“Nature is written in mathematical language.” Galileo Galilei
The greatest minds of every era since the Ancient Greeks formalised the study of maths over 2500 years ago have relished the opportunity to discover and explore new mathematics – taking Further mathematics at A-Level is an opportunity to understand some of their innovations and their uses in the modern world.
There is a beauty in mathematics – in the patterns, the simplicity, the way they can explain the world and universe around us. Further mathematics allows you to explore the subject in far greater detail than just taking mathematics alone. You will learn about entirely new branches of mathematics that you never before encountered and gain a far greater knowledge, understanding and competence in the subject often referred to as the “queen of the sciences”.
The Further Mathematics A-Level covers:
- Complex numbers; matrix algebra; differential equations; hyperbolic functions; different coordinate systems; mathematical proof; infinite series and many other topics and techniques.
- Mechanics – similar to what is studied in the Mathematics A-Level, but ideas are taken further.
- Statistics – similar to what is studied in the mathematics A-Level, but ideas are taken further.
- Decision – an important branch of modern mathematics which deals with how computers can be used to quickly solve complex problems with many variables.
In Further mathematics, 50% of the course is compulsory and the remainder is made up of a selection of various other units – these may be additional Pure mathematics, Statistics, Mechanics or Decision mathematics.
How will I be assessed?
At the end of year 12 there will be two written examinations each lasting 1 hour 40 minutes. The overall result will form your AS grade.
At the end of year 13 there will be four written examinations each lasting 1.5 hours. The overall result will form your final A-Level grade.
Additional Entry Requirements
- GCSE Maths: 7
- GCSE English: 4
These requirements are in addition to the general entry requirements.
All A-Level courses are two year courses. You will sit the AS exams at the end of Year 12 and the A-Level exams at the end of Year 13. You will need at least a grade D at AS to succeed on this course in Year 13.
Where can this course take me?
As with mathematics, further mathematics can be an incredibly useful course for many university degrees, such as the sciences, engineering and computer science, amongst others. If you are considering a subject which is closely related to maths to study at university, further mathematics will be incredibly useful and give you a head-start in your studies as you will have already encountered some of the content. If you wish to study mathematics at degree level, whilst it is not essential for some universities, it is very strongly recommended.