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Further Maths AS and A Level at Tapton School

Course description


In Y12 you study AS Mathematics and AS Further Mathematics.

In Y13 you complete A Level Mathematics and A Level Further Mathematics.

In Further Maths you will study Pure Core content and two from Statistics, Mechanics, Discrete Maths and Additional Pure Maths over two years.

Course content

Students will learn the principles of Core Mathematics and how to apply them in the context of Mechanics, Statistics and Decision Maths.  AS Further Maths involves Further Pure Mathematics.

  • Pure Core - extended and deeper knowledge of proof, algebra, function, calculus, vectors, complex numbers, matrices, differential equation, polar coordinate and hyperbolic function.
  • Statistics - Combinations, discrete and continuous probability distribution, confidence intervals, hypothesis testing, chi - squared and non-parameter tests, correlation and regression.
  • Mechanics - Dimensional analysis, work, energy, powers, impulse, momentum, centres of mass, circular motion, vectors, variable force.
  • Discrete Maths - Optimisation, graphs and networks, algorithms, critical path anaylsis, linear programming, game theory, simplex, Hmailtonian graphs.
  • Additional Pure Maths - recurrence relation, number theory, group theory, vector product, eigenvalues and eigenvectors, surfaces, partial differentation.

Entry requirements

Grade 7 in Mathematics. 

You cannot study AS Further Maths without AS Maths. 


A commitment to Further Mathematics requires 9 teaching periods each week.

In Further Maths, AS Level is assessed by three components at the end of Y12: Pure Core and two of Statistics, Mechanics, Discrete Maths and Additional Pure Maths.

A Level is assessed by 4 components at the end of Y13: Two Pure Core Exams and two of Statistics, Mechanics, Discrete Maths and Additional Pure Maths.




Future opportunities

Career prospects are infinite. Mathematics opens up the possibility of careers in medicine, banking and insurance, commerce, marketing, accountancy, engineering, research and design, educaton, government and public services, research statisticians, managers, administrators, manufacturing, industry and the armed forces to name a few. Naturally, A Level Further Mathematics is a very highly valued subject in the eyes of universities and other institutes of Higher Education.

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: 15 November 2018

Key information

  • Start date: Next September
  • Duration: 1 year for AS Level, 2 years for A Level