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AS/A2 Pure 1 Pure 2 |
| Rational functions: | rational functions 1 | ||
| rational functions 2 | |||
| rational functions 3 | |||
| rational functions 4 | |||
| rational functions 5 | |||
| rational functions 6 | |||
| partial fractions 1 | |||
| partial fractions 2 | |||
| partial fractions 3 | |||
| the remainder theorem | |||
| The circle | coordinate geometry of the circle | ||
| the equation of a circle | |||
| Cartesian equations | y=(x-a)/(x-b) | ||
| y2=4ax | |||
| tangent and normal | |||
| a decreasing function | |||
| Parametric equations | parametric equations of curves 1 | ||
| parametric equations of curves 2 | |||
| Lissajou curves | |||
| parametric to cartesian form | |||
| match them up | |||
| problem P3.1 | |||
| the binomial series (1 + x)n, where n is rational and -1 < x < 1. | |||
| Trig functions | differentiation of sin x, cos x, tan x | ||
| match them up | |||
| Rules of differentiation | differentiating a product | ||
| the product rule | WJEC P2 | ||
| the quotient rule | WJEC P2 | ||
| the chain rule | WJEC P2 | ||
| memorise the rules | WJEC P2 | ||
| use of dy/dx = 1/dx/dy | |||
| the gradient of ax | |||
| true or false | |||
| Applications | parametric differentiation 1 | ||
| parametric differentiation 2 | |||
| parametric differentiation 3 | |||
| implicit differentation 1 | |||
| implicit differentation 2 | |||
| simple differential equations | |||
| method match | |||
| problem P3.2 | |||
| Trig functions | integration of cos kx | ||
| integration of sin kx | |||
| integration of sin x, cos x and related functions | |||
| match them up | |||
| Methods of integration | substitution | ||
| from product rule to parts | |||
| integration by parts | |||
| using partial fractions | |||
| using trig identities | |||
| memorise the rules | |||
| true or false | |||
| Applications | area under a parametric curve | ||
| area under a trigonometric curve 1 | |||
| area under a trigonometric curve 2 | |||
| seperable differential equations | |||
| 2D geometry | types of vectors | ||
| vector addition | |||
| vector subtraction | |||
| a-b and b-a | |||
| multiplication by a scalar | |||
| magnitude of a vector | |||
| orthogonal unit vectors | |||
| vector equations of lines | |||
| Vector algebra | 2D adding and subtracting | ||
| 3D adding and subtracting | |||
| multiplication by a scalar | |||
| magnitude of a vector | |||
| distance between two points | |||
| vector equations of lines | |||
| scalar product | |||
| memorise the formulae | |||
| Test yourself | |||
| Credits | |||||
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