A-Level

Further Mathematics

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Further Mathematics equations on a board
Further Mathematics

Entry Criteria

Maths GCSE

Grade 8

Careers

Maths is one of the best subjects to develop analytical, research and problem-solving skills. Maths supports the study of subjects like science, engineering, IT, economics and business. Studying maths alongside essay based subjects can also help keep your options open. Maths A-Level is a must for degrees in: physics, engineering, actuarial science, economics and, of course, maths (you may also need further maths). It is recommended, sometimes required for computer science, accounting, sciences, medicine/nursing, dentistry, business, finance, architecture, geology, psychology, and even philosophy at university. A-Level maths provides a firm foundation for all scientific, technical, engineering and mathematical careers and a  flying start for many others, the list is endless. 

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Course ID
Edexcel 9FM0
Faculty
Mathematics
Department
Mathematics
Level
A-Level
Head of Faculty
M. Zaman
Head of Department
M. Hassan
Availability
Currently Studied, Offered Next Academic Year (subject to enrolment numbers)
Further Mathematics

Course Overview

Evolve your mathematical skills with our A-Level in Further Mathematics! At Key Stage 5, we offer the Edexcel A-Level specification, which provides an in-depth exploration of advanced topics that will challenge and excite students who love maths. Through this course, you will not only build on everything you’ve learned in A-Level Mathematics but also discover entirely new areas, preparing you for a wide range of future pathways in STEM fields.

Throughout this rigorous course, there are three key areas, each designed to develop a deeper understanding and mastery of complex mathematical concepts:

  1. Core Pure Mathematics 1 and 2: Discover complex numbers, matrices, hyperbolic functions and polar coordinates. Learn more about algebra, functions, calculus, vectors and proof. This core study gives you a toolkit of powerful mathematical techniques to solve sophisticated problems and lays the foundation for further exploration in higher-level maths.
  2. Further Mechanics 1: This section takes concepts like momentum, impulse, work and energy to a whole new level. You will explore elastic strings, springs, and collisions in both one and two dimensions, gaining a comprehensive understanding of the principles that govern physical systems and preparing you for fields like physics and engineering.
  3. Decision Mathematics 1: Here, you’ll enter an entirely new area of mathematics. You will study algorithms, graphs, and networks, gaining practical skills in route inspections, linear programming, and critical path analysis. This branch is particularly exciting for students interested in the logic behind problem-solving and the mathematical processes that optimise real-world systems, such as computer science, logistics, and economics.

You will be assessed through examinations at the end of both Year 12 and Year 13, with each topic blending theoretical understanding with practical applications. Further Mathematics will enhance your analytical skills, critical thinking, and logical reasoning. It’s a fantastic qualification for anyone aiming for top universities, especially if you’re interested in studying mathematics, physics, engineering, or computer science. This A-Level is your gateway to a world where mathematics powers innovation and discovery. Are you ready to take on the challenge?

Course Content

Year 12

Term Unit of Work Assessment
Autumn 1 Momentum and Impulse
Algorithms
Complex Numbers
Argand Diagrams
Skills test and exam questions for each topic area.
Autumn 2 Work, Energy and Power
Graphs and Networks
Series
Roots of Polynomials
Skills test and exam questions for each topic area.
Spring 1 Elastic Strings and Springs
Algorithms on Graphs
Volumes of Revolution
Matrices
Skills test and exam questions for each topic area.
Spring 2 Elastics Collisions in one Dimension
Route Inspection
Linear Transformations
Skills test and exam questions for each topic area.
Summer 1 Elastic Collisions in two Dimensions
The Travelling Salesman Problem
Proof by Induction
Vectors
Skills test and exam questions for each topic area.
Summer 2 Linear Programming
Complex Numbers
Skills test and exam questions for each topic area.
Year 12 Exam.

 

Year 13

Term Unit of Work Assessment
Autumn 1 This Simplex Algorithm
Series
Methods in Calculus
Skills test and exam questions for each topic area.
Autumn 2 Critical Path Analysis
Volumes of Revolution
Polar Coordinates
Skills test and exam questions for each topic area.
Spring 1 Hyperbolic Functions
Methods in Differential Equations
Skills test and exam questions for each topic area.
January mock exams.
Spring 2 Modelling with Differential Equations End of unit assessment.
Summer 1 Revision.  
Summer 2 ‘A’ Level examination. ‘A’ Level examination.

 

Extended Learning

Year 12

Websites Read Visit or Watch Extra
MyMaths; Exam Solutions; Mr Barton Maths; Dr Frost Maths The Music of Primes;
Fermat’s Last Theorem;
The Man Who Knew
Infinity; How to Think
Like a Mathematician;
Finding Moonshine: a
Mathematician’s Journey
Through Symmetry.
Numberphile on YouTube;
Eddie Woo on YouTube;
Mindyourdecisions on
YouTube.
 

 

Year 13

Websites Read Visit or Watch Extra
MyMaths; Exam Solutions; Mr Barton Maths; Dr Frost Maths The Music of Primes;
Fermat’s Last Theorem;
The Man Who Knew
Infinity; How to Think
Like a Mathematician;
Finding Moonshine: a
Mathematician’s Journey
Through Symmetry.
Numberphile on YouTube;
Eddie Woo on YouTube;
Mindyourdecisions on
YouTube.