# Further Mathematics A Level at Lansdowne College

## Course description

It is a challenging qualification, which both extends and deepens studentsâ€™ knowledge and understanding beyond the standard A-Level Mathematics. Students who study it often say it is their favourite subject. It introduces new and/or more sophisticated mathematical concepts. As well as exploring new areas of pure mathematics, students study further applications of mathematics in mechanics, statistics and decision mathematics.

## Course content

AS:

Pure Mathematics FP1:

- Complex numbers
- Matrices
- Numerical solutions of equations
- Coordinate systems
- Series
- Proof by induction

Statistics S2:

- Probability distributions
- Continuous random variables
- Sampling
- Hypothesis testing

Decision Mathematics D1:

- Algorithms
- Critical path analysis
- Matchings
- Linear programming

Pure Mathematics FP2 and FP3:

- Inequalities
- Series
- Complex numbers
- Differential equations
- Maclaurin and Taylor series
- Polar coordinates
- Differentiation and integration of hyperbolic functions
- Vectors
- Matrix algebra

Mechanics M2:

- Kinematics
- Centre of mass
- Work and energy
- Collisions
- Statics of rigid bodies

Or

Decision Mathematics 2:

- Transportation and allocation problems
- Travelling salesman problem
- Linear programming
- Game theory
- Networks
- Dynamic programming

## Assessment

6 modules:

3 pure mathematics modules FP1, FP2 and FP3

3 applied modules from S2, M2, D1 or D2

## Future opportunities

Mathematics is a facilitating subject, which means that it helps students study many other subjects and pursue lots of different careers. Students planning to take a degree such as engineering, sciences, computing, finance/economics, or perhaps mathematics itself, can benefit enormously from taking Further Mathematics, at least to AS-Level. Further Mathematics introduces new topics such as matrices and complex numbers that are vital in many STEM degrees. Students who have studied Further Mathematics find the transition to such degrees far more straightforward.

## How to apply

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