# Further Mathematics A Level at Liverpool College

## Course description

Further Mathematics is an impressive A Level to achieve and is a must for those considering a degree in Mathematics or completing an Engineering course in one of the top universities. It goes into more depth than A Level Mathematics and deals with more complex ideas. Further Mathematics can only be completed if taken alongside the A Level Mathematics. Six modules are taught. Pupils have to study Further Pure Mathematics 1 and 2. The other four modules chosen are at the discretion of the faculty and details follow below.

## Course content

Year 12

Further Pure Mathematics 1 Inequalities; series; complex numbers; numerical solution of equations; first order differential equations; second order differential equations; polar coordinates.

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Time 1 hour 30 minutes

Discrete Mathematics 1 Algorithms; algorithms on graphs; the route inspection problem; critical path analysis; linear programming; matchings; flows in networks. Examination Calculator

Time 1 hour 30 minutes

Discrete Mathematics 2 Travelling salesman problem, network flow, transportation algorithm, Allocation, Linear Programming, game theory, dynamic programming Examination Calculator

Time 1 hour 30 minutes

Year 13

Further Pure Mathematics 2 Coordinate systems; hyperbolic functions; differentiation; integration.

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Time 1 hour 30 minutes

Further Pure Mathematics 3 Complex numbers; matrix algebra; vectors; Maclaurin and Taylor series; numerical methods; proof. Examination Calculator

Time 1 hour 30 minutes

Mechanics 2 Kinematics of a particle moving in a straight line or plane; centres of mass; work and energy; collisions; statics of rigid bodies

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Time 1 hour 30 minutes

## How to apply

If you want to apply for this course, you will need to contact Liverpool College directly.