Pure Mathematics - Class XI Resources

The following list of online resources are provided as a sample of curated resources. New resources shall be added as we come across interesting and relevant online materials.

1. Determinants

Description: A video contains introduction to determinants.

Core Concepts: 11P-A1 Determinants.

Link: Video on determinants of matrix

2. Determinants of Order 2

Description: A video contains determinants of order 2.

Core Concepts: 11P-A1 Determinants of order 2.

Link: Video on determinants order 2

3. Determinants of Order 3

Description: A video contains determinants of order 3.

Core Concepts: 11P-A1Determinants of order 3.

Link: Video on determinants order 3

4. Minors & Cofactors of Order 2

Description: A video contains minors and co-factor of order 2.

Core Concepts: 11P-A1 co-factors & minors.

Link: Video on determinants of minors and cofactors order 2

5. Minors & Cofactors of Order 3

Description: A video contains minors and co-factor of order 3.

Core Concepts: 11P-A1 Co-factors & minors.

Link: Video on determinants of minors and cofactors order 3

6. Cramer’s Rule

Description: A video contains Cramer’s rule: step by step method.

Core Concepts: 11P-A1 Cramer’s rule.

Link: Video on how to solve system of equation

7. Cramer’s Rule

Description: The web link contains worksheets contains Cramer’s rule worksheet.

Core Concepts: 11P-A1 Cramer’s rule.

Link: PDF on Cramer's rule

8. Determinants of Order 2

Description: The web link contains a worksheet on determinants of order 2.

Core Concepts: 11P-A1 Determinants.

Link: PDF on determinants

9. Determinants of Order 3

Description: The web link contains a worksheet on determinants of order 3.

Core Concepts: 11P-A1 Determinants.

Link: PDF on determinants

10. Minors & Co-factors

Description: A video contains minors and co-factor.

Core Concepts: 11P-A1 Minors & co-factors.

Link: Video on minors and cofactors

11. Logarithm

Description: The web link contains a worksheet on exponent.

Core Concepts: 11P-A2 Law of exponent.

Link: Webpage on logarithm

12. Logarithm

Description: The web link contains the definition on logarithm.

Core Concepts: 11P-A2 Definition of logarithm.

Link: Webpage on logarithm

13. Logarithm

Description: The web link contains the laws and theorem on logarithm.

Core Concepts: 11P-A2 Laws of logarithms.

Link: Video on logarithm

14. Logarithm

Description: The video link contains evaluating logarithm.

Core Concepts: 11P-A2 Evaluating logarithm.

Link: Video on solving logarithmic equations

15. Logarithm

Description: The weblink contains the application of logarithmic in reality.

Core Concepts: 11P-A2 Application of logarithm.

Link: Video on solving logarithm

16. Binomial Theorem

Description: The link guides on binomial expansion.

Core Concepts: 11P-A3 Binomial expansion.

Link: Video on binomial theorem

17. Binomial Theorem

Description: The link explains the Pascal’s triangle.

Core Concepts: 11P-A3 Pascal’s triangle.

Link: Video on Pascal's Triangle and binomial theorem

18. Binomial Theorem

Description: The web link contains the properties of binomial theorem.

Core Concepts: 11P-A3 Properties of binomial theorem.

Link: Video on binomial theorem properties

19. Binomial Theorem

Description: The web link contains the demonstration on binomial expansion.

Core Concepts: 11P-A3 Binomial expansion.

Link: Webpage on binomial theorem

20. Binomial Theorem

Description: The web link contains the finding of general term.

Core Concepts: 11P-A3 General term.

Link: Video on how to find general term of a binomial theorem

21. Complex Numbers

Description: The web link contains notes and a video on complex numbers.

Core Concepts: 11P-A4 Complex numbers.

Link: Video on complex numbers

22. Complex Numbers

Description: A video contains an introduction to complex numbers.

Core Concepts: 11P-A4 Complex numbers.

Link: Video on basics of complex numbers

23. Solving Complex Numbers

Description: A video contains how to solve an equation involving complex numbers.

Core Concepts: 11P-A4 Complex numbers.

Link: Video on solving equations involving complex numbers

24. Solving Complex Numbers

Description: A video contains how to solve an equation involving complex numbers.

Core Concepts: 11P-A4 Complex numbers.

Link: Video on solving complex equation

25. Conjugate Numbers

Description: A video contains on conjugate numbers.

Core Concepts: 11P-A4 conjugate numbers.

Link: Video on conjugate numbers

26. Factorisation

Description: A video contains factorisation of a quadratic equation.

Core Concepts: 11P-B1 Factorisation.

Link: Video on remainder and factor theorem

27. Factor Theorem

Description: The web link contains worksheet on factor theorem.

Core Concepts: 11P-B1 Factor theorem.

Link: Webpage on factor theorem

28. Remainder Theorem

Description: A video contains the factor and remainder theorem of cubic polynomials.

Core Concepts: 11P-B1 Remainder theorem.

Link: Video on factor and remainder theorem

29. Remainder Theorem

Description: A worksheet contains finding remainder of cubic polynomials.

Core Concepts: 11P-B1 Remainder theorem.

Link: Webpage on remainder theorem

30. Factor Theorem

Description: A video explains how to solve quadratic equations using factor Theorem.

Core Concepts: 11P-B1 Factor theorem.

Link: Video on remainder and factor theorem

31. Factor Theorem

Description: A video explains how to solve quadratic equations using factor Theorem.

Core Concepts: 11P-B1 Factor Theorem.

Link: Video on factor and remainder theorem

32. Factorisation

Description: A video explains how to solve quadratic equations using a factorisation.

Core Concepts: 11P-B2 Factorisation.

Link: Video on solution of a quadratic equation

33. Factorisation

Description: A web link contains the worksheets on factorisation.

Core Concepts: 11P-B2 Factorisation.

Link: PDF on factorisation

34. Formula Method

Description: A video explains how to solve quadratic equations using a formula method.

Core Concepts: 11P-B2 Formula method.

Link: Video on formula method

35. Formula Method

Description: A video explains how to solve quadratic equations using a formula method.

Core Concepts: 11P-B2 Formula method.

Link: Video on quadratic equation

36. Quadratic Equation

Description: The web link contains the GeoGebra spreadsheet to explore the characteristics of different forms of quadratic function.

Core Concepts: 11P-B2 Quadratic equation.

Link: Webpage on quadratic equation

37. Nature of Roots

Description: A video explains the nature of roots.

Core Concepts: 11P-B1 Nature of roots.

Link: Video on nature of roots

38. Partial Fraction

Description: The web links contain the interpretation of partial fraction.

Core Concepts: 11P-B3 Meaning of partial fraction.

Link: Webpage on partial fraction

39. Partial Fraction

Description: The web links contain the demonstration of decomposition of partial fraction.

Core Concepts: 11P-B3 Decomposition of partial fraction.

Links:

40. Limit

Description: The web links contain the explanation of meaning of limit.

Core Concepts: 11P-B4 Meaning of limit.

Link: Webpage on limit

41. Limit

Description: The web links contain the meaning of left hand limit and right hand limit and its computation.

Core Concepts: 11P-B4 Left and right limit.

Link: Webpage on limit

42. Limit

Description: The web links contain theorems on limits.

Core Concepts: 11P-B4 Theorems on limits.

Link: Video on limit theorem

43. Limit

Description: The following web links contain various method of evaluating algebraic limits.

Core Concepts: 11P-B4 Evaluating algebraic limit.

Links:

44. Limit

Description: The web link contains a video on evaluating trigonometric limits.

Core Concepts: 11P-B4 Evaluating trigonometric limit.

Link: Video on trigonometric limits

45. Continuous Function

Description: A video contains a continuous function.

Core Concepts: 11P-B5 Continuous function.

Link: Video on continuous function

46. Test continuity of Function

Description: A video contains test continuity of function.

Core Concepts: 11P-B5 Test continuity of function.

Link: Video on test continuity of function

47. Removable Continuity

Description: A video contains removable continuity.

Core Concepts: 11P-B5 Removable Continuity.

Link: Video on removable discontinuity

48. Continuity Over an Interval

Description: A video contains continuity over an interval.

Core Concepts: 11P-B5 Removable Continuity.

Link: Video on continuity on an interval

49. Test Continuity of Function

Description: The web link contains a worksheet on test continuity of function.

Core Concepts: 11P-B5 Test continuity of function.

Link: Webpage on test continuity of function

50. Continuous Function

Description: The web link contains questions on continuous functions in pdf.

Core Concepts: 11P-B5 Continuous function.

Link: PDF on continuous function

51. Test Continuity of Function

Description: A video contains use of graph to test continuity.

Core Concepts: 11P-B5 Test continuity of function.

Links:

52. Continuity & Discontinuity of Function

Description: The web link provide multiple choice questions on continuity and discontinuity of function.

Core Concepts: 11P-B5 Continuity & discontinuity of function.

Link: Webpage on continuity and discontinuity of function

53. Differentiation

Description: A video contains a history on calculus.

Core Concepts: 11P-B6 Differentiation.

Link: Video on history of calculus

54. Differentiation

Description: This web link contains a GeoGebra spreadsheet to introduce differentiation.

Core Concepts: 11P-B6 Differentiation.

Link: Webpage on differentiation

55. First Principle of Differentiation

Description: This video contains on how to differentiate using a first principle.

Core Concepts: 11P-B6 First Principle.

Link: Video on how to get derivatives

56. Differentiation - Product Rule

Description: This video contains how to differentiate using a product rule.

Core Concepts: 11P-B6 Product rule.

Link: Video on product rule

57. Differentiation - Quotient Rule

Description: This video contains how to differentiate using a quotient rule.

Core Concepts: 11P-B6 Quotient rule.

Link: Video on quotient rule

58. Differentiate T-Function

Description: A video contains how to differentiate t-function.

Core Concepts: 11P-B6 Differentiate t-functions.

Link: Video on derivatives of trigonometric

59. Derivatives Application

Description: A video contains application of derivatives.

Core Concepts: 11P-B6 Derivatives application.

Link: Video on application of derivatives

60. Derivatives Application

Description: A video contains application of derivatives.

Core Concepts: 11P-B6 Derivatives application.

Link: Video on application of derivatives

61. Derivatives Application

Description: A video contains application of derivatives.

Core Concepts: 11P-B6 Derivatives application.

Link: Video on application of derivatives

62. Integration

Description: The web link contains the meaning of integration.

Core Concepts: 11P-B7 Meaning of integration.

Links:

63. Integration

Description: The link contains the evaluation of integration.

Core Concepts: 11P-B7 Evaluation of integration.

Link: Video on integrating by rationalizing

64. Integration

Description: The link contain video on computing integration by substitution.

Core Concepts: 11P-B7 Integration by substitution.

Link: Video on integration using the substitution

65. Addition & Subtraction Formula

Description: This video shows the addition formula and subtraction formula.

Core Concepts: 11P-C1 Addition & subtraction formula.

Link: Video on pre-calculus

66. Addition & Subtraction Formula

Description: A video contains the derivation of a sum and subtraction formula.

Core Concepts: 11P-C1 Addition & subtraction formula.

Link: Video on trigonometric identities

67. Addition & Subtraction Formula

Description: This video contains problem solving using addition and subtraction formula.

Core Concepts: 11P-C1 Addition & subtraction formula.

Link: Video on ways to use addition or subtraction formula

68. Product Formula

Description: This video provides the understanding on converting a product into sum or difference and vice-versa.

Core Concepts: 11P-C1 Product formula.

Link: Webpage on product formula

69. Double Angle Formula

Description: This video contains a concept on a double formula.

Core Concepts: 11P-C1 Double angle.

Link: Video on how to use double angle formula

70. Half Angle Formula

Description: This video contains concept on half formula.

Core Concepts: 11P-C1 Half angle.

Link: Video on how to use half angle formula

71. Triple Angle Formula

Description: This formula derive triple angle formula.

Core Concepts: 11P-C1 Triple angle.

Link: Webpage on triple angle formula

72. Compound Angle

Description: This web link provides solved examples on compound angle.

Core Concepts: 11P-C1 Compound angle.

Link: Webpage on compound angle

73. Compound Angle

Description: Points and their co-ordinates in 2D.

Core Concepts: 11P-D1 Cartesian co-ordinates.

Link: Video on what is the cartesian coordinate system

74. Distance Formula

Description: This video contains how to find distance between the points and distance of a point from the origin using distance formula.

Core Concepts: 11P-D1 Distance formula.

Link: Video on what is the distance formula

75. Distance Formula

Description: This web link contains a practice question in Khan Academy.

Core Concepts: 11P-D1 Distance formula.

Link: Webpage on distance formula

76. Section Formula

Description: This web link contains a section formula.

Core Concepts: 11P-D1 Section formula.

Link: Webpage on section formula

77. Internal Section Formula

Description: This video contains derivation of internal section formula.

Core Concepts: 11P-D1 Internal section formula.

Link: Video on what is the section formula for internal division

78. Internal Section Formula

Description: This web link contains solved examples of internal section formula.

Core Concepts: 11P-D1 Internal section formula.

Link: Webpage on internal section formula

79. External Section Formula

Description: This video contains solved examples of External section formula.

Core Concepts: 11P-D1 External section formula.

Link: Video on external section formula

80. Centroid of Triangle

Description: This video explains how to find the coordinates of the centroid of the triangle.

Core Concepts: 11P-D1 Centroid of triangle.

Link: Video on co-ordinate geometry

81. Area of Triangle

Description: This video is on how to calculate the area of a triangle.

Core Concepts: 11P-D1 Area of triangle.

Link: Video on to find the area of a triangle with three vertices

82. Area of Triangle

Description: Area of quadrilateral.

Core Concepts: 11P-D1 Area of quadrilateral.

Link: Video on to find area of quadrilateral

83. Slope Intercept Form

Description: This web link contains a video on equation of line in slope intercept form.

Core Concepts: 11P-D2 Slope intercept form.

Link: Video on slop intercept form

84. Point Slope Form

Description: This web link contains a video on the equation of line in point slope form.

Core Concepts: 11P-D2 Point slope form.

Link: Video on how to find the point slope form of a line

85. Two Points Form

Description: This web link contains a video on the equation of line in two points form.

Core Concepts: 11P-D2 Two points form.

Link: Video on to find equation of a line

86. Normal Form

Description: This web link contains notes on the equation of line in normal form with solved examples.

Core Concepts: 11P-D2 Normal form.

Link: Webpage on normal form

87. Intercept Form

Description: This web link contains notes on the equation of line in intercept form with solved examples.

Core Concepts: 11P-D2 Intercept form.

Link: Webpage on intercept form

88. Distance of a Point from a Line

Description: This web link contains problem solving on distance between two points.

Core Concepts: 11P-D2 Distance of a point from line.

Link: Video on to find distance from point to line

89. Distance of a Point from a Line

Description: This web link contains practice questions on distance of a point from a line.

Core Concepts: 11P-D2 Distance of a point from a line.

Link: PDF on distance of a point from a line

90. Distance Between Parallel Lines

Description: This web link contains derivation of distance between parallel lines and problem solving.

Core Concepts: 11P-D2 Distance between parallel line.

Link: Video on distance between parallel lines

91. Angular Bisector

Description: This web link contains a derivation of angular bisector and problem solving.

Core Concepts: 11P-D2 Angular bisector.

Link: Video on angular bisector

92. Equation of Circle

Description: A video contains derivation on standard from.

Core Concepts: 11P- D3 Equation of circle.

Link: Video on standard equation of circle

93. Equation of Circle

Description: A video contains derivation on standard from.

Core Concepts: 11P- D3 Equation of circle.

Link: Video on equation of circle in diametric form

94. Equation of Circle

Description: A video contains derivations on various forms of the equation of circle.

Core Concepts: 11P- D3 Equation of circle.

Link: Video on different forms of equation of circle

95. Equation of Circle

Description: A video contains derivations of the equation of circle in parametric form.

Core Concepts: 11P- D3 Equation of circle.

Link: Video on parametric form of equation of circle