# Further Mathematics AS/A2 Level at Heathfield Community College

## Course description

Further Mathematics is a separate A Level but must be taken alongside the Mathematics AS Level. On completing the course you will have 2 qualifications: an AS Level in Mathematics and an AS Level in Further Mathematics.

The Further Mathematics course develops the work covered in the mathematics course in three ways:

Decision Mathematics - this is a new branch of mathematics that deals with the analysis and solution of complex decision making problems, such as ones found in Business and Computing.

Further Pure Mathematics - this takes the study of Pure Mathematics beyond the level of the mathematics core modules and deals with advanced calculus, complex numbers, matrix algebra and other topics.

Further Statistics - develops the work from the AS Mathematics course to use probability models to test hypotheses when modeling real world situations.

## Course content

**Year 1 **

**Unit 1: Decision Maths 1 **

• Algorithms

• Graphs and networks

• Algorithms on networks

• Route inspection

• Critical path analysis

• Linear programming

• Matchings

**Assessment Information **

Examination is worth 33.3% of the final grade

**Unit 2: Decision Maths 2 **

• Transportation problems

• Allocation problems

• Travelling salesman problem

• Further linear programming

• Game theory

• Flows

• Dynamic programming

**Assessment Information **

Examination is worth 33.3% of the final grade

**Unit 3: Further Pure Maths 1 **

• Complex numbers

• Numerical solutions

• Coordinate systems

• Matrix algebra

• Series

• Proof by induction

**Assessment Information **

Examination is worth 33.3% of the final grade

**Year 2 **

**Unit 4: Statistics 2**

• Binomial and Poisson distributions

• Continuous random variables

• Continuous distributions

• Hypothesis tests

**Assessment Information **

Examination is worth 33.3% of the final grade

**Unit 5: Further Pure Maths 2 **

• Inequalities

• Series

• Further complex numbers

• First order differential equations

• Second order differential equations

• Maclaurin and Taylor series

• Polar coordinates

**Assessment Information **

Examination is worth 33.3% of the final grade

**Unit 6: Further Pure Maths 3 **

• Hyperbolic functions

• Further coordinate systems

• Differentiation

• Integration

• Vectors

• Further matrix algebra

**Assessment Information **

Examination is worth 33.3% of the final grade

## Entry requirements

A* - A in GCSE Mathematics, students must also be studying AS Level Mathematics

## Assessment

See Course Content for full details of assessments.

## Future opportunities

Always impressive on UCAS applications, Further Mathematics marks students out as extremely capable candidates and as such is highly favoured by universities for Mathematics, Engineering and Physics courses. It is required for Mathematics courses at the top universities.

In addition to specific skills, the Further Mathematics course develops the ability to think clearly and logically through problems and as such is a widely respected qualification.

## Further information

This course combines well with Chemistry, Biology, Physics, Psychology and Business.

**Student quote**

*“If you can enjoy the infinite complexities and subtleties of Maths, then Further Maths will open up new doors for you. It gives a tantalizing glimpse into what GCSE Maths doesn’t even hint at!” Iain Mitchell*

## How to apply

If you want to apply for this course, you will need to contact Heathfield Community College directly.