Which line graph, equations and physical processes go together?
Invent scenarios which would give rise to these probability density functions.
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Why MUST these statistical statements probably be at least a little bit wrong?
Was it possible that this dangerous driving penalty was issued in error?
Get further into power series using the fascinating Bessel's equation.
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
See how enormously large quantities can cancel out to give a good approximation to the factorial function.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Explore the properties of matrix transformations with these 10 stimulating questions.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Here are several equations from real life. Can you work out which measurements are possible from each equation?
How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.
Look at the advanced way of viewing sin and cos through their power series.
Can you match these equations to these graphs?
Build up the concept of the Taylor series
Match the descriptions of physical processes to these differential equations.
The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
Can you find the volumes of the mathematical vessels?
How much energy has gone into warming the planet?
Which pdfs match the curves?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Work out the numerical values for these physical quantities.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Use vectors and matrices to explore the symmetries of crystals.
This problem explores the biology behind Rudolph's glowing red nose.
Get some practice using big and small numbers in chemistry.
Can you make matrices which will fix one lucky vector and crush another to zero?
Can you match the charts of these functions to the charts of their integrals?
Explore how matrices can fix vectors and vector directions.
Can you sketch these difficult curves, which have uses in mathematical modelling?
Which units would you choose best to fit these situations?
Who will be the first investor to pay off their debt?
When you change the units, do the numbers get bigger or smaller?
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
Looking at small values of functions. Motivating the existence of the Taylor expansion.
Explore the meaning of the scalar and vector cross products and see how the two are related.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Are these estimates of physical quantities accurate?
Analyse these beautiful biological images and attempt to rank them in size order.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
Find the distance of the shortest air route at an altitude of 6000 metres between London and Cape Town given the latitudes and longitudes. A simple application of scalar products of vectors.
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?