Tiny example
A simple model
Distance = speed x time models a journey at constant speed.
It is useful, but it ignores traffic, stops and changes in speed.
Modelling
Using mathematics to represent part of the world.
A model is not the whole world. It is a useful simplification that helps you ask a question, make a prediction or test an idea.
Why it matters
Modelling connects mathematics to weather, rivers, motion, finance, biology, networks and decision making.
Things to watch for
- Forgetting the assumptions.
- Believing a model because it has equations.
- Using a model outside the situation it was built for.
Where it connects
modellingstatisticsmechanics
Try it in a tool
ChangeOptimisationRepresentation
River Flow and Flood Risk Simulator
Explore rainfall, storage, release decisions and flood thresholds.
Tool and explorationChangeRepresentationOptimisation
Projectile Motion Lab
Adjust launch speed, angle and gravity to explore projectile motion.
ToolChanceRepresentationOptimisation
Linear Regression and Overfitting Lab
Compare training error, test error and model complexity.
Tool and exploration