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Further Mathematics - AS/A2 Level at Thornleigh Salesian College

Course description

Further Mathematics is ideal for those students who wish to pursue a career in a purely mathematical profession or intend to study mathematics at university.  It is also an opportunity to further develop and extend students who have a talent or flair for mathematics.

An AS course at Thornleigh Sixth Form will consist of 3 equally weighted modules:  Further Pure 1, and two applied modules.

Students who successfully complete the AS course will take another 3 equally weighted modules:  Further Pure 2, Further Pure 3 and an applied module.                                                                                                                                                                                                        The applied module could be in Statistics, Mechanics or Decision Mathematics.                                                                                                                               

                                                                                                                                                                                                          Students who wish to study any degree course containing some element of Mathematics or single degrees in Mathematics should also take Further Mathematics to Advanced level. 

Course content

Examination Board:  AQA      AS award 5371

                                                A level award 6371

In your Further Maths course you will study some of the following topics:

•           Matrices and linear spaces

•           Polar Coordinates

•           Polynomials and rational functions

•           Complex numbers

•           Differential Equations

•           Vectors


A2 allows further exploration of topics covered at AS and enables the development of analytical skills as well as application of mathematical concepts.  There is opportunity to understand how many mathematical concepts can be applied to real life situations and fine-tune problem-solving skills.

Entry requirements

You will require 5 GCSEs at grade C or above including English and Maths as well as C grades in the subjects that you want to study. Many courses do accept students who have not previously studied the subject. To study AS Level Science subjects you will require a minimum combination of GCSE B/B in Core and Additional Science. To study AS Level Maths you will require a minimum of a B grade in Maths GCSE


In year 12 you will have to complete a written exam paper in 3 different modules.  All pupils sit one core paper (FP1), and then have a choice of two applied modules from Statistics, Mechanics or Decision for the remaining exam paper.  The FP1 paper is usually sat in January, and the other two in June.  Each exam paper consists of approximately 7 or 8 questions which tests knowledge on all the main units of the module.  Each exam paper has equal weighting and counts for 33% of the AS mark and 16% of the A Level mark.

In year 13 you will complete a further 3 exam modules.  These consist of the additional two core papers (FP2 and FP3), and there is again a choice of an applied module for the final remaining module.  Each exam paper consists of approximately 7 or 8 questions which test knowledge on all the main units of the module as is done in year 12.  Again all papers are equally weighted, each being worth 16% of the final A Level.

Future opportunities

There is always demand for mathematicians in most areas of employment, particularly in accounts, engineering, banking and less obvious careers such as architecture, landscape gardening, psychology and medicine.  The course can be studied alongside any of the other AS/A2 level courses. Some students choose Mathematics because:

  • of their chosen career paths e.g.: accounts, engineering, management, medicine, psychologists,
  • it complements other subjects such as Science, Business Studies, Economics, Psychology, Geography
  • it is a highly sought after A Level by top universities
  • it is a subject which is both challenging and thought-provoking – it is the ‘language of the universe’


Further information

To find out more about this qualification please attend our Open Evening or contact the college directly via email at or by telephone 01204 305172.

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: 30 September 2015
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