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?

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

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

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

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.

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

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

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

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

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?

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

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?

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

Which units would you choose best to fit these situations?

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

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

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

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

A think about the physics of a motorbike riding upside down

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

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

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

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

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

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

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

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

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

Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms

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

Work out the numerical values for these physical quantities.

Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging

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. . . .