Further Mathematics

  • Board: Edexcel
  • Syllabus: Mathematics: AS – 8372; A2 – 9372
Modules

AS

  1. Further Pure 1 (FP1) – Series; complex numbers; numerical solution of equations; coordinate systems, matrix algebra, proof.
  2. Mechanics 1 (M1) - Mathematical models in mechanics; vectors in mechanics; kinematics of a particle moving in a straight line; dynamics of a particle moving in a straight line or plane; statics of a particle; moments.
  3. Mechanics 2 (M2) - Kinematics of a particle moving in a straight line or plane; centres of mass; work and energy; collisions; statics of rigid bodies.

    4. A2

  4. Further Pure 2 (FP2) – Inequalities; series, first order differential equations; second order differential equations; further complex numbers, Maclaurin and Taylor series.
  5. Statistics 2 (S2) - The Binomial and Poisson distributions; continuous random variables; continuous distributions; samples; hypothesis tests.
  6. Either
    1. Decision 2 (D2) - Transportation problems; allocation (assignment) problems; the travelling salesman; game theory; further linear programming, dynamic programming; flows in networks.
    2. Mechanics 3 (M3) - Further kinematics; elastic strings and springs; further dynamics; motion in a circle; statics of rigid bodies.
Further information

Studying Further Mathematics in the Sixth Form is not for the faint-hearted as it is incredibly demanding. However, it will deliver a huge sense of reward and achievement to those who are capable of pursuing the subject at the highest level. A genuine love of maths is a pre-requisite, as is an A* at IGCSE as well as some preparatory work over the summer holidays.

If you want to study Engineering or Mathematics at university, then you should seriously consider further mathematics AS or A-Level. You will have the opportunity to explore the subject in much greater depth and pursue your own particular areas of interest. Studying Further Mathematics requires you to also study Mathematics.

Further Mathematics provides an excellent foundation for the study of Mathematics, Engineering and Astrophysics, as much of the work covered is also seen in the first year of many undergraduate degree programmes in these disciplines. Thus it will provide a head start if you intend to pursue a degree in one of these fields.