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
Get further into power series using the fascinating Bessel's equation.
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Which line graph, equations and physical processes go together?
See how enormously large quantities can cancel out to give a good approximation to the factorial function.
Match the descriptions of physical processes to these differential equations.
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?
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
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.
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Which of these infinitely deep vessels will eventually full up?
Explore how matrices can fix vectors and vector directions.
How much energy has gone into warming the planet?
Why MUST these statistical statements probably be at least a little bit wrong?
Invent scenarios which would give rise to these probability density functions.
Look at the advanced way of viewing sin and cos through their power series.
Can you make matrices which will fix one lucky vector and crush another to zero?
This problem explores the biology behind Rudolph's glowing red nose.
Looking at small values of functions. Motivating the existence of the Taylor expansion.
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 possibilities for reaction rates versus concentrations with this non-linear differential equation
Build up the concept of the Taylor series
Explore the properties of matrix transformations with these 10 stimulating questions.
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
Use vectors and matrices to explore the symmetries of crystals.
Explore the shape of a square after it is transformed by the action of a matrix.
Work out the numerical values for these physical quantities.
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 pdfs match the curves?
Can you find the volumes of the mathematical vessels?
Go on a vector walk and determine which points on the walk are closest to the origin.
Explore the meaning of the scalar and vector cross products and see how the two are related.
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
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?
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?
How would you go about estimating populations of dolphins?
Can you sketch these difficult curves, which have uses in mathematical modelling?
Get some practice using big and small numbers in chemistry.
Are these estimates of physical quantities accurate?
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Who will be the first investor to pay off their debt?
Can you match the charts of these functions to the charts of their integrals?
Analyse these beautiful biological images and attempt to rank them in size order.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
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.