Complex Numbers and Numerical Methods
The two units in this Nuffield Advanced Mathematics option were independent of one another, and of unequal in length. ‘Complex numbers’ needed more time than ‘Numerical methods’.
The unit on complex numbers developed the arithmetic and geometry of complex numbers and led up to a section on fractals. The unit on numerical methods introduced numerical approximations to solving differential equations, and finding areas under curves. Taylor's and Maclaurin's expansions were used to develop bounds for the possible errors.
Unit 1: Complex numbers
Unit 2: Numerical methods