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

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

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.

Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT

Ever wondered what it would be like to vaporise a diamond? Find out inside...

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

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

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

An introduction to a useful tool to check the validity of an equation.

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

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

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

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

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

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

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

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

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

Get some practice using big and small numbers in chemistry.

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

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

Work out the numerical values for these physical quantities.

Which units would you choose best to fit these situations?

Explore the power of aeroplanes, spaceships and horses.

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

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

Which line graph, equations and physical processes go together?

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

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

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

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

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

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

Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

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

Things are roughened up and friction is now added to the approximate simple pendulum

Can you match up the entries from this table of units?

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

Derive an equation which describes satellite dynamics.

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. . . .

A think about the physics of a motorbike riding upside down

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

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

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