# Further Maths at Holcombe Grammar School

## Course description

Combinations leading to an award in Advanced GCE Further Mathematics are as follows: Further Mathematics units FP1, FP2, FP3 and a further three applications units (excluding C1-C4) to make a total of six units; or FP1, either FP2, or FP3 and a further four applications units (excluding C1-C4) to make a total of six units. Students who are awarded certificates in both Advanced GCE Mathematics and Advanced GCSE Further Mathematics must use unit results from 12 different teaching modules.

## Course content

FP1 content: series; complex numbers; numerical solution of equations; co-ordinate systems; matrix algebra and proof. FP2 content: inequalities; series; first order differential equations; second order differential equations; further complex numbers; Maclaurin and Taylor series. FP3 content: further matrix algebra; vectors; hyperbolic functions; differentiation; integrations and further co-ordinate systems. For other possible applications modules, please refer to Mathematics with Mechanics and Mathematics with Statistics. Also, in Decision Mathematics D1 content: algorithms; algorithms on graphs; the route inspection problem; critical path analysis; linear programming and matchings. D2 content: Transportation problems; allocations (assignment) problems; the travelling salesman; game theory; further linear programming; dynamic programming and flows in networks.

## Assessment

All examination papers last 1 hour 30 minutes and have 75 marks. C1 is a non-calculator paper: for all other unit examinations, calculators can be used. Skills assessed are to: use mathematical knowledge and techniques in a range of contexts; construct rigorous mathematical arguments and proofs; use mathematical models to represent situations in the real world; make predictions, comment on context; use a calculator, formula booklet or statistics table efficiently; understand the limitations of the techniques applied, giving answers to an appropriate degree of accuracy.

## Future opportunities

A qualification in Further Mathematics is an advantage for careers in many branches of science, technology and engineering and will also support courses in areas such as Economics or Business and Finance. Further Mathematics is a clear indication of a personâ€™s ability to think logically and systematically, solve complex, often abstract problems and to analyse and make sense of large quantities of complex information. This is an outstanding qualification, which is an indication to prospective employers, of higher level thinking skills.

## How to apply

If you want to apply for this course, you will need to contact Holcombe Grammar School directly.