Numerical Methods (Metric)

Class Details

Tom Baker

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).

Trapezium Rule and Simpson's Rule

Estimating definite integrals using the ordinates \(y_0,\,y_1,\,y_2,\,\dots,y_n\).

Lesson

The Richardson extrapolation

Getting an improved estimate by extrapolating.

Lesson

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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