Numerical Methods

A Level

  • 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 xn+1 = g(xn) and 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