as-and-a-level-mathematics 6

AS and A Level Mathematics



Course code:

International Mathematics AS Level: XMA11,  

International Mathematics A2 Level: YMA11


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

Aims of the course:

  • develop their understanding of mathematics and mathematical processes in a way that promotes confidence and fosters enjoyment
  • develop abilities to reason logically and recognise incorrect reasoning, to generalise and to construct mathematical proofs
  • extend their range of mathematical skills and techniques and use them in more difficult, unstructured problems
  • develop an understanding of coherence and progression in mathematics and of how different areas of mathematics can be connected
  • recognise how a situation may be represented mathematically and understand the relationship between ‘real-world’ problems and standard and other mathematical models and how these can be refined and improved
  • use mathematics as an effective means of communication
  • read and comprehend mathematical arguments and articles concerning applications of mathematics
  • acquire the skills needed to use technology such as calculators and computers effectively, recognise when such use may be inappropriate and be aware of limitations
  • develop an awareness of the relevance of mathematics to other fields of study, to the world of work and to society in general
  • take increasing responsibility for their own learning and the evaluation of their own mathematical development.

Topics covered:

AS level Mathematics
P1: Algebra and functions; coordinate geometry in the (x,y); trigonometry; differentiation; integration.
P2: Proof; algebra and functions; coordinate geometry in the (x, y) plane; sequences and series;
exponentials and logarithms; trigonometry; differentiation; integration.
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.
S1: Mathematical models in probability and statistics; representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the Normal distribution.
A2 level Mathematics
P3: Algebra and functions; trigonometry; exponentials and logarithms; differentiation; integration; numerical methods. 
P4: Proof; algebra and functions; coordinate geometry in the (x, y) plane; binomial expansion;
differentiation; integration; vectors.
M2:  Kinematics of a particle moving in a straight line or plane; centres of mass; work and energy; collisions; statics of rigid bodies.
S2: The Binomial and Poisson distributions; continuous random variables; continuous distributions; samples; hypothesis tests.


By examination.  
P1 module taken in January.
P2 & M1 or S1 modules taken in May/June


By examination.  
P3 module taken in January.
P4 & M1 or M2 or S1 or S2 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 A-level 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 Mathematics in high regard. With the appropriate combination of other AS and A levels, A level 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.