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. . . .
Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Ever wondered what it would be like to vaporise a diamond? Find out inside...
When a mixture of gases burn, will the volume change?
Find the equation from which to calculate the resistance of an infinite network of resistances.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
An introduction to a useful tool to check the validity of an equation.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
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 how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
See how the motion of the simple pendulum is not-so-simple after all.
How high will a ball taking a million seconds to fall travel?
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?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Can you work out the natural time scale for the universe?
How fast would you have to throw a ball upwards so that it would never land?
A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?
Explore displacement/time and velocity/time graphs with this mouse motion sensor.
Which line graph, equations and physical processes go together?
Follow in the steps of Newton and find the path that the earth follows around the sun.
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?
A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.
Read all about electromagnetism in our interactive article.
When you change the units, do the numbers get bigger or smaller?
Find out some of the mathematics behind neural networks.
Which units would you choose best to fit these situations?
Can you match up the entries from this table of units?
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 Momentum Equation.
What is an AC voltage? How much power does an AC power source supply?
A simplified account of special relativity and the twins paradox.
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?
A look at different crystal lattice structures, and how they relate to structural properties
Explore the power of aeroplanes, spaceships and horses.
A think about the physics of a motorbike riding upside down
Find out how to model a battery mathematically
Derive an equation which describes satellite dynamics.
Some explanations of basic terms and some phenomena discovered by ancient astronomers
Work out the numerical values for these physical quantities.
Can you arrange a set of charged particles so that none of them start to move when released from rest?
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Things are roughened up and friction is now added to the approximate simple pendulum
Look at the calculus behind the simple act of a car going over a step.