Maths Apps

Interactive tools for A-level mathematics

Pure

Trapezium rule for approximating definite integrals

See how the number of trapeziums affects the approximation, and how the curvature can affect whether we have an underestimate or an overestimate.

12 Trig Integrals

Flash cards for practising the 12 important trigonometric integrals.

Chaos in fixed-point iteration

See how varying one parameter affects the cobweb/staircase diagram for convergence.

Basins of attraction for Newton-Rapshon

See how varying the initial estimate of a root can affect the convergence of Newton-Raphson.

Statistics

Hypothesis test for the mean of a normal distribution

Fill in the gaps in these practice questions on writing hypothesis tests for the mean of a normal distribution.

The normal approximation to binomial distribution

Visualise how a binomial distribution B(n, p) is approximated by a normal distribution as n grows large.

Further Mechanics

1D collisions between 2 particles

Explore elastic and inelastic collisions between two particles in one dimension, with live calculations of velocities and momentum.

1D collisions between 2 particles and a wall

Explore multiple elastic and inelastic collisions involving two particles and a fixed wall.

Decision