Look at the calculus behind the simple act of a car going over a step.
Find out some of the mathematics behind neural networks.
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
How high will a ball taking a million seconds to fall travel?
See how the motion of the simple pendulum is not-so-simple after all.
Gravity on the Moon is about 1/6th that on the Earth. A pole-vaulter 2 metres tall can clear a 5 metres pole on the Earth. How high a pole could he clear on the Moon?
Find out how to model a battery mathematically
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. . . .
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 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?
Which line graph, equations and physical processes go together?
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. . . .
An introduction to a useful tool to check the validity of an equation.
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
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?
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
Follow in the steps of Newton and find the path that the earth follows around the sun.
Can you work out the natural time scale for the universe?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Where will the spaceman go when he falls through these strange planetary systems?
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.
Explore the Lorentz force law for charges moving in different ways.
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
Read all about electromagnetism in our interactive article.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT
Work in groups to try to create the best approximations to these physical quantities.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Derive an equation which describes satellite dynamics.
Can you match up the entries from this table of units?
Show that even a very powerful spaceship would eventually run out of overtaking power
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Explore the power of aeroplanes, spaceships and horses.
Things are roughened up and friction is now added to the approximate simple pendulum
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.
When a mixture of gases burn, will the volume change?
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
A think about the physics of a motorbike riding upside down
A look at different crystal lattice structures, and how they relate to structural properties
How fast would you have to throw a ball upwards so that it would never land?
Ever wondered what it would be like to vaporise a diamond? Find out inside...
Which units would you choose best to fit these situations?
Get some practice using big and small numbers in chemistry.