AS and A Level Further Mathematics
Course: 
AS and A LEVEL FURTHER MATHEMATICS 

Board: 
Edexcel 

Course code: 
Further Maths AS Level: XFM11
Further Maths A2 Level: YFM11


Duration: 
2 years (full A level) or 1 year (AS level) 

Aims of the course: 


Topics covered: 
AS level Further Mathematics
FP1: Complex numbers; roots of quadratic equations; numerical solution of equations; coordinate
systems; matrix algebra; transformations using matrices; series; proof.
FP2: Inequalities; series; further complex numbers; first order differential equations; second order
differential equations; Maclaurin and Taylor series; Polar coordinates.
M3: Further kinematics; elastic strings and springs; further dynamics; motion in a circle; statics of rigid bodies.
A2 level Further Mathematics
FP3: FHyperbolic functions; further coordinate systems; differentiation; integration; vectors; further matrix algebra.
S2: The Binomial and Poisson distributions; continuous random variables; continuous distributions; samples; hypothesis tests.
S3: Combinations of random variables; sampling; estimation, confidence intervals and tests; goodness of fit and contingency tables; regression and correlation.
Or
D1: Algorithms; algorithms on graphs; algorithms on graphs II; critical path analysis; linear
programming.


Assessed: 
AS
By examination.
FP1 module taken in January.
FP2 & M3 modules taken in May/June.

A2
By examination.
S1 module taken in January.
FP3 & S2 or S3 or D1 modules taken in May/June.

Assessment details: 
All units equally weighted at 16 2/3% of the complete A level
Each examination paper lasts 1 hour and 30 minutes



Calculators may be used in all units 

Leads to: 
An Alevel mathematics course provides not only an 'in depth' study of mathematics but also aims to develop those skills essential for a successful university career in mathematics, physics, actuarial science, statistics, engineering, operations research, computer science, business and industrial management, economics, finance, chemistry, geology, life sciences, behavioural sciences and cryptography. Mathematicians are highly employable due to their strong analytical and reasoning skills.
Both universities and employers hold an A level qualification in Further Mathematics in high regard. With the appropriate combination of other AS and A levels, A level Further Mathematics can lead to a wide variety of options when choosing higher education courses. Typical examples include Medicine, Engineering, Law, Business, Social and Political sciences, Natural sciences, and of course Mathematics itself. Similarly the employment opportunities are equally diverse.
Further Mathematics is strongly recommended for those students who wish to apply to those universities listed in the “top ten” for such subjects as Engineering, Economics, Mathematics or Physics.
