1. What do we mean by a linear model and superposition?
Students often confuse straight lines and linear models. It is important to form a clear distinction and to emphasis the concept of superposition which is a powerful model and simulation device.
Linear models and superposition.
2. Linearisation using Taylor series:
Gives a brief introduction to a Taylor series and illustrates its use to linearise non-linear functions.
1st order Taylor series and linearisation.
3. Linearisation of models: This note gives a simple algorithm and then some worked examples of developing linear model approximations to nonlinear models.
Linearised modelling case studies.