Are these statistical statements sometimes, always or never true? Or it is impossible to say?
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
Explore the properties of matrix transformations with these 10 stimulating questions.
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Which units would you choose best to fit these situations?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
When you change the units, do the numbers get bigger or smaller?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
How much energy has gone into warming the planet?
Which pdfs match the curves?
Who will be the first investor to pay off their debt?
Here are several equations from real life. Can you work out which measurements are possible from each equation?
How do you choose your planting levels to minimise the total loss at harvest time?
Get further into power series using the fascinating Bessel's equation.
Explore how matrices can fix vectors and vector directions.
Was it possible that this dangerous driving penalty was issued in error?
Which line graph, equations and physical processes go together?
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
Invent scenarios which would give rise to these probability density functions.
Use vectors and matrices to explore the symmetries of crystals.
This problem explores the biology behind Rudolph's glowing red nose.
Can you make matrices which will fix one lucky vector and crush another to zero?
Looking at small values of functions. Motivating the existence of the Taylor expansion.
See how enormously large quantities can cancel out to give a good approximation to the factorial function.
Look at the advanced way of viewing sin and cos through their power series.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Build up the concept of the Taylor series
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Match the descriptions of physical processes to these differential equations.
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Which of these infinitely deep vessels will eventually full up?
Work out the numerical values for these physical quantities.
Explore the shape of a square after it is transformed by the action of a matrix.
Explore the meaning of the scalar and vector cross products and see how the two are related.
Can you find the volumes of the mathematical vessels?
Why MUST these statistical statements probably be at least a little bit wrong?
Can you sketch these difficult curves, which have uses in mathematical modelling?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Analyse these beautiful biological images and attempt to rank them in size order.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
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?
Get some practice using big and small numbers in chemistry.
Can you match the charts of these functions to the charts of their integrals?
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Are these estimates of physical quantities accurate?
Go on a vector walk and determine which points on the walk are closest to the origin.
How would you go about estimating populations of dolphins?