# Further Mathematics A Level at The Coopers' Company and Coborn School

## Course description

The further maths course contains additional pure, mechanics and statistics topics but also has the option of studying decision maths. Where maths is such a broad subject, the two A levels have been created and further maths is currently the fastest growing A level.

## Course content

Further Pure Mathematics 1: Proof, Complex numbers, Matrices, Further algebra and functions, Further calculus, Further vectors

Further Pure Mathematics 2: Complex numbers, Further algebra and functions, Further calculus, Polar coordinates, Hyperbolic functions, Differential equations

Further Pure Mathematics 3: Further calculus, Further differential equations, Coordinate systems, Further vectors, Further numerical methods, Inequalities

Further Pure Mathematics 4: Groups, Further calculus, Further matrix algebra, Further complex numbers, Number theory, Further sequences and series

Further Statistics 1: Linear regression, Statistical distributions (discrete), Statistical distributions (continuous), Correlation, Hypothesis testing, Chi squared tests

Further Statistics 2: Probability distributions, Combinations of random variables, Estimation, Confidence intervals and tests using a normal distribution, Other hypothesis tests and confidence intervals, Probability generating functions, Quality of tests and estimators

Further Mechanics 1: Momentum and impulse, Collisions, Centres of mass, Work and energy, Elastic strings and springs

Further Mechanics 2: Further kinematics, Further dynamics, Motion in a circle, Statics of rigid bodies, Elastic collisions in two dimensions

Decision Mathematics 1: Algorithms and graph theory, Algorithms on graphs, Algorithms on graphs II, Critical path analysis, Linear programming

Decision Mathematics 2: Transportation problems, Allocation (assignment) problems, Flows in networks, Dynamic programming, Game theory, Recurrence relations, Decision analysis

## Entry requirements

Grade 7 in GCSE Maths at a minimum. An 8 or 9 would be preferable. Students who are looking to study further maths must select both maths and further maths in their application.

## Assessment

A level Further:

Paper 1 – Further Pure 1: 1.5 hours, 75 marks

Paper 2 – Further Pure 2: 1.5 hours, 75 marks

Paper 3 – Optional module: 1.5 hours, 75 marks

Paper 4 – Optional module: 1.5 hours, 75 marks

(Optional modules include Further Pure 3, Further Pure 4, Further Statistics, Further Mechanics or Decision Maths. Students will be able to choose relevant optional modules for their degree)

## Future opportunities

Further maths has become essential for any student who wishes to study mathematics at university. More and more university courses will only consider applicants who have studied further maths for degrees in not only mathematics but physics and engineering too. It is a very difficult A level and often results in universities offering lower offers to students who have completed further maths.

## Further information

Applying to study mathematics and further mathematics is a big commitment and should only be considered if there is a thorough enjoyment for mathematics and a desire for a STEM career. Students often combine further maths with physics for a physics based degree, economics for a finance degree or career or computer science.

## How to apply

If you want to apply for this course, you will need to contact The Coopers' Company and Coborn School directly.