## Mathematics - 6th Form

Mathematics develops logical thought and serves as a model for rational enquiry which is used extensively in the sciences. It is one of the most challenging yet rewarding subjects at A level, and is heavily dependent upon high level algebraic skills. These skills are developed throughout the course and students are encouraged to apply them with understanding and confidence. Mathematics develops the essential skills of analysis and rigour; these components form the foundation for success in all areas of mathematics.

Pure Mathematics is a core component of the course that involves algebraic skills and calculus. In addition there are application units in: Mechanics (which has close links with Physics); Statistics (very useful in combinations with Biology, Business, Economics and Geography) and Decision Mathematics (which combines well with Business, Economics and ICT).

## Mathematics AS Level

Students will sit the EDEXCEL International A Level. They are required to study the modules Core 1 and Core 2, which are combined into the Core 12 examination, and one of the application modules.

Module | Contents |
---|---|

Core 1 | Algebraic Processing Skills; Equation and Inequalities; Functions and Curve Sketching; Co-ordinate Geometry; Sequences and Series; Laws of Indices; Differentiation 1; Integration 1 |

Core 2 | Factor and Remainder Theorems; Applied Trigonometry; Logarithms; The Circle; Binomial Expansion 1; Trigonometric Functions; Differentiation 2; Integration 2 |

Mechanics 1 | Mathematics Models in Mechanics; Vectors and Their Application in Mechanics; Kinematics of a Particle; Statics of a Particle; Dynamics of a Particle Moving in a Straight Line or Plane; Moments |

Statistics 1 | Mathematical Modelling; Representation of Sample Data; Methods for Summarising Sample Data; Location and Dispersion; Probability; Correlation; Regression; Discrete Random Variables; The Normal Distribution |

## Mathematics A2 Level

Students who successfully complete the AS Level Mathematics course can continue studying Mathematics to obtain a full International A Level in Mathematics. All Students are required to study Core 3 and Core 4 and one of the application modules not studied in the AS Level course.

Module | Contents |
---|---|

Core 3 | Algebraic Fractions; Functions; The Exponential and Log Function; Numerical Methods; Transforming Graphs of Functions; Trigonometry 1; Further Trigonometry; Differentiation 3 |

Core 4 | Partial Fractions; Parametric Equations; Binomial Expansion 2; Differentiation 4; Vectors; Integration 4 |

Decision 1 | Algorithms; Graphs and Networks; Algorithms on Graphs; The Route Inspection Problem; Critical Path Analysis; Linear Programming; Matchings |

Mechanics 2 | Kinematics of a Particle Moving in a Straight Line; Centres of Mass; Work, Energy and Power; Collisions; Statics of Rigid Bodies |

Statistics 1 | Mathematical Modelling; Representation of Sample Data; Methods for Summarising Sample Data; Location and Dispersion; Probability; Correlation; Regression; Discrete Random Variables; The Normal Distribution |

Statistics 2 | The Binomial Distributions; The Poisson Distributions; Continuous Random Variables; Continuous Distributions; Approximating Using the Normal Distribution; Populations and Sampling; Hypothesis Test |

## Further Mathematics AS Level

This will be studied in Year 12. Students are required to study Further Pure 1 and an extra two application modules not studied as part of their regular Mathematics AS Level

Module | Contents |
---|---|

Further Pure 1 | Complex Numbers; Coordinate System; Matrix Algebra; Series; Proof by Mathematical Induction |

Decision 1 | Algorithms; Graphs and Networks; Algorithms on Graphs; The Route Inspection Problem; Critical Path Analysis; Linear Programming; Matchings |

Mechanics 1 | Mathematics Models in Mechanics; Vectors and Their Application in Mechanics; Kinematics of a Particle; Statics of a Particle; Dynamics of a Particle Moving in a Straight Line or Plane; Moments |

Statistics 1 | Mathematical Modelling; Representation of Sample Data; Methods for Summarising Sample Data; Location and Dispersion; Probability; Correlation; Regression; Discrete Random Variables; The Normal Distribution |

### Further Mathematics A2 Level

Students are required to study Further Pure 2 and Further Pure 3 and one of the application modules.

Module | Contents |
---|---|

Further Pure 2 | Inequalities; Series Methods of Differences; Further Complex Numbers; First Order Differential Equations; Second Order Differential Equations; Maclaurin and Taylor Series; Polar Coordinaets |

Further Pure 3 | Hyperbolic Functions; Coordinate Differentiations; Integration; Vectors; Further Matrix Algebra |

Mechanics 2 | Kinematics of a Particle Moving in a Straight Line; Centres of Mass; Work, Energy and Power; Collisions; Statics of Rigid Bodies |

Statistics 2 | The Binomial Distributions; The Poisson Distributions; Continuous Random Variables; Continuous Distributions; Approximating Using the Normal Distribution; Populations and Sampling; Hypothesis Test |

## Entry Requirements

### Mathematics

The minimum entry requirement is an (I)GCSE grade B, but an A*/A is desirable. Students who have a grade B at (I)GCSE must demonstrate that the have the necessary algebraic skills to tackle the course with confidence.

As A2 level study builds on the Year 12 work a grade D at AS level is a prerequisite to advance to Year 13 Mathematics.

### Further Mathematics

You must have been awarded an A* at IGCSE (or A/A* if taken in Year 10). If you studied an Additional Mathematics course in Year 11 we would expect you to have achieved an A or B grade. To continue your studies into Year 13 you must have gained an A grade at AS Further Mathematics.