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Further Mathematics at Highfields School

Course description

Further Mathematics is an additional AS or A2 beyond the standard A Level Mathematics. It sits within a separate option block on the timetable. You must study AS/A Level Mathematics if you wish to study Further Mathematics.

The Mathematics Department has a number of staff who teach Further Mathematics plus two graduate tutors who have themselves recently completed mathematics degrees. This is an ideal climate in which to learn Further Mathematics.

Tectbooks will be issued for each module. MEI (a branch of the OCR examination board which examines Further Mathematics) also provides useful Internet resources.

Course content

New topics are introduced, such as ComplexNumbers, Polar Co-ordinates, Co-ordinate Systems,Hyperbolic Functions, and Matrices. These extendunderstanding of the subject, and enhance topicsalready met on the AS level Mathematics coursesuch as Calculus and its applications and Vectors and Proof.

The AS Level modules are: Further Pure (1), DecisionMathematics and Numerical methods. At A2 thesewill be extended to Further Pure (2), Mechanics 2and Differential Equations.

Most of the modules follow the same format as those for A Level mathematics - a mixture of teacher exposition, plenty of practice and assessment via classwork, homework and standard assessments.

Further Mathematics students tend to be those who have alreadu achieved high grades at GCSE and have the potential to do so at A Level. They are expected to develop their mathematical skills beyond the classroom with determined independent study - a similar expectation to that of students aat university.

Entry requirements

At least a grade B at GCSE Mathematics, though a grade A or A* is preferable. Grade B or above in English Language plus an average GCSE point score of 46.

Students who wish to study Further Mathematics must also study Mathematics AS/A Level. Further Mathematics also combines well with Physics.



External assessments at the end of each year are via a 90 minute examination within each module. The exceptions to this are the Numerical Methods and Differential Equations modiels which involve a piece of coursework (worth 20% of the marks for these modules).

Future opportunities

Whilst many universities do not make Further Mathematics a compulsory entry requirement for mathematics degrees, many of the more academic ones (Russell Group) would expct students to have Further Mathematics A Level.

It is also an ideal second mathematics A Level for students who wish to pursue science and engineering courses.

The choice of potential careers for mathematicians is vast (and generally well paid!). These range from accountancy, manufacturing design, teaching, resaearch work (eg. for energy companies) to computer games design.

How to apply

If you want to apply for this course, you will need to contact Highfields School directly.

Last updated date: 22 July 2015
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Key information

  • Start date: Next September
  • Duration: 1-2 Years