Advanced problems in the mathematical sciences.
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Derive an equation which describes satellite dynamics.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Find out some of the mathematics behind neural networks.
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
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Work in groups to try to create the best approximations to these
See how the motion of the simple pendulum is not-so-simple after
A look at the fluid mechanics questions that are raised by the
Investigate why the Lennard-Jones potential gives a good
approximate explanation for the behaviour of atoms at close ranges
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
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?
Explore the rates of growth of the sorts of simple polynomials
often used in mathematical modelling.
Problems which make you think about the kinetic ideas underlying
the ideal gas laws.
Where will the spaceman go when he falls through these strange planetary systems?
Show that even a very powerful spaceship would eventually run out
of overtaking power
How high will a ball taking a million seconds to fall travel?
A simplified account of special relativity and the twins paradox.
A ball whooshes down a slide and hits another ball which flies off
the slide horizontally as a projectile. How far does it go?
How fast would you have to throw a ball upwards so that it would
Can you work out the natural time scale for the universe?
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?
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.
Read all about electromagnetism in our interactive article.
Can you match up the entries from this table of units?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Which units would you choose best to fit these situations?
When you change the units, do the numbers get bigger or smaller?
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
Investigate the effects of the half-lifes of the isotopes of cobalt
on the mass of a mystery lump of the element.
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.
A look at a fluid mechanics technique called the Steady Flow
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?
This is the technology section of stemNRICH - Core.
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Some explanations of basic terms and some phenomena discovered by
A look at different crystal lattice structures, and how they relate
to structural properties
Things are roughened up and friction is now added to the
approximate simple pendulum
A think about the physics of a motorbike riding upside down
An introduction to a useful tool to check the validity of an equation.
Ever wondered what it would be like to vaporise a diamond? Find out
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