Pure Statistics

Proof Sequences Rational functions Numerical methods The normal distribution

Pure

Proof

Proof by contradiction

Sequences

Arithmetic sequences The sum of an arithmetic series Geometric sequences The sum of a geometric series

Rational functions

Multiplying and dividing rational functions Adding and subtracting rational functions Partial fractions: case 1 Partial fractions: case 2 Partial fractions: case 3 The binomial expansion extended: introduction The binomial expansion extended: next level The binomial expansion extended: the return of partial fractions

Numerical methods

The sign-change rule Finding roots using fixed point iteration The Newton-Raphson method The trapezium rule The rectangle approximation

Statistics

The normal distribution

The standard normal distribution The standard inverse normal distribution Non-standard normal distributions, and modelling Calculating the mean and/or variance