# 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

**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

**CAREER PATHWAYS**

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.