Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
Get further into power series using the fascinating Bessel's equation.
Use vectors and matrices to explore the symmetries of crystals.
Match the descriptions of physical processes to these differential equations.
How much energy has gone into warming the planet?
Can you find the volumes of the mathematical vessels?
Was it possible that this dangerous driving penalty was issued in error?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
How would you go about estimating populations of dolphins?
See how enormously large quantities can cancel out to give a good approximation to the factorial function.
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Can you make matrices which will fix one lucky vector and crush another to zero?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Who will be the first investor to pay off their debt?
Which of these infinitely deep vessels will eventually full up?
Look at the advanced way of viewing sin and cos through their power series.
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
Go on a vector walk and determine which points on the walk are closest to the origin.
Formulate and investigate a simple mathematical model for the design of a table mat.
Why MUST these statistical statements probably be at least a little bit wrong?
Which dilutions can you make using only 10ml pipettes?
Which line graph, equations and physical processes go together?
Work out the numerical values for these physical quantities.
Looking at small values of functions. Motivating the existence of the Taylor expansion.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Can you sketch these difficult curves, which have uses in mathematical modelling?
Get some practice using big and small numbers in chemistry.
Explore the shape of a square after it is transformed by the action of a matrix.
Invent scenarios which would give rise to these probability density functions.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Explore the meaning of the scalar and vector cross products and see how the two are related.
Explore how matrices can fix vectors and vector directions.
Explore the properties of matrix transformations with these 10 stimulating questions.
Which pdfs match the curves?
Explore the properties of perspective drawing.
Build up the concept of the Taylor series
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Are these estimates of physical quantities accurate?
When you change the units, do the numbers get bigger or smaller?
Which units would you choose best to fit these situations?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
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?