Maths EE ideas library
Maths Extended Essay ideas: applied mathematics and modelling
Differential equations, dynamical systems and mathematical models of real processes. The context is real, but the essay is about the mathematics of the model.
Applied mathematics and modelling ideas (10)
- What the SIR model predicts about epidemicsModellingSolid
- Predator–prey cyclesModellingAmbitious
- From order to chaos in the logistic mapModellingSolid
- How small is a small angle?ModellingSolid
- Why traffic jams travel backwardsModellingAmbitious
- Is Newton's law of cooling right?ModellingAccessible
- Repeated doses and steady stateModellingAccessible
- The best launch angle with air resistanceModellingAmbitious
- The mathematics of a mortgageModellingAccessible
- Predicting a population with Leslie matricesModellingSolid
Frequently asked questions
Is applied mathematics and modelling a good area for a maths EE?
It can be, if you narrow it to one question you can answer with mathematics you understand. Spend as many words judging the model (assumptions, sensitivity, limits) as building it. That is where the discussion and evaluation marks come from.
Can I use one of these research questions as it is?
Use it as a starting point. Change the case, the comparison or the limit until the question is your own, and agree it with your supervisor.
Other areas: Number theory · Algebra · Analysis & calculus · Geometry · Probability · Statistics · Graph theory · Codes & algorithms · Optimisation & games · History of maths