Find out some of the mathematics behind neural networks.
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.
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Which line graph, equations and physical processes go together?
How does the half-life of a drug affect the build up of medication in the body over time?
Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.
Look at the calculus behind the simple act of a car going over a step.
See how the motion of the simple pendulum is not-so-simple after all.
How fast would you have to throw a ball upwards so that it would never land?
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
When you change the units, do the numbers get bigger or smaller?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Get some practice using big and small numbers in chemistry.
This is the technology section of stemNRICH - Core.
A simplified account of special relativity and the twins paradox.
Explore the Lorentz force law for charges moving in different ways.
Can you work out the natural time scale for the universe?
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
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 Momentum Equation.
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.
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
Read all about electromagnetism in our interactive article.
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 physical quantities.
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. . . .
Some explanations of basic terms and some phenomena discovered by ancient astronomers
Which units would you choose best to fit these situations?
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
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
Find out how to model a battery mathematically
A look at different crystal lattice structures, and how they relate to structural properties
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Derive an equation which describes satellite dynamics.
Can you match up the entries from this table of units?
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?
Show that even a very powerful spaceship would eventually run out of overtaking power
A think about the physics of a motorbike riding upside down
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Can you arrange a set of charged particles so that none of them start to move when released from rest?
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
Where will the spaceman go when he falls through these strange planetary systems?
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.