# Further Mathematics A level at Easthampstead Park Community School

## Course description

The modules you take for Further Mathematics will complement the A-Level Mathematics syllabus giving you a broader knowledge base for higher education courses. It will enable you to combine your knowledge from all modules creatively. It is highly regarded by universities and employers.

Some universities such as Oxford, Cambridge and Warwick require candidates to have studied Further Mathematics if they are applying for a mathematical degree course.

## Course content

You will study six further modules on top of the A-Level. One third of the course is pure mathematics. We study FP1 and FP3 as these run in parallel with your core A-Level studies.Two thirds of the course is applied mathematics, of which half will be Decision and half either Mechanics or Statistics dependent on your A-Level options.

Further Pure 1&3

1.       Algebra and Graphs, Complex Numbers, Roots and Coefficients of a quadratic equation, Series, Calculus, Numerical Methods, Trigonometry, Matrices and Transformations

2.       Series and Limits, Polar Coordinates, Differential Equations – First Order, Differential Equations – Second Order

Decision 1&2

1.       Simple Ideas of Algorithms, Graphs and Networks, Spanning Tree Problems, Matchings Shortest Paths in Networks, Route Inspection Problem, Travelling Salesperson Problem, Linear Programming, Mathematical Modelling

2.    Critical Path Analysis, Allocation, Dynamic Programming, Network Flows, Linear Programming, Game Theory for Zero Sum Games, Mathematical Modelling

Mechanics 1&2

1.       Mathematical Modelling, Kinematics in One and Two Dimensions, Statics and Forces, Momentum, Newton’s Laws of Motion, Connected Particle,s Projectiles

2.       Mathematical Modelling, Moments and Centres of Mass, Kinematics, Newton’s Laws of Motion, Application of Differential Equations, Uniform Circular Motion, Work and Energy, Vertical Circular Motion

Statistics 1&2

1.       Numerical Measures, Probability, Binomial Distribution, Normal Distribution, Estimation, Correlation and Regression,

2.       Discrete Random Variables, Poisson Distribution, Continuous Random Variables, Estimation, Hypothesis Testing, Chi-Squared Contingency Table Tests

## Assessment

Further Mathematics is assessed by three modular exams at the end of Y12 and a further three at the end of Y13. All exams take place in May and June. There is no coursework.

Each module is worth one sixth of the overall grade. The exam board will combine your  A-Level and Further Maths modules in a way that ensures you get the best A-Level grade before they consider your Further Maths grade.

We regularly test students every term using past exam papers. Students are expected to achieve at least 60% (approximately grade C) to pass.  Resits will be available but students who continually fail these tests are in danger of jeopardising their place on the course.

## Future opportunities

Mathematics graduates have jobs in accounting and finance, business, medicine, engineering, forensic science, teaching, research, IT, programming, Web and games development, forecasting, design and construction, space sciences and many other disciplines.

According to the Russell Group (who represent the UK’s best 24 universities), “Maths is a 'facilitating subject', which means that it will help you to study lots of other subjects and pursue lots of different careers”. Mathematics teaches you how to think; employers like that! It opens a lot of doors, people with Maths degrees can usually walk into any profession they want.

## How to apply

If you want to apply for this course, you will need to contact Easthampstead Park Community School directly.

Last updated date: 14 September 2016

## Key information

• Start date: Next September