Further Mathematics

Science and Mathematics

Science and Mathematics
Science and Mathematics
We are only accepting one application per candidate.

What will you be working towards?

Code FM01
Qualification Type GCE A/AS Level or Equivalent
Qualification Level Level 3
Course type Full Time


Studying Further Mathematics offers students the opportunity to take every aspect of what they learnt on the Mathematics course to the next level. It offers the opportunity to prove more of what they have learnt, and use it in a wider range of applications. Students will also be able to study an additional area of Mathematics, called Decision Mathematics, which is largely focused on logic and algorithms. This compliments areas of Computing Science, as does the new topic of Matrices.

Skills Acquired

  • Skills and knowledge development
  • Application of skills and knowledge to practical situations
  • Methods of working logically

Students Suited To The Course
Students who have all he attributes listed for the Mathematics A Level, who are also well skilled at working independently. It is vital students are willing and able to work together, discussing and debating ideas with each other.

What Other Subjects It Combines Well With
This is the same as those listed for Mathematics

Trips and visits, Maths Challenge.


He course comprises of Core Pure Mathematics, which builds on and extends knowledge from the Pure Mathematics taught in the other course, whilst introducing further topics such as complex numbers. There are then two optional units, for which we plan to do Further Pure Mathematics, and Decision Mathematics. If students would prefer to study further Mechanics or Statistics instead, this could be negotiated.

Unit Content

Core Pure Mathematics

  • Proof
  • Complex Numbers
  • Matrices
  • Further Algebra and Functions
  • Further Calculus
  • Further Vectors
  • Polar Coordinates
  • Hyperbolic Functions
  • Differential Equations

Decision Mathematics

  • Algorithms and Graph Theory
  • Algorithms on Graphs
  • Critical Path Analysis
  • Linear Programming

Further Pure Mathematics

  • Further Trigonometry
  • Further Calculus
  • Further Differential Equations
  • Coordinate Systems
  • Further Vectors
  • Further Numerical Methods
  • Inequalities

How will it be delivered?

A-Level assessment will consist of four 1.5 hour written exams, taken at the end of the two-year course. Each exam will be worth one quarter of the A Level. Two of the papers will draw on material from Core Pure Mathematics, one from Further Pure Mathematics, and one from Decision Mathematics. The questions will assess three key areas: mathematical arguments; language & proof; problem solving and modelling.

Entry requirements

GCSE Grade 8 in Mathematics. Students must be taking this in addition to A Level Mathematics.

Your next steps...

Again, this is much the same as Mathematics. Having the additional A Level will put students in a better position when applying for Mathematics courses and ones which are focussed on these skills, such as Engineering and Computer Science. Universities will often lower entry requirements for students with a Further Mathematics A Level, as students with this qualification are highly sought after.