Why study A Level Further Mathematics?
Mathematics provides the foundations for everything we use in our lives on a daily basis. From using prime numbers for securing financial transactions on the internet to the logistical complications of timetabling our train networks to the mathematics of 4-D ultrasound scans during pregnancy. Further Mathematics takes your study of the subject beyond the requirements of the Mathematics course and gives a much wider range of content and higher degree of difficulty.
Universities hold this qualification in high regard and some universities adjust their entry requirements based on whether one of the A Levels is Further Mathematics. Having Further Mathematics on a CV is something that will distinguish you from others as a gifted Mathematician.
How will I be assessed?
Further Mathematics is assessed purely by examination at the end of the course.
Four exams of 1½ hours each:
The first two papers will assess Core Maths and the second two options selected from Further Pure, Mechanics or Decision Maths.
Prerequisites
Further Mathematics is a demanding course that is suitable only for the most able Mathematicians; it is therefore required that you have Grade 8 or 9 in Mathematics at GCSE level. In order to take A Level Further Mathematics you must also be taking A Level Mathematics It is advised that A Level Further Mathematics is taken as one of four A Level subjects.
What will I study?
Core Pure 1 and 2:
- Proof
- Complex Numbers
- Matrices
- Further Calculus
- Further Algebra
- Polar Coordinates
- Differential Equations
- Hyperbolic Functions
- Further Vectors
- Series
Mechanics:
- Dimensional Analysis
- Work Energy and Power
- Impulse and Momentum
- Centre of Mass
- Motion in a Circle
- Further Dynamics and Kinematics
Decision:
- Graphics and Networks
- Algorithms (including Network, Simplex)
- Decision Making in Project Management
- Graphical Linear Programming
- Game Theory
Further Pure:
- Sequence and Series
- Number Theory
- Groups
- Further Vectors
- Surfaces
- Partial Differentiation
- Further Calculus