AS Maths
Differentiation and Integration
Probability
Perms
Box Method
Combinations
Complex Probability Trees
Chain Rule
Points on graph
Local Maximum/Minimum
Point of Inflection
Stationary Point
Volume of Solids of Revolution
Area under a function
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Vectors
Vector Intercepts
Vector Equations
Normal to line
Binomial
Number
Measures of Average
Measures of Spread
Types of Numbers
Sequences
Arithmetic
a,a+d,a+2d,a+3d,...
The value of a given point \(t_n=a+(n-1)d\)
Sum of a given set of points \(S_n=\frac{1}{2}*n*(t_1+t_n)\) Where \(t_1\) is the value of the first term, and \(t_n\) is the value of the nth term
Geometric
\(a,ar,ar^2,ar^3,...\)
The value of a given point \(t_n=ar^{n-1}\)
The sum of all the given points in a set, \(S_n=\frac{a(a-r^n)}{1-r}\) so long as \(r \neq 1\). If \(r=1\) then just use \(S_n=na\)
Probability Distribution
Distributions
Expansions
Expected Values
Conditional Probability
The Normal Distribution
Geometry
Coordinate Geometry
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Parabola Geometry
Trigonometry
Radians
There are \(2\pi\) radians in a circle
Algebra
Quadratics
The Discriminant
Binomial Expansion (See probability)
Statistics
Calculus
Pure Math
Bar Graphs
Whisker Plots
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Core
Identities
\(tan\theta=\frac{sin\theta}{cos\theta}\)
A Vector is a quantity with length (magnitude) and direction
Use Upper case letter for points
In writing vectors can be displayed like \(\xrightarrow[AB]{}\) or \(\xrightarrow[]{AB}\) or AB with a squiggle underneath or \(\vec {AB}\)
A Basic Truth is important. \(\vec {AB} + \vec {BC} = \vec {AC}\) and \(\vec {AC} + \vec {BC} = \vec {AB}\)