SEB113 students really seemed to enjoy looking at mathematical modelling last week. The Lotka-Volterra equations continue to be a good teaching tool. A student pointed out that when reviewing the limit idea for derivatives it’d be useful to show it with approximating the circumference of a circle using a polygon. So I knocked this up:
Are you interested in big data and/or air quality? Consider doing a PhD with me.
This week I showed in the workshop how Markov chains are a neat application of linear algebra for dealing with probability. We used this interactive visualisation to investigate what happens as the transition probabilities change.
Zoubin Ghahramani has written a really nice review paper of Bayesian non-parametrics that I really recommend checking out if you’re interested in the new modelling techniques that have been coming out in the last few years for complex data sets.
Exercism.io is a new service for learning how to master programming by getting feedback on exercises.