What could this course lead to?
Further Mathematics will appeal to students with a strong mathematical bent who intend to study Mathematics or a closely related discipline (e.g. engineering, computing, physics) at university.
Because of the challenging nature of the course the minimum entry requirement is grade 8, with a 7 considered in exceptional circumstances. Further Mathematics at A Level is a very challenging subject for almost all students. Please be aware that even students who have gained a 9 at GCSE may find the subject difficult. Ask your Maths teacher for advice about your suitability for this course.
What will I be studying?
The course may only be taken with A Level Mathematics so together they occupy two subject choices. Further Maths extends many of the ideas in the Maths course and opens up several new lines of study such as Complex Numbers and Matrices. At the end of studying the two courses you will be equipped with a broad yet detailed set of analytical skills ready for a wide range of university courses.
- Pure topics – Proof, Complex numbers, Matrices, Further Algebra and Functions, Further Calculus, Further Vectors, Polar coordinates, Hyperbolic functions, Differential equations, Trigonometry, Coordinate geometry.
- Statistics – Discrete and Continuous Random Variables, Poisson Distribution, Type I +II Errors, Chi Squared Tests, Exponential and t-distributions.
- Mechanics – Dimensions, Momentum, Work, Energy and Power, Circular Motion, Centre of Mass and Moments.
- Discrete – Graph Theory, Networks and Flow, Linear Programming, Critical Path Analysis, Game Theory, Binary Operations and Group Theory.
The course is planned in a way to allow for AS entry at the end of Year 12 in consultation with teachers.
Are there any trips or extracurricular activities linked to this course?
Trips to hear speakers are organised, as well as the opportunity to participate in Mathematics competitions. Details can be sought via the Head of Mathematics Faculty.
What benefits does this subject have for university entrance?
The course is excellent at developing clear mathematical thinking, good mathematical style and forming firm foundations for university study. It is highly regarded as a measure of intellectual ability.
What skills or learning approach do I need for this subject?
Mathematics is predominantly a skill based subject requiring consistent practice of the key techniques. Therefore you need to enjoy the subject sufficiently that you are prepared to keep working at it even when it gets difficult.
How is it examined?
AS Examinations – 2 papers, equally weighted:
Paper 1 – Core topics only,
Paper 2 – 2 out of 3 of Mechanics, Statistics or Discrete.
A2 Examinations – 3 papers, equally weighted:
Paper 1 and 2 – Core topics only,
Paper 3 – 2 out of 3 of Mechanics, Statistics or Discrete.
Will I need to do coursework?
What syllabus do you follow?
Examination method: Written exam.