Why study Further Mathematics?
Further Mathematics builds on the foundations created through following the A-Level Mathematics course. The study of a second A Level in mathematics provides the opportunity to significantly enhance the skills of analysis and mathematical reasoning. This leads not only to the acquisition of a body of knowledge that forms a bridge to any mathematically related degree course, but also establishes the rigour of logical argument that is essential for success in many other disciplines at university level.
Background needed
It is essential that students studying this course have a considerable interest and appreciation for mathematics, together with a proven aptitude for the subject. They should be conversant with all aspects of the Higher Tier GCSE course, which needs to be reflected by a grade A or A*.
AS Course content
During the first year of study there is a strong interdependence with the A Level Mathematics course. Students cover the second applications module of the Mathematics course together with modules in Further Mathematics and Decision Mathematics. The module in Decision Mathematics considers strategies for the most efficient solution of real life problems, such as the shortest route between two points in a network. This requires the application of standard algorithms, which are ideally suited to use with computers.
A2 Course content
The second year of the course largely focuses on Pure Mathematics and Mechanics. The Pure Mathematics Modules FP1 and FP2 lead to a significant expansion in the applications of Calculus, including the methods of solution for a variety of differential equations. Students are also introduced to a range of topics not encountered in the A Level Mathematics course. Prominent amongst these are Complex Numbers and Linear Transformations, the latter of which requires the development of Matrix Algebra.
The study of Mechanics is extended to include modules M2 and M3. Major developments covered will include motion in horizontal and vertical circles and Simple Harmonic Motion.
Assessment
Assessment is based entirely on terminal module examinations
Opportunities for enrichment Students are invited to participate in the UK Senior Maths Challenge, which is held in November each year. An exceptional performance provides access to further rounds of the competition, culminating in the International Olympiad.
What the students say
“Further Maths gave me the confidence and inspiration to take on Maths at university.”
Contact for further information: Miss S Freestone, Head of Faculty
Maiden Erlegh Sixth Form 27
Further Mathematics
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