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 \(\vec {AC} + \vec {BC} = \vec {AB}\)