      29. Prefixes used in everyday life
    29. Prefixes used in everyday life
      278 views
      30. Using calculator for solving exponents
    30. Using calculator for solving exponents
      275 views
      31. Applications of Laws of Exponents
    31. Applications of Laws of Exponents
      2191 views
      32. Problem-Applications of Laws of Exponents
    32. Problem-Applications of Laws of Exponents
      1796 views
      33. Introduction to Rational Exponents
    33. Introduction to Rational Exponents
      1708 views
      34. Problem-Introduction to Rational Exponents
    34. Problem-Introduction to Rational Exponents
      1057 views
      35. Properties of rational exponents
    35. Properties of rational exponents
      936 views
      36. Problem-Properties of rational exponents
    36. Problem-Properties of rational exponents
      916 views
      1.5: The quadratic function (Practice Test)
      Quadratic Equations in 1 Variable
    1. Quadratic Equations in 1 Variable
      31751 views
      2. Graphs of the form y = ± ( x - a ).( x - b )
    2. Graphs of the form y = ± ( x - a ).( x - b )
      360 views
      3. Graphs of the form y = ± ( x - p ).( x - p ) + q
    3. Graphs of the form y = ± ( x - p ).( x - p ) + q
      239 views
      1.6: The reciprocal function (Practice Test)
      Graphs of Reciprocal Functions
    1. Graphs of Reciprocal Functions
      616 views
      2. Graphs of Rational Functions
    2. Graphs of Rational Functions
      89 views
      1.7: Exponential functions and their graphs (Practice Test)
      Exponential Functions
    1. Exponential Functions
      2470 views
      2. Graph of the Exponential Function
    2. Graph of the Exponential Function
      1482 views
      3. Problem1-Graph of the Exponential Function
    3. Problem1-Graph of the Exponential Function
      788 views
      4. More on Graph of Exponential Function
    4. More on Graph of Exponential Function
      698 views
      5. Problem1-More on Graph of Exponential Function
    5. Problem1-More on Graph of Exponential Function
      602 views
      1.8: Logarithmic functions and their graphs: (Practice Test)
      Logarithmic Function
    1. Logarithmic Function
      2142 views
      2. More on Logarithmic Function
    2. More on Logarithmic Function
      1434 views
      3. Graph of Common Logarithmic Function
    3. Graph of Common Logarithmic Function
      771 views
      4. Problem1-Graph of Common Logarithmic Function
    4. Problem1-Graph of Common Logarithmic Function
      573 views
      5. Graph of Natural Logarithmic Function
    5. Graph of Natural Logarithmic Function
      636 views
      6. Problem1-Graph of Natural Logarithmic Function
    6. Problem1-Graph of Natural Logarithmic Function
      500 views
      1.9: Solving equations (Practice Test)
      Quadratic Equations in 1 Variable
    1. Quadratic Equations in 1 Variable
      31751 views
      2. Problem-Quadratic Equations in 1 Variable
    2. Problem-Quadratic Equations in 1 Variable
      15016 views
      3. Solving Quadratic Equations by Factorization
    3. Solving Quadratic Equations by Factorization
      12270 views
      4. Problem-Solving Quadratic Equations by Factorization
    4. Problem-Solving Quadratic Equations by Factorization
      5593 views
      5. Solving Quadratic Equations-Completing Squares
    5. Solving Quadratic Equations-Completing Squares
      16996 views
      6. Problem1-Solving Quadratic Equations-Completing Squares
    6. Problem1-Solving Quadratic Equations-Completing Squares
      7632 views
      7. Problem2-Solving Quadratic Equations-Completing Squares
    7. Problem2-Solving Quadratic Equations-Completing Squares
      5835 views
      8. Converting 2nd degree expression into perfect square
    8. Converting 2nd degree expression into perfect square
      9. Problem-Converting 2nd degree expression
    9. Problem-Converting 2nd degree expression
      10. Derivation of Quadratic Formula by Completing Square
    10. Derivation of Quadratic Formula by Completing Square
      5622 views
      11. Problem-Derivation of Quadratic Formula by Completing Square
    11. Problem-Derivation of Quadratic Formula by Completing Square
      3299 views
      12. Solving Quadratic Equation-Quadratic Formula
    12. Solving Quadratic Equation-Quadratic Formula
      4757 views
      13. Problem1-Solving Quadratic Equation-Quadratic Formula
    13. Problem1-Solving Quadratic Equation-Quadratic Formula
      3136 views
      14. Problem2-Solving Quadratic Equation-Quadratic Formula
    14. Problem2-Solving Quadratic Equation-Quadratic Formula
      3132 views
      15. Problem-Solving Involving Quadratic Equations
    15. Problem-Solving Involving Quadratic Equations
      1003 views
      16. Discriminant of Quadratic Expression
    16. Discriminant of Quadratic Expression
      6269 views
      17. Problem-Discriminant of Quadratic Expression
    17. Problem-Discriminant of Quadratic Expression
      3329 views
      18. Finding Discriminant of Quadratic Equation
    18. Finding Discriminant of Quadratic Equation
      2518 views
      19. Problem-Finding Discriminant of Quadratic Equation
    19. Problem-Finding Discriminant of Quadratic Equation
      2340 views
      20. Nature of Roots of Quadratic Equation
    20. Nature of Roots of Quadratic Equation
      3522 views
      21. Problem-Nature of Roots of Quadratic Equation
    21. Problem-Nature of Roots of Quadratic Equation
      2462 views
      22. Quadratic Function
    22. Quadratic Function
      408 views
      23. Geometrical Interpretation and the Discriminant
    23. Geometrical Interpretation and the Discriminant
      357 views
      24. Problem1-Geometrical Interpretation and the Discriminant-1
    24. Problem1-Geometrical Interpretation and the Discriminant-1
      297 views
      25. Problem1-Geometrical Interpretation and the Discriminant-2
    25. Problem1-Geometrical Interpretation and the Discriminant-2
      246 views
      26. Problem2-Geometrical Interpretation and the Discriminant-1
    26. Problem2-Geometrical Interpretation and the Discriminant-1
      228 views
      27. Verifying Nature of Roots of Equation
    27. Verifying Nature of Roots of Equation
      2193 views
      28. Finding Unknown with Given Nature of Roots
    28. Finding Unknown with Given Nature of Roots
      330 views
      29. Problem1-Finding Unknown with Given Nature of Roots
    29. Problem1-Finding Unknown with Given Nature of Roots
      2487 views
      30. Problem2-Finding Unknown with Given Nature of Roots
    30. Problem2-Finding Unknown with Given Nature of Roots
      2594 views
      31. Roots & Coefficients of Quadratic Equation
    31. Roots & Coefficients of Quadratic Equation
      3490 views
      32. Problem-Roots & Coefficients of Quadratic Equation
    32. Problem-Roots & Coefficients of Quadratic Equation
      2073 views
      33. Finding Sum of Roots from Their Product
    33. Finding Sum of Roots from Their Product
      1809 views
      34. Problem-Finding Sum of Roots from Their Product
    34. Problem-Finding Sum of Roots from Their Product
      1483 views
      35. Finding Sum of Roots From Their Square
    35. Finding Sum of Roots From Their Square
      1343 views
      36. Problem-Finding Sum of Roots from Their Square
    36. Problem-Finding Sum of Roots from Their Square
      1183 views
      37. Two Roots Differ by Given Number
    37. Two Roots Differ by Given Number
      1960 views
      38. Roots Satisfy Given Relation
    38. Roots Satisfy Given Relation
      1485 views
      39. Sum & Product of Roots Equal to Number
    39. Sum & Product of Roots Equal to Number
      1316 views
      40. Solving Exponential Equations
    40. Solving Exponential Equations
      2688 views
      41. Equations with Different Exponential Functions
    41. Equations with Different Exponential Functions
      500 views
      42. More on Equations with Different Exponential Functions
    42. More on Equations with Different Exponential Functions
      338 views
      43. Problem-Equations with Different Exponential Functions
    43. Problem-Equations with Different Exponential Functions
      322 views
      44. Equations with Special Base e
    44. Equations with Special Base e
      374 views
      45. Problem-Equations with Special Base e
    45. Problem-Equations with Special Base e
      245 views
      46. Exponential Modelling
    46. Exponential Modelling
      316 views
      47. Problem1-Exponential Modelling
    47. Problem1-Exponential Modelling
      235 views
      48. Problem2-Exponential Modelling
    48. Problem2-Exponential Modelling
      225 views

    Chapter 2 Circular functions and trigonometry ( 80 videos)  (Practice Test)

      2.1: The circle (Practice Test)
      Radian Measure of an Angle
    1. Radian Measure of an Angle
      5165 views
      2. Problem1-Radian Measure of an Angle
    2. Problem1-Radian Measure of an Angle
      1884 views
      3. Problem2-Radian Measure of an Angle
    3. Problem2-Radian Measure of an Angle
      1268 views
      4. Area of a Circular Sector
    4. Area of a Circular Sector
      3384 views
      5. Problem1-Area of a Circular Sector.
    5. Problem1-Area of a Circular Sector.
      2179 views
      6. Problem2-Area of a Circular Sector.
    6. Problem2-Area of a Circular Sector.
      726 views
      7. Problems Using Arcs and Sectors
    7. Problems Using Arcs and Sectors
      740 views
      8. More on Problems Using Arcs and Sectors
    8. More on Problems Using Arcs and Sectors
      665 views
      9. Trigonometric Ratios & Their Reciprocals
    9. Trigonometric Ratios & Their Reciprocals
      3854 views
      10. Problem1-Trigonometric Ratios & Their Reciprocals
    10. Problem1-Trigonometric Ratios & Their Reciprocals
      412 views
      11. Problem2-Trigonometric Ratios & Their Reciprocals
    11. Problem2-Trigonometric Ratios & Their Reciprocals
      2003 views
      12. Trigonometric Ratios of 45 Degree
    12. Trigonometric Ratios of 45 Degree
      6104 views
      13. Problem-Trigonometric Ratios of 45 Degree
    13. Problem-Trigonometric Ratios of 45 Degree
      2499 views
      14. Trigonometric Ratios of 30 & 60 Degree
    14. Trigonometric Ratios of 30 & 60 Degree
      5589 views
      15. Problem1-Trigonometric Ratios of 30 & 60 Degree
    15. Problem1-Trigonometric Ratios of 30 & 60 Degree
      1981 views
      16. Problem2-Trigonometric Ratios of 30 & 60 Degree
    16. Problem2-Trigonometric Ratios of 30 & 60 Degree
      817 views
      17. Trigonometric Functions for a Unit Circle
    17. Trigonometric Functions for a Unit Circle
      1094 views
      18. Values of Remaining Trigonometric Ratios
    18. Values of Remaining Trigonometric Ratios
      2183 views
      19. Values of Trigonometric Ratios at Quadrantal Angle
    19. Values of Trigonometric Ratios at Quadrantal Angle
      3344 views
      20. Problem-Values of Trigonometric Ratios at Quadrantal Angle
    20. Problem-Values of Trigonometric Ratios at Quadrantal Angle
      3425 views
      21. Values of Trigonometric Ratios
    21. Values of Trigonometric Ratios
      339 views
      22. Tables of Trigonometric Ratios
    22. Tables of Trigonometric Ratios
      1089 views
      23. Problem1-Tables of Trigonometric Ratios
    23. Problem1-Tables of Trigonometric Ratios
      3681 views
      24. Problem2-Tables of Trigonometric Ratios
    24. Problem2-Tables of Trigonometric Ratios
      348 views
      25. Problem3-Tables of Trigonometric Ratios
    25. Problem3-Tables of Trigonometric Ratios
      246 views
      26. Problem4-Tables of Trigonometric Ratios
    26. Problem4-Tables of Trigonometric Ratios
      429 views
      2.2: The Pythagorean identity
      Proof of Fundamental Trigonometric Identity
    1. Proof of Fundamental Trigonometric Identity
      6632 views
      2.3: Double angle identities for sine and cosine.
      Double Angle Identities
    1. Double Angle Identities
      1172 views
      2. Problem-Double Angle Identities
    2. Problem-Double Angle Identities
      750 views
      2.4: Relationship between trigonometric ratios. (Practice Test)
      Half Angle Identities
    1. Half Angle Identities
      942 views
      2. Problem-Half Angle Identities
    2. Problem-Half Angle Identities
      545 views
      3. Triple Angle Identities
    3. Triple Angle Identities
      711 views
      4. More on Triple Angle Identities
    4. More on Triple Angle Identities
      372 views
      5. Further on Triple Angle Identities
    5. Further on Triple Angle Identities
      297 views
      6. Problem1-Triple Angle Identities
    6. Problem1-Triple Angle Identities
      346 views
      7. Problem2-Triple Angle Identities
    7. Problem2-Triple Angle Identities
      300 views
      8. Product to Sum or Difference of Sines and Cosines
    8. Product to Sum or Difference of Sines and Cosines
      1052 views
      9. Problem-Product to Sum or Difference of Sines and Cosines
    9. Problem-Product to Sum or Difference of Sines and Cosines
      584 views
      10. Sum or Difference to Product of Sines and Cosines
    10. Sum or Difference to Product of Sines and Cosines
      597 views
      11. More on Sum or Difference to Product of Sines and Cosines
    11. More on Sum or Difference to Product of Sines and Cosines
      420 views
      12. Problem-Sum or Difference to Product of Sines and Cosines
    12. Problem-Sum or Difference to Product of Sines and Cosines
      476 views
      13. Applications of Product of Sines and Cosines
    13. Applications of Product of Sines and Cosines
      594 views
      2.5: The circular functions (Practice Test)
      Domain and Ranges of Trigonometric Functions and Fundamental Identities
    1. Domain and Ranges of Trigonometric Functions and Fundamental Identiti
      5295 views
      2. Problem1-Domain and Ranges of Trigonometric Functions and Fundamental Identities
    2. Problem1-Domain and Ranges of Trigonometric Functions and Fundamental
      2341 views
      3. Problem2-Domain and Ranges of Trigonometric Functions and Fundamental Identities
    3. Problem2-Domain and Ranges of Trigonometric Functions and Fundamental
      1219 views
      4. Problem3-Domain and Ranges of Trigonometric Functions and Fundamental Identities
    4. Problem3-Domain and Ranges of Trigonometric Functions and Fundamental
      968 views
      5. Domain and Ranges of Sine and Cosine Functions
    5. Domain and Ranges of Sine and Cosine Functions
      1519 views
      6. More on Domain and Ranges of Sine and Cosine Functions
    6. More on Domain and Ranges of Sine and Cosine Functions
      729 views
      7. Problem-Domain and Ranges of Sine and Cosine Functions
    7. Problem-Domain and Ranges of Sine and Cosine Functions
      586 views
      8. Domain and Ranges of Tangent and Cotangent Functions
    8. Domain and Ranges of Tangent and Cotangent Functions
      1159 views
      9. More on Domain and Ranges of Tangent and Cotangent Functions
    9. More on Domain and Ranges of Tangent and Cotangent Functions
      695 views
      10. Problem-Domain and Ranges of Tangent and Cotangent Functions
    10. Problem-Domain and Ranges of Tangent and Cotangent Functions
      488 views
      11. Domain and Range of Secant Function
    11. Domain and Range of Secant Function
      792 views
      12. More on Domain and Range of Secant Function
    12. More on Domain and Range of Secant Function
      410 views
      13. Domain and Ranges of Cosecant Function
    13. Domain and Ranges of Cosecant Function
      534 views
      14. More on Domain and Range of Cosecant Function
    14. More on Domain and Range of Cosecant Function
      348 views
      15. Problem-Domain and Range of Cosecant Function
    15. Problem-Domain and Range of Cosecant Function
      360 views
      16. Introduction to Period of Trigonometric Functions
    16. Introduction to Period of Trigonometric Functions
      2782 views
      17. Problem-Introduction to Period of Trigonometric Functions
    17. Problem-Introduction to Period of Trigonometric Functions
      1098 views
      18. Values of Trigonometric Functions
    18. Values of Trigonometric Functions
      591 views
      19. Problem-Values of Trigonometric Functions
    19. Problem-Values of Trigonometric Functions
      366 views
      20. Graphs of Trigonometric Functions
    20. Graphs of Trigonometric Functions
      1836 views
      21. Problem-Graphs of Trigonometric Functions
    21. Problem-Graphs of Trigonometric Functions
      919 views
      22. Problem1-Graph of y = Sin x From - 360 to 360 Degree
    22. Problem1-Graph of y = Sin x From - 360 to 360 Degree
      533 views
      23. Problem1-Graph of y = Cos x From - 360 to 360 Degree
    23. Problem1-Graph of y = Cos x From - 360 to 360 Degree
      322 views
      24. Problem2-Graph of y = Cos x From - 360 to 360 Degree
    24. Problem2-Graph of y = Cos x From - 360 to 360 Degree
      278 views
      25. Graph of y = Tan x From - 180 to 180 Degree
    25. Graph of y = Tan x From - 180 to 180 Degree
      684 views
      26. Problem-Graph of y = Tan x From - 180 to 180 Degree
    26. Problem-Graph of y = Tan x From - 180 to 180 Degree
      397 views
      27. Graph of y = Cot x From - 360 to 180 Degree
    27. Graph of y = Cot x From - 360 to 180 Degree
      380 views
      28. Problem-Graph of y = Cot x From - 360 to 180 Degree
    28. Problem-Graph of y = Cot x From - 360 to 180 Degree
      270 views
      29. Problem-Graph of y = Sec x From - 360 to 360 Degree
    29. Problem-Graph of y = Sec x From - 360 to 360 Degree
      255 views
      30. Problem-Graph of y = Cosec x From - 360 to 360 Degree
    30. Problem-Graph of y = Cosec x From - 360 to 360 Degree
      220 views
      31. Graph of Sin2A and Cos2A Where A is a Positive Constant
    31. Graph of Sin2A and Cos2A Where A is a Positive Constant
      402 views
      32. More on Graph of Sin2A and Cos2A Where A is a Positive Constant
    32. More on Graph of Sin2A and Cos2A Where A is a Positive Constant
      273 views
      33. Symmetric Properties of the Graph of SinA, CosA and TanA
    33. Symmetric Properties of the Graph of SinA, CosA and TanA
      453 views
      34. Periodic Properties of the Graph of SinA, CosA and TanA
    34. Periodic Properties of the Graph of SinA, CosA and TanA
      507 views
      35. Translation Property of the Graph of SinA, CosA and TanA
    35. Translation Property of the Graph of SinA, CosA and TanA
      446 views
      36. More on Translation Property of the Graph of SinA, CosA and TanA
    36. More on Translation Property of the Graph of SinA, CosA and TanA
      297 views
      37. Maximum and Minimum Values of Certain Trigonometric Functions
    37. Maximum and Minimum Values of Certain Trigonometric Functions
      415 views
      38. Graphical Solution of Some Trigonometric Equations
    38. Graphical Solution of Some Trigonometric Equations
      527 views

    Chapter 3 Vectors ( 50 videos)  (Practice Test)

      3.1: Vectors as displacements (Practice Test)
      Scalar and Vector Quantities
    1. Scalar and Vector Quantities
      4744 views
      2. Problem-Scalar and Vector Quantities
    2. Problem-Scalar and Vector Quantities
      1988 views
      3. Terminologies and Notations of Vectors
    3. Terminologies and Notations of Vectors
      2088 views
      4. Notation for Representing Vectors in Plane
    4. Notation for Representing Vectors in Plane
      487 views
      5. Problem-Notation for Representing Vectors in Plane
    5. Problem-Notation for Representing Vectors in Plane
      345 views
      6. Properties of Vectors in Plane
    6. Properties of Vectors in Plane
      492 views
      7. More on Properties of Vectors in Plane
    7. More on Properties of Vectors in Plane
      350 views
      8. Concept of Vector in Space
    8. Concept of Vector in Space
      741 views
      9. More on Vectors in Space
    9. More on Vectors in Space
      448 views
      10. Problem-Concept of Vector in Space
    10. Problem-Concept of Vector in Space
      456 views
      11. Notation of Vectors in Space
    11. Notation of Vectors in Space
      272 views
      12. Problem-Notation of Vectors in Space
    12. Problem-Notation of Vectors in Space
      249 views
      3.2: Components of a vector (Practice Test)
      Components of a Vector
    1. Components of a Vector
      610 views
      2. Column Vectors
    2. Column Vectors
      1185 views
      3.3: Algebraic and geometric approaches (Practice Test)
      Problem-Addition of Vectors
    1. Problem-Addition of Vectors
      606 views
      2. Vector Addition is Associative
    2. Vector Addition is Associative
      539 views
      3. Problem-Vector Addition is Associative
    3. Problem-Vector Addition is Associative
      490 views
      4. Zero Vectors
    4. Zero Vectors
      884 views
      5. Subtraction of Vectors
    5. Subtraction of Vectors
      862 views
      6. Problem-Subtraction of Vectors
    6. Problem-Subtraction of Vectors
      421 views
      7. Scalar Multiple of a Vector
    7. Scalar Multiple of a Vector
      970 views
      8. Problem-Scalar Multiple of a Vector
    8. Problem-Scalar Multiple of a Vector
      486 views
      9. Problem-Properties of Magnitude of Vector
    9. Problem-Properties of Magnitude of Vector
      662 views
      10. A Unit Vector in the Direction of Another Vector
    10. A Unit Vector in the Direction of Another Vector
      633 views
      11. Problem-A Unit Vector in the Direction of Another Vector
    11. Problem-A Unit Vector in the Direction of Another Vector
      446 views
      12. Position Vectors
    12. Position Vectors
      1657 views
      13. Problem-Position Vectors
    13. Problem-Position Vectors
      540 views
      3.4: The scalar product of two vectors. (Practice Test)
      Scalar Product of Two Vectors
    1. Scalar Product of Two Vectors
      897 views
      2. Problem-Scalar Product of Two Vectors
    2. Problem-Scalar Product of Two Vectors
      435 views
      3. Properties of Scalar Product
    3. Properties of Scalar Product
      763 views
      4. More on Properties of Scalar Product
    4. More on Properties of Scalar Product
      279 views
      5. Problem-Properties of Scalar Product
    5. Problem-Properties of Scalar Product
      287 views
      6. Perpendicular Vectors
    6. Perpendicular Vectors
      305 views
      7. Problem-Perpendicular Vectors
    7. Problem-Perpendicular Vectors
      300 views
      8. Parallel Vectors
    8. Parallel Vectors
      635 views
      9. Problem-Parallel Vectors
    9. Problem-Parallel Vectors
      472 views
      10. Scalar Product of Vectors in Their Component Form
    10. Scalar Product of Vectors in Their Component Form
      302 views
      11. Problem-Scalar Product of Vectors in Their Component Form
    11. Problem-Scalar Product of Vectors in Their Component Form
      253 views
      12. Application of Scalar Product
    12. Application of Scalar Product
      518 views
      13. Problem-Application of Scalar Product
    13. Problem-Application of Scalar Product
      249 views
      14. Application of Scalar Product on Geometry
    14. Application of Scalar Product on Geometry
      318 views
      15. More on Application of Scalar Product on Geometry
    15. More on Application of Scalar Product on Geometry
      294 views
      16. Problem-Application of Scalar Product on Geometry
    16. Problem-Application of Scalar Product on Geometry
      337 views
      3.5: The angle between two vectors.
      Angle Between Two Vectors
    1. Angle Between Two Vectors
      451 views
      2. Problem-Angle Between Two Vectors
    2. Problem-Angle Between Two Vectors
      295 views
      3.6: The angle between two lines.
      Angle Between Two Lines in General Form
    1. Angle Between Two Lines in General Form
      942 views
      3.7: Coincident and parallel lines. (Practice Test)
      Introducing Parallel Lines
    1. Introducing Parallel Lines
      3272 views
      2. Problem-Introducing Parallel Lines
    2. Problem-Introducing Parallel Lines
      328 views
      3. Intersecting Lines
    3. Intersecting Lines
      200 views
      4. Relationship between Two and Three Straight Lines
    4. Relationship between Two and Three Straight Lines
      1097 views

    Chapter 4 Statistics and probability ( 192 videos)  (Practice Test)

      4.1: Introduction (Practice Test)
      Introducing Population
    1. Introducing Population
      397 views
      2. Problem-Introducing Population
    2. Problem-Introducing Population
      143 views
      3. Experiments and Sample Space
    3. Experiments and Sample Space
      1601 views
      4. Problem-Experiments and Sample Space
    4. Problem-Experiments and Sample Space
      830 views
      5. Definition of Probability
    5. Definition of Probability
      2434 views
      6. Problem-Definition of Probability
    6. Problem-Definition of Probability
      999 views
      7. Basic Terminology
    7. Basic Terminology
      1131 views
      4.2: Presentation of data (Practice Test)
      Introducing Information Handling
    1. Introducing Information Handling
      7296 views
      2. Problem-Introducing Information Handling
    2. Problem-Introducing Information Handling
      3799 views
      3. Collection and Presentation of Data
    3. Collection and Presentation of Data
      5804 views
      4. Problem-Data, its Collection and Presentation.
    4. Problem-Data, its Collection and Presentation.
      2957 views
      5. Box-and-Whisker Plots
    5. Box-and-Whisker Plots
      152 views
      4.3: Grouped data (Practice Test)
      Class Interval and Class Limits
    1. Class Interval and Class Limits
      17662 views
      2. Problem-Class Interval and Class Limits
    2. Problem-Class Interval and Class Limits
      2666 views
      3. Class Mark and Class Boundaries
    3. Class Mark and Class Boundaries
      16698 views
      4. Problem-Class Mark and Class Boundaries
    4. Problem-Class Mark and Class Boundaries
      1855 views
      5. Class Frequency
    5. Class Frequency
      1601 views
      6. Problem-Class Frequency
    6. Problem-Class Frequency
      726 views
      7. Introduction to Tabulation
    7. Introduction to Tabulation
      350 views
      8. Problem-Introduction to Tabulation
    8. Problem-Introduction to Tabulation
      40 views
      9. One Way Tabulation
    9. One Way Tabulation
      384 views
      10. Problem-One Way Tabulation
    10. Problem-One Way Tabulation
      330 views
      11. Two Way Tabulation
    11. Two Way Tabulation
      263 views
      12. Problem-Two Way Tabulation
    12. Problem-Two Way Tabulation
      106 views
      13. Frequency Distribution
    13. Frequency Distribution
      13271 views
      14. Problem-Frequency Distribution
    14. Problem-Frequency Distribution
      5188 views
      15. Construction of cumulative frequency table
    15. Construction of cumulative frequency table
      3828 views
      16. Problem-Construction of cumulative frequency table
    16. Problem-Construction of cumulative frequency table
      2101 views
      17. Constructing Frequency Distribution-Tally Method
    17. Constructing Frequency Distribution-Tally Method
      520 views
      18. Problem-Constructing Frequency Distribution-Tally Method
    18. Problem-Constructing Frequency Distribution-Tally Method
      218 views
      19. Frequency Distribution by Direct Method
    19. Frequency Distribution by Direct Method
      323 views
      20. Problem-Constructing Frequency Distribution-Direct Method
    20. Problem-Constructing Frequency Distribution-Direct Method
      80 views
      4.4: Statistical measures and their interpretations. (Practice Test)
      Measure of Location OR Central Tendency
    1. Measure of Location OR Central Tendency
      1579 views
      2. Problem-Measure of Location OR Central Tendency
    2. Problem-Measure of Location OR Central Tendency
      848 views
      3. Types of Measures of Central Tendency
    3. Types of Measures of Central Tendency
      1141 views
      4. Problem1-Types of Measures of Central Tendency
    4. Problem1-Types of Measures of Central Tendency
      435 views
      5. Problem2-Types of Measures of Central Tendency
    5. Problem2-Types of Measures of Central Tendency
      385 views
      6. Problem3-Types of Measures of Central Tendency
    6. Problem3-Types of Measures of Central Tendency
      685 views
      7. Importance of Measure of Central Tendency
    7. Importance of Measure of Central Tendency
      450 views
      8. Problem-Importance of Measure of Central Tendency
    8. Problem-Importance of Measure of Central Tendency
      167 views
      9. Arithmetic Mean of Raw Data-Direct Method
    9. Arithmetic Mean of Raw Data-Direct Method
      4101 views
      10. Problem-Arithmetic Mean of Raw Data-Direct Method
    10. Problem-Arithmetic Mean of Raw Data-Direct Method
      2575 views
      11. Arithmetic Mean for Grouped Data-Direct Method
    11. Arithmetic Mean for Grouped Data-Direct Method
      3278 views
      12. Problem-Arithmetic Mean for Grouped Data-Direct Method
    12. Problem-Arithmetic Mean for Grouped Data-Direct Method
      1833 views
      13. Arithmetic Mean for Raw Data-Short Formula
    13. Arithmetic Mean for Raw Data-Short Formula
      2147 views
      14. Problem-Arithmetic Mean for Raw Data-Short Formula
    14. Problem-Arithmetic Mean for Raw Data-Short Formula
      1339 views
      15. Arithmetic Mean for Grouped Data-Short Formula
    15. Arithmetic Mean for Grouped Data-Short Formula
      1789 views
      16. Problem-Arithmetic Mean for Grouped Data-Short Formula
    16. Problem-Arithmetic Mean for Grouped Data-Short Formula
      1098 views
      17. Finding A.M for Ungrouped Data-Coding Method
    17. Finding A.M for Ungrouped Data-Coding Method
      2164 views
      18. Problem-Finding A.M for Ungrouped Data-Coding Method
    18. Problem-Finding A.M for Ungrouped Data-Coding Method
      1304 views
      19. Finding A.M for Grouped Data-Coding Method
    19. Finding A.M for Grouped Data-Coding Method
      4957 views
      20. Problem-Finding A.M for Grouped Data-Coding Method
    20. Problem-Finding A.M for Grouped Data-Coding Method
      1123 views
      21. Median for Grouped Discrete Data
    21. Median for Grouped Discrete Data
      1478 views
      22. Problem-Median for Grouped Discrete Data
    22. Problem-Median for Grouped Discrete Data
      843 views
      23. Mode for Grouped Continuous Data
    23. Mode for Grouped Continuous Data
      723 views
      24. Harmonic Mean for Ungrouped Data
    24. Harmonic Mean for Ungrouped Data
      4409 views
      25. Problem-Harmonic Mean for ungrouped data
    25. Problem-Harmonic Mean for ungrouped data
      594 views
      26. Harmonic Mean for Grouped Data
    26. Harmonic Mean for Grouped Data
      6002 views
      27. Problem-Harmonic Mean for grouped data
    27. Problem-Harmonic Mean for grouped data
      856 views
      28. Geometric Mean for ungrouped data
    28. Geometric Mean for ungrouped data
      3757 views
      29. Geometric Mean for ungrouped data by logarithm
    29. Geometric Mean for ungrouped data by logarithm
      1652 views
      30. Problem-Geometric Mean for ungrouped data by logarithm
    30. Problem-Geometric Mean for ungrouped data by logarithm
      1053 views
      31. Geometric Mean of grouped data by logarithm
    31. Geometric Mean of grouped data by logarithm
      3863 views
      32. Problem-Geometric Mean of grouped data by logarithm
    32. Problem-Geometric Mean of grouped data by logarithm
      4951 views
      33. Calculating Weighted Mean
    33. Calculating Weighted Mean
      1424 views
      34. Problem-Calculating Weighted Mean
    34. Problem-Calculating Weighted Mean
      495 views
      35. Calculating Moving Mean
    35. Calculating Moving Mean
      548 views
      36. Problem-Calculating Moving Mean
    36. Problem-Calculating Moving Mean
      430 views
      37. Using Calculator to find Mean
    37. Using Calculator to find Mean
      25 views
      38. Median for Ungrouped Data
    38. Median for Ungrouped Data
      4878 views
      39. Problem-Median for Ungrouped Data
    39. Problem-Median for Ungrouped Data
      1934 views
      40. Median for Grouped Data
    40. Median for Grouped Data
      3057 views
      41. Problem-Median for Grouped Data
    41. Problem-Median for Grouped Data
      1735 views
      42. Mode for Ungrouped Data
    42. Mode for Ungrouped Data
      1778 views
      43. Problem-Mode for Ungrouped Data
    43. Problem-Mode for Ungrouped Data
      1130 views
      44. Mode for Grouped Data
    44. Mode for Grouped Data
      2476 views
      45. Problem-Mode for Grouped Data
    45. Problem-Mode for Grouped Data
      395 views
      46. Situations when Mean, Median and Mode are Used
    46. Situations when Mean, Median and Mode are Used
      551 views
      47. Problem-Situations when Mean, Median and Mode are Used
    47. Problem-Situations when Mean, Median and Mode are Used
      72 views
      48. Merits and Demerits of Measures of Mean
    48. Merits and Demerits of Measures of Mean
      2055 views
      49. Problem-Merits and Demerits of Measures of Mean
    49. Problem-Merits and Demerits of Measures of Mean
      788 views
      50. Merits and Demerits of Measures of Median
    50. Merits and Demerits of Measures of Median
      4771 views
      51. Problem-Merits and Demerits of Measures of Median
    51. Problem-Merits and Demerits of Measures of Median
      991 views
      52. Merits and Demerits of Measures of Mode
    52. Merits and Demerits of Measures of Mode
      4871 views
      53. Problem-Merits and Demerits of Measures of Mode
    53. Problem-Merits and Demerits of Measures of Mode
      272 views
      4.5: Quartiles, percentiles. (Practice Test)
      Median, Quartiles and Percentiles
    1. Median, Quartiles and Percentiles
      548 views
      2. Interquartile Range
    2. Interquartile Range
      187 views
      4.6: Dispersion (Practice Test)
      Concept of Dispersion
    1. Concept of Dispersion
      1415 views
      2. Problem-Concept of Dispersion
    2. Problem-Concept of Dispersion
      677 views
      3. Importance and Uses of Measures of Dispersion
    3. Importance and Uses of Measures of Dispersion
      1677 views
      4. Problem-Importance and Uses of Measures of Dispersion
    4. Problem-Importance and Uses of Measures of Dispersion
      544 views
      5. Types of Measures of Dispersion
    5. Types of Measures of Dispersion
      732 views
      6. Problem1-Types of Measures of Dispersion
    6. Problem1-Types of Measures of Dispersion
      335 views
      7. Problem2-Types of Measures of Dispersion
    7. Problem2-Types of Measures of Dispersion
      215 views
      8. Calculation of Range for Ungrouped Data
    8. Calculation of Range for Ungrouped Data
      1849 views
      9. Problem-Calculation of Range for Ungrouped Data
    9. Problem-Calculation of Range for Ungrouped Data
      869 views
      10. Calculation of Range for Grouped Data
    10. Calculation of Range for Grouped Data
      4332 views
      11. Problem-Calculation of Range for Grouped Data
    11. Problem-Calculation of Range for Grouped Data
      562 views
      12. Uses and Properties of Range
    12. Uses and Properties of Range
      220 views
      13. Problem-Uses and Properties of Range
    13. Problem-Uses and Properties of Range
      55 views
      14. Limitations or Drawbacks of Range
    14. Limitations or Drawbacks of Range
      102 views
      15. Problem-Limitations or Drawbacks of Range
    15. Problem-Limitations or Drawbacks of Range
      37 views
      16. Introduction to Variance and S.D
    16. Introduction to Variance and S.D
      1847 views
      17. Problem-Introduction to Variance and S.D
    17. Problem-Introduction to Variance and S.D
      956 views
      18. Calculation of the Variance and Standard Deviation by Direct Method
    18. Calculation of the Variance and Standard Deviation by Direct Method
      1112 views
      19. Problem-Calculation of Variance by Direct Method
    19. Problem-Calculation of Variance by Direct Method
      734 views
      20. Variance using Proper Mean Formula
    20. Variance using Proper Mean Formula
      879 views
      21. Problem-Calculation of Variance by Deviation Method
    21. Problem-Calculation of Variance by Deviation Method
      706 views
      22. Calculation of Variance by Short Cut Method
    22. Calculation of Variance by Short Cut Method
      695 views
      23. Problem-Calculation of Variance by Short Cut Method
    23. Problem-Calculation of Variance by Short Cut Method
      558 views
      24. Calculation of Standard Deviation by Short Cut Method
    24. Calculation of Standard Deviation by Short Cut Method
      3227 views
      25. Problem-Calculation of S.D by Short Cut Method
    25. Problem-Calculation of S.D by Short Cut Method
      411 views
      26. Calculating of Standard Deviation by Deviation Method
    26. Calculating of Standard Deviation by Deviation Method
      692 views
      27. Problem-Calculating of S.D by Deviation Method
    27. Problem-Calculating of S.D by Deviation Method
      419 views
      28. Calculation of Standard Deviation by Direct Method
    28. Calculation of Standard Deviation by Direct Method
      603 views
      29. Problem-Calculation of S.D by Direct Method
    29. Problem-Calculation of S.D by Direct Method
      417 views
      30. Limitations or Drawbacks of Standard Deviation
    30. Limitations or Drawbacks of Standard Deviation
      183 views
      31. Problem-Limitations or Drawbacks of Standard Deviation
    31. Problem-Limitations or Drawbacks of Standard Deviation
      81 views
      32. Uses, Properties of Standard Deviation
    32. Uses, Properties of Standard Deviation
      766 views
      33. Problem-Uses, Properties of Standard Deviation
    33. Problem-Uses, Properties of Standard Deviation
      196 views
      34. Measurement of Spread of Observations
    34. Measurement of Spread of Observations
      67 views
      35. Problem-Measurement of Spread of Observations
    35. Problem-Measurement of Spread of Observations
      58 views
      36. S.D and Variance for a Grouped Data
    36. S.D and Variance for a Grouped Data
      453 views
      37. Problem-S.D and Variance for a Grouped Data
    37. Problem-S.D and Variance for a Grouped Data
      400 views
      38. Construction of Graphs
    38. Construction of Graphs
      171 views
      39. Problem-Construction of Graphs
    39. Problem-Construction of Graphs
      66 views
      40. Mean Deviation for Ungrouped Data by Mean
    40. Mean Deviation for Ungrouped Data by Mean
      574 views
      41. Problem-Mean Deviation for Ungrouped Data by Mean
    41. Problem-Mean Deviation for Ungrouped Data by Mean
      445 views
      42. Mean Deviation for Ungrouped Data by Median
    42. Mean Deviation for Ungrouped Data by Median
      305 views
      43. Problem-Mean Deviation for Ungrouped Data by Median
    43. Problem-Mean Deviation for Ungrouped Data by Median
      278 views
      44. Mean Deviation for Ungrouped Data by Mode
    44. Mean Deviation for Ungrouped Data by Mode
      203 views
      45. Problem-Mean Deviation for Ungrouped Data by Mode
    45. Problem-Mean Deviation for Ungrouped Data by Mode
      223 views
      46. Mean Deviation for Grouped Data by Mean
    46. Mean Deviation for Grouped Data by Mean
      1175 views
      47. Problem-Mean Deviation for Grouped Data by Mean
    47. Problem-Mean Deviation for Grouped Data by Mean
      240 views
      48. Mean Deviation for Grouped Data by Median
    48. Mean Deviation for Grouped Data by Median
      1139 views
      49. Problem-Mean Deviation for Grouped Data by Median
    49. Problem-Mean Deviation for Grouped Data by Median
      185 views
      50. Calculate the Mean Deviation from the following Group Data according to Mode
    50. Calculate the Mean Deviation from the following Group Data according
      1457 views
      51. Problem-Mean Deviation for Grouped Data by Mode
    51. Problem-Mean Deviation for Grouped Data by Mode
      164 views
      4.7: Applications. (Practice Test)
      Introduction to Tabulation
    1. Introduction to Tabulation
      350 views
      2. Problem-Introduction to Tabulation
    2. Problem-Introduction to Tabulation
      40 views
      3. One Way Tabulation
    3. One Way Tabulation
      384 views
      4. Problem-One Way Tabulation
    4. Problem-One Way Tabulation
      330 views
      5. Two Way Tabulation
    5. Two Way Tabulation
      263 views
      6. Problem-Two Way Tabulation
    6. Problem-Two Way Tabulation
      106 views
      7. Frequency Distribution
    7. Frequency Distribution
      13271 views
      8. Problem-Frequency Distribution
    8. Problem-Frequency Distribution
      5188 views
      9. Construction of cumulative frequency table
    9. Construction of cumulative frequency table
      3828 views
      10. Problem-Construction of cumulative frequency table
    10. Problem-Construction of cumulative frequency table
      2101 views
      11. Constructing Frequency Distribution-Tally Method
    11. Constructing Frequency Distribution-Tally Method
      520 views
      12. Problem-Constructing Frequency Distribution-Tally Method
    12. Problem-Constructing Frequency Distribution-Tally Method
      218 views
      13. Frequency Distribution by Direct Method
    13. Frequency Distribution by Direct Method
      323 views
      14. Problem-Constructing Frequency Distribution-Direct Method
    14. Problem-Constructing Frequency Distribution-Direct Method
      80 views
      15. Introducing and Constructing Histogram
    15. Introducing and Constructing Histogram
      3765 views
      16. Problem-Introducing and Constructing Histogram
    16. Problem-Introducing and Constructing Histogram
      2156 views
      17. Introducing and Constructing Frequency Polygon
    17. Introducing and Constructing Frequency Polygon
      1731 views
      18. Problem-Introducing and Constructing Frequency Polygon
    18. Problem-Introducing and Constructing Frequency Polygon
      785 views
      19. Advantages and Disadvantages of Graphs
    19. Advantages and Disadvantages of Graphs
      893 views
      20. Problem-Advantages and Disadvantages of Graphs
    20. Problem-Advantages and Disadvantages of Graphs
      162 views
      21. Constructing discrete Frequency Table
    21. Constructing discrete Frequency Table
      6380 views
      22. Constructing histogram with unequal intervals
    22. Constructing histogram with unequal intervals
      1843 views
      23. Problem-Constructing histogram with unequal intervals
    23. Problem-Constructing histogram with unequal intervals
      792 views
      24. Drawing commulative frequency polygon or Ogive
    24. Drawing commulative frequency polygon or Ogive
      1492 views
      25. Problem-Drawing commulative frequency polygon or Ogive
    25. Problem-Drawing commulative frequency polygon or Ogive
      1057 views
      26. Introducing Graphs
    26. Introducing Graphs
      170 views
      27. Problem-Introducing Graphs
    27. Problem-Introducing Graphs
      92 views
      28. Pictograms
    28. Pictograms
      807 views
      29. Line Graphs
    29. Line Graphs
      161 views
      30. Introducing Dot Diagram
    30. Introducing Dot Diagram
      199 views
      31. Stem and Leaf Diagram
    31. Stem and Leaf Diagram
      269 views
      32. Classifying data by Graphs
    32. Classifying data by Graphs
      33. Problem-Classifying data by Graphs
    33. Problem-Classifying data by Graphs
      34. Data Representation By Simple Bar Diagram
    34. Data Representation By Simple Bar Diagram
      22825 views
      35. Problem-Data Representation By Simple Bar Diagram
    35. Problem-Data Representation By Simple Bar Diagram
      125 views
      36. Data Representation By Multiple Bar Diagram
    36. Data Representation By Multiple Bar Diagram
      4298 views
      37. Problem-Data Representation By Multiple Bar Diagram
    37. Problem-Data Representation By Multiple Bar Diagram
      40 views
      38. Data Representation By Pie Diagram
    38. Data Representation By Pie Diagram
      1922 views
      39. Problem-Data Representation By Pie Diagram
    39. Problem-Data Representation By Pie Diagram
      67 views
      4.8: The probability (Practice Test)
      Basic Terminology
    1. Basic Terminology
      1131 views
      2. Possible Outcomes in the Sample Space
    2. Possible Outcomes in the Sample Space
      890 views
      3. Problem-Possible Outcomes in the Sample Space
    3. Problem-Possible Outcomes in the Sample Space
      480 views
      4. Definition of Probability
    4. Definition of Probability
      2434 views
      5. Problem-Definition of Probability
    5. Problem-Definition of Probability
      999 views
      6. Probability and Venn Diagrams
    6. Probability and Venn Diagrams
      584 views
      7. More on Probability and Venn Diagrams
    7. More on Probability and Venn Diagrams
      506 views
      8. Problem Solving Strategies in Probability
    8. Problem Solving Strategies in Probability
      801 views
      9. Simple Combined Events and Possibility Diagrams
    9. Simple Combined Events and Possibility Diagrams
      834 views
      10. Problem-Simple Combined Events and Possibility Diagrams
    10. Problem-Simple Combined Events and Possibility Diagrams
      418 views
      11. Simple Combined Events and Tree Diagrams
    11. Simple Combined Events and Tree Diagrams
      843 views
      12. Addition of Probabilities and Mutually Exclusive Events
    12. Addition of Probabilities and Mutually Exclusive Events
      1288 views
      13. Problem-Addition of Probabilities of Mutually Exclusive Events
    13. Problem-Addition of Probabilities of Mutually Exclusive Events
      666 views
      4.9: Probablities with and without replacements
      Types of Variables
    1. Types of Variables
      1016 views
      2. Problem-Types of Variables
    2. Problem-Types of Variables
      636 views

    Chapter 5 Calculus ( 109 videos)  (Practice Test)

      5.1: Informal ideas of limit and convergence.
      Meaning of the Phrase 'x' Approaches zero, Infinity
    1. Meaning of the Phrase 'x' Approaches zero, Infinity
      2801 views
      2. Problem-Meaning of the Phrase 'x' Approaches zero, Infinity
    2. Problem-Meaning of the Phrase 'x' Approaches zero, Infinity
      1672 views
      5.2: Limit notation.
      Concept of a Limit of a Function
    1. Concept of a Limit of a Function
      4475 views
      2. Problem-Concept of Limit of a Function
    2. Problem-Concept of Limit of a Function
      2035 views
      5.3: Definition of derivative from first principles (Practice Test)
      Derivative by First Principle
    1. Derivative by First Principle
      6497 views
      2. More on Derivative by First Principle
    2. More on Derivative by First Principle
      2915 views
      3. Problem1-Derivative by First Principle
    3. Problem1-Derivative by First Principle
      3768 views
      4. Problem2-Derivative by First Principle
    4. Problem2-Derivative by First Principle
      2709 views
      5.4: Derivative as gradient function and as rate of change. (Practice Test)
      Average Rate of Change
    1. Average Rate of Change
      5517 views
      2. Derivative of a Function
    2. Derivative of a Function
      10366 views
      3. More on Derivative of a Function
    3. More on Derivative of a Function
      5075 views
      4. Notation for Derivative
    4. Notation for Derivative
      3686 views
      5. Geometrical Interpretation of a Derivative
    5. Geometrical Interpretation of a Derivative
      5746 views
      6. More on Geometrical Interpretation of Derivative
    6. More on Geometrical Interpretation of Derivative
      2818 views
      5.5: Derivative of x^n (Practice Test)
      Power Rule for Differentiation
    1. Power Rule for Differentiation
      2573 views
      2. More on Power Rule for Differentiation
    2. More on Power Rule for Differentiation
      1523 views
      3. Problem-Power Rule for Differentiation
    3. Problem-Power Rule for Differentiation
      1972 views
      4. Problem1-Power Rule for Differentiation
    4. Problem1-Power Rule for Differentiation
      1653 views
      5. Derivative of Trigonometric Functions
    5. Derivative of Trigonometric Functions
      2286 views
      6. More on Derivative of Trigonometric Functions
    6. More on Derivative of Trigonometric Functions
      1413 views
      7. More stuff on Derivative of Trigonometric Functions
    7. More stuff on Derivative of Trigonometric Functions
      1087 views
      8. Problem1-Derivative of Trigonometric Functions
    8. Problem1-Derivative of Trigonometric Functions
      1464 views
      9. Problem2-Derivative of Trigonometric Functions
    9. Problem2-Derivative of Trigonometric Functions
      930 views
      10. Problem3-Derivative of Trigonometric Functions
    10. Problem3-Derivative of Trigonometric Functions
      903 views
      11. Derivative of Exponential Functions
    11. Derivative of Exponential Functions
      1722 views
      12. Problem1-Derivative of Exponential Functions
    12. Problem1-Derivative of Exponential Functions
      1166 views
      13. Derivative of Logarithmic Functions
    13. Derivative of Logarithmic Functions
      1501 views
      14. Problem1-Derivative of Logarithmic Functions
    14. Problem1-Derivative of Logarithmic Functions
      1007 views
      15. Problem2-Derivative of Logarithmic Functions
    15. Problem2-Derivative of Logarithmic Functions
      16. Problem3-Derivative of Logarithmic Functions
    16. Problem3-Derivative of Logarithmic Functions
      17. Problem Solving-Logarithmic Functions
    17. Problem Solving-Logarithmic Functions
      1011 views
      18. Derivative of a sum or Difference of Functions
    18. Derivative of a sum or Difference of Functions
      1646 views
      19. Problem1-Derivative of a sum or Difference of Functions
    19. Problem1-Derivative of a sum or Difference of Functions
      1408 views
      5.6: The chain rule for composite functions. (Practice Test)
      Differentiation by Chain Rule
    1. Differentiation by Chain Rule
      4515 views
      2. More on Differentiation by Chain Rule
    2. More on Differentiation by Chain Rule
      1970 views
      3. Problem1-Differentiation by Chain Rule
    3. Problem1-Differentiation by Chain Rule
      1824 views
      4. Problem2a-Differentiation by Chain Rule
    4. Problem2a-Differentiation by Chain Rule
      1349 views
      5. Problem2b-Differentiation by Chain Rule
    5. Problem2b-Differentiation by Chain Rule
      5.7: The product and quotient rules. (Practice Test)
      Derivative of Product
    1. Derivative of Product
      1589 views
      2. Problem1-Derivative of Product
    2. Problem1-Derivative of Product
      1458 views
      3. Derivative of a Quotient
    3. Derivative of a Quotient
      1529 views
      4. More on Derivative of a Quotient
    4. More on Derivative of a Quotient
      1153 views
      5. Problem1b-Derivative of Quotient
    5. Problem1b-Derivative of Quotient
      1210 views
      5.8: Extension to higher derivatives. (Practice Test)
      Introducing Higher Order Differentiation
    1. Introducing Higher Order Differentiation
      1752 views
      2. Problem1-Introducing Higher Order Differentiation
    2. Problem1-Introducing Higher Order Differentiation
      1278 views
      3. Problem2-Introducing Higher Order Differentiation
    3. Problem2-Introducing Higher Order Differentiation
      906 views
      4. Problem3-Introducing Higher Order Differentiation
    4. Problem3-Introducing Higher Order Differentiation
      799 views
      5. Problem4-Introducing Higher Order Differentiation
    5. Problem4-Introducing Higher Order Differentiation
      807 views
      6. Problem5-Introducing Higher Order Differentiation
    6. Problem5-Introducing Higher Order Differentiation
      5.9: Local maximum and minimum points (Practice Test)
      Increasing and Decreasing Functions
    1. Increasing and Decreasing Functions
      3460 views
      2. More on Increasing and Decreasing Functions
    2. More on Increasing and Decreasing Functions
      2179 views
      3. Problem1-Increasing and Decreasing Functions
    3. Problem1-Increasing and Decreasing Functions
      1992 views
      4. Introducing Relative Extrema
    4. Introducing Relative Extrema
      2038 views
      5. Problem1-Introducing Relative Extrema
    5. Problem1-Introducing Relative Extrema
      1496 views
      6. Relative Maxima and Minima
    6. Relative Maxima and Minima
      2145 views
      7. Problem2-Relative Maxima and Minima
    7. Problem2-Relative Maxima and Minima
      1179 views
      5.10: Testing for maximum or minimum. (Practice Test)
      Second Derivative Test and Concavity
    1. Second Derivative Test and Concavity
      990 views
      2. More on Second Derivative Test and Concavity
    2. More on Second Derivative Test and Concavity
      719 views
      3. Problem Solving-Second Derivative Test and Concavity
    3. Problem Solving-Second Derivative Test and Concavity
      736 views
      4. Problem1a-Second Derivative and Its Applications
    4. Problem1a-Second Derivative and Its Applications
      834 views
      5. Problem1b-Second Derivative and Its Applications
    5. Problem1b-Second Derivative and Its Applications
      6. Problem2a-Second Derivative and Its Applications
    6. Problem2a-Second Derivative and Its Applications
      631 views
      7. Problem2b-Second Derivative and Its Applications
    7. Problem2b-Second Derivative and Its Applications
      8. Problem3a-Second Derivative and Its Applications
    8. Problem3a-Second Derivative and Its Applications
      628 views
      9. Problem3b-Second Derivative and Its Applications
    9. Problem3b-Second Derivative and Its Applications
      10. Point of Inflexion
    10. Point of Inflexion
      1364 views
      5.11: Applications (Practice Test)
      Differential-Application to Economics
    1. Differential-Application to Economics
      2. Differential-Application to Kinematics
    2. Differential-Application to Kinematics
      681 views
      3. Point on the Curve Closest to Given Point
    3. Point on the Curve Closest to Given Point
      1009 views
      4. More on Point on the Curve Closest to Given Point
    4. More on Point on the Curve Closest to Given Point
      5.12: Indefinite integration (Practice Test)
      Antidifferentiation and Indefinite Integral
    1. Antidifferentiation and Indefinite Integral
      9618 views
      2. Differentials of Variables
    2. Differentials of Variables
      5001 views
      3. Integral Language and Notation
    3. Integral Language and Notation
      3226 views
      4. Difference between Delta y and dy
    4. Difference between Delta y and dy
      5118 views
      5. Problem1-Difference between Delta y and dy
    5. Problem1-Difference between Delta y and dy
      2349 views
      5.13: Indefinite integral of x^n (Practice Test)
      To Integrate x Raise to Power n
    1. To Integrate x Raise to Power n
      2955 views
      2. Problem1-To Integrate x Raise to Power n
    2. Problem1-To Integrate x Raise to Power n
      1439 views
      3. Theorems on Anti-derivative
    3. Theorems on Anti-derivative
      3295 views
      5.14: Integration by substitution (Practice Test)
      Integration by Substitution
    1. Integration by Substitution
      4475 views
      2. Some Useful Substitutions in Integration
    2. Some Useful Substitutions in Integration
      2615 views
      3. More on Some Useful Substitions in Integration
    3. More on Some Useful Substitions in Integration
      1388 views
      4. Some More Useful Substitions in Integration
    4. Some More Useful Substitions in Integration
      1171 views
      5. Problem-Integration by Useful Substitution
    5. Problem-Integration by Useful Substitution
      1392 views
      6. Problem2-Some More Useful Substitions in Integration
    6. Problem2-Some More Useful Substitions in Integration
      1111 views
      7. Prolem3-Some More Useful Substitions in Integration
    7. Prolem3-Some More Useful Substitions in Integration
      885 views
      8. Prolem4-Some More Useful Substitions in Integration
    8. Prolem4-Some More Useful Substitions in Integration
      828 views
      9. Prolem5-Some More Useful Substitions in Integration
    9. Prolem5-Some More Useful Substitions in Integration
      890 views
      10. Integration by Completing Square
    10. Integration by Completing Square
      1186 views
      11. More on Integration by Completing Square
    11. More on Integration by Completing Square
      550 views
      5.15: Boundary Value Problem
      The Definite Integral
    1. The Definite Integral
      1871 views
      2. Problem1-The Definite Integral
    2. Problem1-The Definite Integral
      1431 views
      3. Problem2-The Definite Integral
    3. Problem2-The Definite Integral
      851 views
      4. Problem2a-The Definite Integral
    4. Problem2a-The Definite Integral
      735 views
      5.16: Areas under curves (Practice Test)
      Area Under the Curve
    1. Area Under the Curve
      1057 views
      2. Problem1-Area Under the Curve
    2. Problem1-Area Under the Curve
      900 views
      3. Problem2-Area Under the Curve
    3. Problem2-Area Under the Curve
      585 views
      4. More on Area Under the Curve
    4. More on Area Under the Curve
      640 views
      5. Negative Area by Definite Integral
    5. Negative Area by Definite Integral
      643 views
      6. Symmetrical Area by Integration
    6. Symmetrical Area by Integration
      542 views
      7. Area Bounded by Two Curves by Integration
    7. Area Bounded by Two Curves by Integration
      563 views
      8. To Deal with Negative and Positive Areas in Integation
    8. To Deal with Negative and Positive Areas in Integation
      482 views
      9. Area Bounded by Two Curves Above and Below x-axis
    9. Area Bounded by Two Curves Above and Below x-axis
      564 views
      5.17: Areas between curves (Practice Test)
      Application of Definite Integral
    1. Application of Definite Integral
      964 views
      2. More on Application of Definite Integral
    2. More on Application of Definite Integral
      551 views
      3. Problem1-Application of Definite Integral
    3. Problem1-Application of Definite Integral
      538 views
      4. Problem2-Application of Definite Integral
    4. Problem2-Application of Definite Integral
      437 views
      5. Problem2a-Application of Definite Integral
    5. Problem2a-Application of Definite Integral
      417 views
      6. Problem3-Application of Definite Integral
    6. Problem3-Application of Definite Integral
      435 views
      7. Problem3a-Application of Definite Integral
    7. Problem3a-Application of Definite Integral
      441 views