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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).
Iterative Solution of Equations
Fixed point iteration and Newton's method (on some A-level courses).
Solving the equation \(x=f(x)\) using the iteration \(x_{n+1}=f(x_n)\).
Solving the equation \(g(x)=0\) using the iteration \(x_{n+1}=x_n-f(x_n)/f'(x_n)\).
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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