Tutorials on mathematical skills: roots of polynomials, Laplace Transforms, Inverse Laplace, Complex numbers, Logarithms and exponentials, Binomial expansions for A level, Logarithms for A level, Trigonometry for A level, Simultaneous equations, matrices and determinants.
Tutorials on linear models and behaviours: Modelling principles and analogies, modelling of 1st and 2nd order systems, responses of 1st and 2nd order systems, classifying behaviours.
Tutorials on concepts of feedback and control: Block diagrams, impact of uncertainty, importance and impact of feedback, closed-loop offsets, simple design approaches.
Tutorials on classical control analysis and design tools: root-loci, Bode diagrams, Nyquist diagrames, gain/phase margins, lead and lag compensation.
Tutorials on discrete systems: Time series, sampling, z-transforms, ZOH, control desigh, Tustin transforms.