Several graphs of the sort occurring commonly in biology are given.
How many processes can you map to each graph?
See how differential equations might be used to make a realistic
model of a system containing predators and their prey.
Second in our series of problems on population dynamics for advanced students.
An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.
First in our series of problems on population dynamics for advanced students.
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Third in our series of problems on population dynamics for advanced students.
Fourth in our series of problems on population dynamics for advanced students.
Sixth in our series of problems on population dynamics for advanced students.
Fifth in our series of problems on population dynamics for advanced students.
Use the interactivity to practise your skills with concentrations
Can you break down this conversion process into logical steps?
Use combinatoric probabilities to work out the probability that you
are genetically unique!
This problem opens a major sequence of activities on the mathematics of population dynamics for advanced students.
Scientists often require solutions which are diluted to a
particular concentration. In this problem, you can explore the
mathematics of simple dilutions
A brief introduction to PCR and restriction mapping, with relevant
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Dip your toe into the fascinating topic of genetics. From Mendel's
theories to some cutting edge experimental techniques, this article
gives an insight into some of the processes underlying. . . .
How would you massage the data in this Chi-squared test to both
accept and reject the hypothesis?
Can you work out the parentage of the ancient hero Gilgamesh?
Advanced problems in the mathematical sciences.
STEM students at university often encounter mathematical
difficulties. This articles highlights the 8 key problems for
How efficiently can various flat shapes be fitted together?
Can you fill in the mixed up numbers in this dilution calculation?
Find out some of the mathematics behind neural networks.
Which dilutions can you make using 10ml pipettes and 100ml
bioNRICH is the area of the stemNRICH site devoted to the
mathematics underlying the study of the biological sciences,
designed to help develop the mathematics required to get the most
from your. . . .
Test your skills at this light-absorbance calculation.
What 3D shapes occur in nature. How efficiently can you pack these shapes together?
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Investigate the mathematics behind blood buffers and derive the
form of a titration curve.
In this question we push the pH formula to its theoretical limits.
At what temperature is the pH of water exactly 7?
Which exact dilution ratios can you make using only 2 dilutions?
Use the logarithm to work out these pH values
Can you work out how to produce the right amount of chemical in a
How does the half-life of a drug affect the build up of medication
in the body over time?
Which line graph, equations and physical processes go together?
Is the age of this very old man statistically believable?
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?
Which dilutions can you make using only 10ml pipettes?
Which units would you choose best to fit these situations?
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?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
How many eggs should a bird lay to maximise the number of chicks
that will hatch? An introduction to optimisation.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
chemNRICH is the area of the stemNRICH site devoted to the
mathematics underlying the study of chemistry, designed to help
develop the mathematics required to get the most from your study. . . .
Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.