A Level Mathematics Syllabus Statement

Syllabus Content

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

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Iteration Find approximate solutions to equations numerically using iteration.

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Algebra Pupils begin their study of algebra by investigating number patterns. Later they construct and express in symbolic form and use simple formulae involving one or many operations. They use brackets, indices and other constructs to apply algebra to real word problems. This leads to using algebra as an invaluable tool for solving problems, modelling situations and investigating ideas. If this topic were split into four sub topics they might be: Creating and simplifying expressions; Expanding and factorising expressions; Substituting and using formulae; Solving equations and real life problems; This is a powerful topic and has strong links to other branches of mathematics such as number, geometry and statistics. See also "Number Patterns", "Negative Numbers" and "Simultaneous Equations".

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A Level Mathematics Syllabus Statement

Numerical methods