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These are the statements describing what students need to learn:

- locate roots of f (x) = 0 by considering changes of sign of f(x) in an interval of x on which f(x) is sufficiently well behaved. Understand how change of sign methods can fail
- solve equations approximately using simple iterative methods; be able to draw associated cobweb and staircase diagrams
- solve equations using the Newton-Raphson method and other recurrence relations of the form x
_{n+1}= g(x_{n}) Understand how such methods can fail - understand and use numerical integration of functions, including the use of the trapezium rule and estimating the approximate area under a curve and limits that it must lie between
- use numerical methods to solve problems in context

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