A Level Further Mathematics

2 year Course / Edexcel

Further Mathematics extends and develops the topics introduced in the Mathematics course and introduces some new topics such as complex numbers. The course provides an excellent grounding for anyone going on to study Mathematics, Engineering, Computer Science or Physics at university.

More on this course

Further Mathematics provides a great opportunity for enthusiastic mathematicians to broaden and deepen their subject knowledge. It is for those students who love mathematics and want to devote more time to studying wider aspects of the subject. Topics studied on this course include complex numbers and matrices. Complex numbers allow the solution of a range of equations, which would otherwise have no solutions, through the introduction of imaginary numbers. Matrices consist of grids of numbers, which can be used to represent transformations and are used to solve simultaneous equations amongst many other things. Other areas of Pure Mathematics are included such as polar co-ordinates, differential equations and hyperbolic functions. Each of these builds on earlier topics and encourages the development of a wider understanding of the ways in which mathematical topics are interconnected. Further Mathematics provides the opportunity to study the applications of mathematics in more detail. Decision Mathematics and Further Mechanics are covered.

Teaching and Learning Methods

Students will be taught by specialist teachers and experience a wide variety of lesson activities such as investigation, group tasks and individual study. Students are expected to complete frequent wider study tasks and are assessed on a regular basis.

Assessment

The course is assessed by four external exams at the end of Year 13.

Careers Insight

Further Mathematics A-level is an excellent precursor to a Mathematics or Physics degree and indeed may be a required subject at some universities for these courses. In addition past students have gone on to study Chemistry, Computer Science, Economics, Geography, Music amongst other subjects. The employment opportunities for mathematicians are many and varied, with graduates going on to work in most sectors including education, engineering and finance.

Student Testimonials

What our students have to say

‘Maths Schools The Government should commit to on-going core funding for Maths Schools and should “unpause” its decisions on opening new schools for Durham and Nottingham. To do otherwise risks damaging efforts to ensure more equitable access to mathematical science study at the highest levels in two of the UK’s most under-performing regions.’

Evidence presented by Lynne McClure OBE, when the AcadMathSci gave evidence in a House of Lords Science & Technology Committee session – April 2025.

Lynne McClure OBE

British Mathematics Educator

‘Does the Minister from DSIT agree that one of the best ways to enhance the study of mathematical sciences is to have further university-sponsored maths schools? There are now eight; I believe there are three more opening soon, but we could do more if the Government gave them some more money.’ Extract from the Hansard, The Duke of Wellington – April 2025.

The Duke Of Wellington

Member of the House of Lords

”I am delighted to learn of the work you are doing, particularly with Durham University, to break down barriers to entry into the most competitive institutions, unlocking opportunities for young people in and around the North East. Not to mention your plans for this year to provide more outreach activities with state schools across the region, developing their mathematical skills, understanding and outcomes.

This work is very important, and widening the participation in science technology, engineering and maths subjects for children and young people with special educational needs and disabilities, disadvantaged and under-represented students, aligns with the heart of our mission to break down barriers to opportunity and ensure every child has access to the best life chances.”

Catherine McKinnell MP

Minister for School Standards

“The specialist maths schools are exceptional. King’s Maths School and Exeter Maths School are top rated sixth forms, with amazing value added scores and Oxbridge entry. Government should commit to on-going core funding and “un-pause’ its decisions on new schools for Durham and Nottingham. XTX donates ~£1.5m annually to the Maths School Network for curriculum and outreach, but core funding is crucial”.

Alexander Gerko

CEO of XTX Markets

“Education is our collective investment in understanding the world and securing the future. Education is the great social and economic equalizer. It lowers the barriers to opportunity and drives social mobility and positive life outcomes. It offers everyone the chance to develop knowledge and learn skills to transform themselves and their communities. It helps us adapt to new demands and challenges.”

Dr Fiona Hill CMG

Chancellor of Durham University, defence advisor to the UK government and Senior Fellow at The Brookings Institution, Washington DC

“Communities in the North have a strong sense of place and purpose. For regional development to succeed, we need to develop and retain the talent of young people. Durham Mathematics School has a crucial part to play in that process.”

Dr Ed Twiddy

Co-founder of Atom Bank and former Director of the North East LEP