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Further Mathematics AS/A Level ( OCR ) at Allerton High School

Course description

Further Mathematics is seen by employers and universities alike as a demanding subject and alongside A Level Mathematics is listed as one of the "facilitating subjects" by the Russell Group of top universities.

The Further Maths course allows students to gain a wider and deeper understanding of Mathematical concepts and techniques.

In the Pure topics, students develop their algebraic language with further proofs, series and equations.

Decision Mathematics is introduced as a new concept in the Further Mathematics course. This part of the course is a relatively new branch of Mathematics and is particularly of use to those students who wish to study Computer Programming.  Algorithms are studied to solve problems including how route planners and Satellite Navigation units work out the most efficient way from, for example, Grimsby to Alsager.

There is also the chance to extend the application of maths with more advanced statistical and mechanical modelling, building on the Mechanics and Statistics modules in the A-level maths course.

Course content


Roots of Polynomial Equations, Proof by Induction, Complex Numbers, Groups, Differential Equations, Differentiating and Integrating, Functions, Series, Polar Co-ordinates, Newton-Raphson Method, Vectors


Algorithms, Algorithms on graphs, The Route Inspection Problem, Linear Programming, Allocation problems, Game Theory, Dynamic Programming, Flows in Networks, Critical Path Analysis

Further mechanics:

Centre of Mass, Equilibrium of a Rigid Body, Motion of a Projectile, Uniform Motion in a Circle, Coefficient of Restitution, Impulse, Energy, Work and Power

Further statistics:

Confidence Intervals, Further Probability Distributions, Hypothesis Testing


Entry requirements

You should have achieved a minimum of 5 9-5 Grades at GCSE or equivalent including Maths and English.  Grade 7 in GCSE Maths is expected, grade 8 is recommended.


There is no coursework for AS Further Mathematics, instead there are three examinations.  All exams are taken in the summer.  The examinations assess your understanding of the topics covered and your ability to apply the concepts to different situations.


Future opportunities

Further Mathematics at AS/A level is important not only for Mathematics degrees but those in other STEM subjects (i.e. Science, Technology and Engineering) and is a respected subject for entry to any degree course.

Further information

For further information please contact Mr Ulrich-Oltean ( or Miss Hepworth ( on 0113 2034770.

How to apply

You can apply for this course through UCAS Progress. Add this course to your favourites so you can start making an application.

Last updated date: 02 October 2017
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Key information

  • Start date: Next September
  • Duration: 2 Years
  • Number of planned places: 25

Contact details

    • Contact name:
    • Mr B Harding
    • Contact telephone number:
    • 0113 2034770