This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

Look at the calculus behind the simple act of a car going over a step.

Which line graph, equations and physical processes go together?

A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.

Work in groups to try to create the best approximations to these physical quantities.

PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

chemNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of chemistry, designed to help develop the mathematics required to get the most from your study. . . .

Get some practice using big and small numbers in chemistry.

How fast would you have to throw a ball upwards so that it would never land?

See how the motion of the simple pendulum is not-so-simple after all.

engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

How does the half-life of a drug affect the build up of medication in the body over time?

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

Which units would you choose best to fit these situations?

When you change the units, do the numbers get bigger or smaller?

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

Can you work out the natural time scale for the universe?

How high will a ball taking a million seconds to fall travel?

A look at different crystal lattice structures, and how they relate to structural properties

Show that even a very powerful spaceship would eventually run out of overtaking power

Some explanations of basic terms and some phenomena discovered by ancient astronomers

Problems which make you think about the kinetic ideas underlying the ideal gas laws.

Where will the spaceman go when he falls through these strange planetary systems?

Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.

A look at a fluid mechanics technique called the Steady Flow Momentum Equation.

What is an AC voltage? How much power does an AC power source supply?

Explore the Lorentz force law for charges moving in different ways.

Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.

Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges

Investigate some of the issues raised by Geiger and Marsden's famous scattering experiment in which they fired alpha particles at a sheet of gold.

A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?

An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.

Can you arrange a set of charged particles so that none of them start to move when released from rest?

Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991

An article about the kind of maths a first year undergraduate in physics, engineering and other physical sciences courses might encounter. The aim is to highlight the link between particular maths. . . .

Work out the numerical values for these physical quantities.

A think about the physics of a motorbike riding upside down