Clayesmore

Sixth Form A-level Courses Further Mathematics

Further Mathematics

Board: Edexcel

Syllabus: Mathematics: AS – 8372; A2 – 9372

Modules

1. AS Further Pure 1 (FP1) – Series; complex numbers; numerical solution of equations; coordinate systems, matrix algebra, proof.
2. One of the following
   1. Decision 2 (D2) – Transportation problems; allocation (assignment) problems; the travelling salesman; game theory; further linear programming, dynamic programming; flows in networks.
   2. 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.
   3. Mechanics 3 (M3) – Further kinematics; elastic strings and springs; further dynamics; motion in a circle; statics of rigid bodies.
   4. Mechanics 4 (M4) – Relative motion; elastic collisions in two dimensions; further motion of particles in one dimension; stability.
   5. Statistics 2 (S2) – The Binomial and Poisson distributions; continuous random variables; continuous distributions; samples; hypothesis tests.
   6. Statistics 3 (S3) – Combinations of random variables; sampling; estimation, confidence intervals and tests; goodness of fit and contingency tables; regression and correlation.
3. Another module from 2. above
4. A2 Further Pure 2 (FP2) – Inequalities; series, first order differential equations; second order differential equations; further complex numbers, Maclaurin and Taylor series.
5. Either, Further Pure 3 (FP3) – Further matrix algebra; vectors, hyperbolic functions; differentiation; integration, further coordinate systems. Or another module not already studied.
6. Another module not already studied (e.g. M3)

Further information

Further Mathematics in the Sixth Form is not for the faint-hearted. It is very demanding but it will deliver a huge sense of reward and achievement to those who are capable of pursuing the subject to the highest level. A genuine love of maths is a pre-requisite, as is an A* at GCSE as well as some preparatory work over the summer holidays after Year 11.

If you want to study engineering or mathematics at university then you should seriously consider Further Mathematics AS or A Level. It provides an excellent foundation for the study of mathematics, engineering and astrophysics, 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.