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I. Numbers (1)
(34)
1. Surds
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II. Quadratic functions
(235)
2. Quadratic functions, graphs
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VI. Differentiation (1)
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30. Finding gradients, tangents and normals
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84. Volumes of revolution
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90. Rational functions
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93. Equations of curves
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94. Parametric equations of curves
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XXIII. Sequences and series
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95. Binomial series
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96. Expansion of rational functions
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XXIV. Trigonometry (3)
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97. Trigonometric functions of the sum and difference of angles (1)
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98. Trigonometric functions of the sum and difference of angles (2)
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99. Double-angle formulas
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XXV. Exponentials and logarithms
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100. Exponential growth and decay
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101. Differential equations
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102. Equations with separable variables
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103. Implicit differentiation
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104. Parametric differentiation
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105. Tangents and normals for implicitly or parametrically defined curves
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106. Integration using partial fractions
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XXVII. Vectors
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107. Vectors
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108. Algebraic operations on vectors
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109. Position vectors
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110. Vector equations of lines in 2-D
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112. The scalar product (1)
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113. The scalar product (2)
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114. Perpendicular distance from a point to a line
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Resources: 1 – 25 Total: 29
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A fraction and its decomposition
Student activity
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A fraction and its decomposition
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Arbitrary denominator
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Arbitrary denominators
Student activity
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Completing the decomposition
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Decomposing a rational expression into partial fractions
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Decomposing an expression with a polynomial in the denominator
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Decomposing by factorising the denominator
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Decomposing rational expressions
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Decomposing rational expressions into partial fractions
Student activity
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Decomposition of a rational expression
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Decomposition of a rational expression with an arbitrary denominator
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Decomposition of a simple rational expression
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Decomposition of rational expressions
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Improper rational expressions
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Improper rational expressions
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Is decomposition always possible?
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Miscellaneous exercises
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Partial fractions
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Partial fractions
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Partial fractions
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Partial fractions
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Partial fractions of the decomposition of a rational expression
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Polynomial in the numerator
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Rational expressions and their decomposition
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Resources: 1 – 25 Total: 29
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