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Further Mathematics A Level at Aston University Engineering Academy

Course description

Why study Further Mathematics?

Mathematics is a fundamental subject that is essential for many Science and Engineering disciplines and applications. Further Mathematics extends to introduce more complex and interesting topics such as complex numbers and matrices, which have a very important role to play in Engineering particularly. Having a deep and strong understanding of these materials will allow you to access and see the beauty and power of the mathematics and its use as a tool to solve more complex problems that occur in the world around us.

What makes us different at AUEA Further Mathematics?

The course is tailored to suit your needs, we can choose alternative modules that suit your career path. We have the entire course along with everything you need to revise on our Firefly page which you will gain access to once you commence the course. There are opportunities along the course to go on trips to Masterclasses, lectures as well as applying to become a peer mentor for students in the lower years. The Mathematics Curriculum Area have dedicated and knowledgeable staff who specialise in Further Mathematics ready to guide and support you through the entire course.

What are the aims of the course?

1. Further develop a deeper understanding of the mathematical processes that will be used to solve problems and foster confidence and enjoyment.

2. Further extend their range of mathematical skills and techniques and use them in more difficult, complex and unstructured problems

3. Experience the beauty in the mechanics of mathematics and ‘how things just fit together’.

4. Recognise where mathematics is a tool to help understand processes in other subjects such as Science, Engineering and Art.

5. Recognise how a situation may be represented mathematically and understand the relationship between real world problems and other mathematical models and how these can be refined and improved;

6. Acquire the skills needed to use technology such as calculators, iPads and computers effectively, to recognise when such use may be inappropriate and to be aware of limitations.

7. Develop an awareness of the relevance of mathematics to other fields of study, to the world of work and to society in general

8. Take an increasing responsibility for their own learning and the evaluation of their own mathematical development.

Course Modules

Year 12 AS Further Mathematics Modules

  • Further Pure Mathematics 1 
  • Decision Mathematics 1 
  • Statistics 2    

Year 13 A2 Further Mathematics Modules

  • Further Pure Mathematics 3 
  • Decision Mathematics 2 
  • Mechanics 2    

These modules are tailored to meet the student's needs. We can choose other modules depending on your chosen career path.



Course content

AS Further Mathematics Module Content

Further Pure Mathematics 1 

  • Complex numbers
  • Numerical solution of equations
  • Coordinate systems
  • Matrix Algebra
  • Series Proof

Decision Mathematics 1

  • Algorithms Algorithms on graphs
  • The route inspection problem
  • Critical path analysis
  • Linear programming
  • Matchings

Statistics 2

  • The Binomial and Poisson distributions
  • Continuous random variables
  • Continuous distributions
  • Hypothesis tests

A2 Further Mathematics Module Content

Further Pure Mathematics 3

  • Hyperbolic functions
  • Further Coordinate Systems
  • Differentiation
  • Vectors
  • Further Matrix Algebra

Decision Mathematics 2

  • Transportation problems
  • Allocation (assignment) problems
  • The travelling salesman problem
  • Further linear programming
  • Game theory
  • Flows in networks
  • Dynamic programming

Mechanics 2

  • Kinematics of a particle moving in a straight line or plane
  • Centres of mass
  • Work and energy
  • Collisions
  • Statics of rigid bodies


Entry requirements

Minimum of Grade A in GCSE Mathematics.


Assessment Method & Weighting

Year 12 AS Further Mathematics Modules

  • Further Pure Mathematics 1 1 Written Calculator Paper 33.3% of AS 16.67% of A2
  • Decision Mathematics 1 1 Written Calculator Paper 33.3% of AS 16.67% of A2  
  • Statistics 2 1 Written Calculator Paper 33.3% of AS 16.67% of A2    

Year 13 A2 Further Mathematics Modules

  • Further Pure Mathematics 3 1 Written Calculator Paper 33.3% of AS 16.67% of A2
  • Decision Mathematics 2 1 Written Calculator Paper 33.3% of AS 16.67% of A2      
  • Mechanics 2 1 Written Calculator Paper 33.3% of AS 16.67% of A2      


Future opportunities


Degree in Mathematics, Sciences, Engineering, Architecture, Accountancy, Project Management, Medicine, Dentistry, Optometry, Sports Science.

These degrees will lead to corresponding careers and financially rewarding career opportunities.

Further information

If you require further information on any aspect of the course you should contact the following:

Miss Zara Loi

Curriculum Area Leader – Mathematics

Aston University Engineering Academy

1 Lister Street, Birmingham B7 4AG

0121 380 0570   ext 1014

How to apply

If you want to apply for this course, you will need to contact Aston University Engineering Academy directly.

Last updated date: 08 November 2016
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Key information


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    • We are the first major university sponsored University Technical College in the country, combining the very best education for academic and technical skills, in our state of the art building in the heart of the city of Birmingham, next to the Aston University campus.

      At Aston University Engineering Academy, we have a unique focus on engineering and science that we enhance through our strong links with local and national industrial partners. Working in partnership enables us to deliver an exciting and relevant engineering and science focused curriculum. It also enables work-based experience for all our students as well as a pool of mentors and role models to support and enhance the academic curriculum.

       "Engineering and science excellence for 14-19 year olds in Birmingham."