## AQA 7357

### Are you studying this syllabus?

#I1

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.

#I2

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.

#I3

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.

#I4

Use numerical methods to solve problems in context.