This session is going to focus on the idea of solving problems and the way we develop mathematical ideas and solutions. At the bottom of the page you will find a video explaining the friendship paradox and how networks are used in real life to solve problems...
These are the 7 bridges of Konigsberg
Start anywhere on the picture you like. Can you cross all of the bridges?
Don't spend too long trying - we will get to a solution by the end of the session...
Please watch the video. You will need some paper, a pencil and a rubber.
How to actually trace each shape
When is it possible?
Friendship Paradox and Virus Spread
So Euler's early work on Networks that comes from the bridges problem has grown. This video shows how these ideas can link with other ideas that you have already studied (like probability) to create solutions to problems that are massively less trivial.
Maths seems to develop like this, mathematicians do something because it is fun and we make a problem simple. Then it is fun to add on the complexity, and finally hand the work over to someone else to use.
This video looks at Probability and Network connections and the modelling behind rapid disease control.