# A Level Mathematics Further

## Science and Mathematics

#### What will you be working towards?

Code |
M8 |

Qualification Type |
GCE A/AS Level or Equivalent |

Qualification Level |
Level 3 |

Course type |
Full Time |

#### Overview

**A Level Mathematics Further**

#### Details

Students can only choose Further Mathematics **in addition** to the single Mathematics A-Level, although it is assessed separately as an A-Level in its own right.

In Further Maths, the course will consist of 50% Further Pure Mathematics, which is mandatory content, and two additional units worth 25% each. We currently offer Statistics and Decision Mathematics as the two additional units, although this is subject to change at the school’s discretion.

**Further Pure Mathematics **

Students develop an understanding of the rigour and technical accuracy needed for more advanced study of mathematics, and look at advanced areas such as matrices, complex numbers and differential equations.

Topics:

Proof

Matrices

Complex Numbers

Polynomial Roots and Maclaurin Series

Further Calculus

Volumes of Revolution

Vectors

in 3D

Polar Coordinates

Hyperbolic Functions

Differential Equations

**Further Statistics **

Students develop a wider range of statistical tools and models which can be applied to practical scenarios, and develop the ability to select and evaluate appropriate hypothesis tests.

Topics:

• Discrete Probability Distributions

• Poisson and Binomial Distributions

• Geometric and Negative Binomial Distributions

• Hypothesis Testing

• Central Limit Theorem

• Chi Squared Tests

• Probability Generating Functions

**Decision Mathematics **

Students gain experience of modelling and of the use of algorithms in a variety of situations.

Topics:

• Algorithms

• Graph Theory

• Minimum Connectors and Shortest Paths

• Critical Path Analysis

• Linear Programming

#### How will it be delivered?

#### Entry requirements

Normal entry requirements with GCSE Mathematics at Grade 7 or above.

A good understanding of all GCSE Algebra topics is expected.

#### Your next steps...

**Progression**

Further Mathematics is ideal for students who are planning to go on and do a degree in Mathematics at University. Content in the Further Mathematics course also come up in degrees in Physics and Engineering, so it can also give you a head-start in these disciplines. It can also be a preferred A-level in almost any BSc subject, including Chemistry, Biology, Geography, Sociology and Psychology.