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

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

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

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

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

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

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. . . .

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

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

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

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

Which line graph, equations and physical processes go together?

Explore the power of aeroplanes, spaceships and horses.

Which units would you choose best to fit these situations?

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

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

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

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

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

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

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

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

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

Get some practice using big and small numbers in chemistry.

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.

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

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

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

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

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

A think about the physics of a motorbike riding upside down

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

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

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.

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

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

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

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

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

This is the technology section of stemNRICH - Core.

Follow in the steps of Newton and find the path that the earth follows around the sun.

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

Derive an equation which describes satellite dynamics.