A Level: Further Mathematics

What is Further Mathematics? The abstract science of number, quantity and space studied in its own right as Pure Mathematics or as applied to other disciplines such as physics, Engineering and statistics. Why study Further Mathematics? To develop the powers of logic, reasoning and problem solving beyond that of a single mathematics course.

Further Mathematics A level Specifications For first teaching Sept 2017– OCR (MEI)

We do not offer an AS level in Further Mathematics at St Paul’s for the new A levels, however, the AS course is exactly identical to the year 12 scheme of study. Currently in Further Maths, we major in Statistics and minor in Mechanics at St. Paul’s.

1 CORE PURE

A level AS level

AS and A level: Some pure topics from AS level Mathematics are studied in greater depth, while some new topics are introduced. Algebraic work with series is extended. The powerful technique of proof by induction is used in various contexts. Complex numbers are introduced, including their geometrical representation. Matrices are used to solve systems of equations and to explore transformations. Scalar products of vectors are applied to problems involving planes.

A level only: In addition to studying these topics in more depth, learners also applied vector methods to problems involving lines and planes and calculus techniques are extended, including the use of hyperbolic functions and polar coordinates, and culminate in the solution of differential equations.

2 MECHANICS

A level paper - AS paper 2

Mechanics minor

In this option, basic principles of forces and their moments, work and energy, impulse and momentum and centres of mass are used to model various situations. These include rigid bodies in equilibrium; particles moving under gravity, on a surface, in a circle, attached to springs; bodies colliding with direct or oblique impact.

3 STATISTICS

A level paper - AS paper

Statistics minor

In this option, situations are modelled by discrete random variables; the suitability of models is tested using chi-squared tests. Bivariate data are investigated, with tests for correlation and association and modelling using regression.

4 Modelling with Algorithms

Modelling with algorithms minor

In this option, what is an Algorithm and the effect of its complexity; Modelling with graphs and networks; Linear programming for finding optimised solutions; the simplex method is applied to a variety of problems.

Generic A-Level entry requirements, plus Mathematics GCSE grade 7 or above to study A level Maths AND A level Further Maths.

It is not possible to study A level Further Maths without studying A level Maths.

You could take this course to complement other advanced level courses or to prepare for the A2 in Further Mathematics, which could lead onto higher education in areas of Mathematics, related areas such as Engineering, Economics, Physics or more general higher education courses. With further training, you could go into a job related to Mathematics. The qualification will also help you developgeneral skills that many employers across lots of industries are looking for.