A Level Further Mathematics

About the course

This Level 3 Award is ideal for students who wish to work towards the higher levels of mathematical understanding required for university degree or apprenticeship in STEM subjects. The course can be studied alongside other A Levels and/or BTEC qualifications during Years 12 and 13. You will study topics in pure mathematics that build upon your GCSE and A Level knowledge, providing the building blocks for all the other modules and branches of mathematics. You will then progress to higher-level trigonometry and calculus, plus some applied mathematics in decision mathematics.

Overview of units

Pure Mathematics – Year 1:

  • Proof
  • Complex Numbers
  • Matrices
  • Algebra
  • Functions
  • Calculus
  • Vectors
  • Trigonometry
  • Coordinate Systems (parabolas and hyperbolas)
  • Numerical Methods
  • Inequalities

Decision mathematics – Year 1:

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

Pure Mathematics – Year 2:

  • Polar coordinates
  • Hyperbolic Functions
  • Differential Equations
  • Groups
  • Further Matrix Algebra
  • Number Theory
  • Further Sequences and Series

Decision Mathematics – Year 2:

  • Further algorithms
  • Linear programming

Entry requirements

You will need a minimum of a GCSE in mathematics grade 9–6 to begin study in this A Level course.


This course will be assessed through examinations and it takes two years to complete the full A Level qualification.

Where you can go next

A-Level Further Mathematics is highly valued by employers in a wide range of industries as evidence of your ability to solve problems and learn new skills. Some of our students go on to study courses with a high mathematical content at university, such as engineering, finance, mathematics, computing. Many of our students choose to apply for apprenticeships and secure some of the best positions available in the region and beyond.

Information from the examination body

Full details of this course can be found at the Pearson website.

Click here to apply