Find out some of the mathematics behind neural networks.
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
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.
When you change the units, do the numbers get bigger or smaller?
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?
Can you work out the natural time scale for the universe?
See how the motion of the simple pendulum is not-so-simple after all.
Explore the Lorentz force law for charges moving in different ways.
Derive an equation which describes satellite dynamics.
Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.
What is an AC voltage? How much power does an AC power source supply?
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
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'.
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.
A look at different crystal lattice structures, and how they relate to structural properties
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
Which units would you choose best to fit these situations?
Things are roughened up and friction is now added to the approximate simple pendulum
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.
How does the half-life of a drug affect the build up of medication in the body over time?
Work out the numerical values for these physical quantities.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
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?
Some explanations of basic terms and some phenomena discovered by ancient astronomers
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
Ever wondered what it would be like to vaporise a diamond? Find out inside...
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
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?
Can you match up the entries from this table of units?
Follow in the steps of Newton and find the path that the earth follows around the sun.
Work in groups to try to create the best approximations to these physical quantities.
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
A simplified account of special relativity and the twins paradox.
A think about the physics of a motorbike riding upside down
Find out how to model a battery mathematically
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. . . .
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
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?