Further Mathematics
This subject is for those who love maths and really want to take it further. It allows you to delve deeper into the subject in a more challenging way. It is highly recommended if you are hoping to pursue a course in a STEM subject (Science, Technology, Engineering and Mathematics) at university.
Further Maths will be offered at AS and A level.
In order to take this course you must also be enrolled on mathematics.
All students study the same core pure mathematical content for Further Mathematics, which makes up half of the content for A Level and a third for AS level. The remaining half for A Level is split equally between mechanics, statistics and extra pure mathematics. The remaining two-thirds for AS Level is split equally between mechanics and statistics.
At AS, topic areas studied include complex numbers, which allow the solution of a range of equations that would otherwise have no solutions, through the introduction of ‘imaginary’ numbers, and matrices which consist of grids of numbers that can be used to represent transformations and are used to solve simultaneous equations amongst many other uses.
At A level, other areas of pure mathematics are covered such as polar co-ordinates, differential equations and hyperbolic functions. Each of these builds on earlier topics and encourages the development of a wider understanding of the ways in which mathematical topics are interconnected.
The breadth of mathematical applications is immense. It underpins most of science, technology and engineering and is also important in areas as diverse as business, law, nutrition, sports science and psychology. There are many opportunities to use mathematics to make a difference in society, for example through the analysis involved in medical research, developing new technology, modelling epidemics or in the study of patterns of criminal activity to identify trends.
If you plan to apply for a STEM (Science,Technology, Engineering and Mathematics) degree you should consider taking Further Mathematics to at least AS level. Further Mathematics is also a fantastic qualification for those students who love mathematics and want to devote more time to studying wider aspects of the subject.
- UKMT Senior Maths Challenge
- Maths Inspiration Lecture
- Maths Fest
- Dame Kathleen Ollerenshaw Lecture
- Making Maths at Manchester
- Problem Solving Course
- Trip abroad