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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.

## Units

### 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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