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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.

Numerical Integration

Trapezium rule, Simpson's rule (A-level topics) and the Richardson extrapolation (not on lost A-level courses).

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

Lesson

Getting an improved estimate by extrapolating.

Lesson

Iterative Solution of Equations

Fixed point iteration and Newton's method (on some A-level courses).

Data Fitting

Interpolation using polynomials; least-squares regression (mostly First Year university topics).

Differential Equations

Euler's method for the approximate solution of differential equations.

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