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Numerical Methods (Metric)
Learn, or revise, numerical integration, iterative solution of equations, fitting curves to data and numerical solution of differential equations.
Trapezium rule, Simpson's rule (A-level topics) and the Richardson extrapolation (not on lost A-level courses).
Estimating definite integrals using the ordinates \(y_0,\,y_1,\,y_2,\,\dots,y_n\).
Getting an improved estimate by extrapolating.
Iterative Solution of Equations
Fixed point iteration and Newton's method (on some A-level courses).
Interpolation using polynomials; least-squares regression (mostly First Year university topics).
Euler's method for the approximate solution of differential equations.
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