**Advanced Higher Mathematics**

Preferred Entry Level:- Higher Mathematics pass at grade A or B or equivalent.

This courses includes the following three units of work.

Methods InAlgebra & Calculus |
Applying algebraic skills to partial fractions
Applying calculus skills through techniques of differentiation Applying calculus skills through techniques of integration Applying calculus skills to solving differential equations |

ApplicationsIn Algebra & Calculus |
Applying algebraic skills to the binomial theorem and to complex numbers
Applying algebraic skills to sequences and series Applying algebraic skills to summation and mathematical proof Applying algebraic and calculus skills to properties of functions Applying algebraic and calculus skills to motion and optimisation |

Geometry, Proof & Systems of Equations |
Applying algebraic skills to matrices and systems of equations
Applying algebraic and geometric skills to vectors Applying geometric skills to complex numbers Applying algebraic skills to number theory Applying algebraic and geometric skills to methods of proof |

Students must pass each of the three units and in addition are

required to pass an external exam consisting of one three hour paper.

required to pass an external exam consisting of one three hour paper.