Further Maths
The A-level Further Mathematics course caters for students with a very good background in Mathematics who are competent in a range of analytical and technical skills. The majority of these students will be expecting to include Mathematics as a major component of their university studies, either as a subject in its own right or within courses such as Physics, Engineering and Technology. Others may take this course because they have a strong interest in Mathematics and enjoy meeting its challenges and engaging problems.
A-level Further Mathematics may only be taken in conjunction with A-level Mathematics. It is a demanding course, requiring students to study a broad range of mathematical topics to a considerable depth. The course is, therefore, only accessible to students who have achieved an A* at GCSE. A-level Further Mathematics requires the study of the following six modules:
Decision Mathematics 1
- Algorithms
- Graph Theory
- Networks
- Linear Programming
Further Pure Mathematics 1
- Summation of series
- Proof by induction
- Matrices
- Complex Numbers
- Roots of Polynomial Equations
Further Pure Mathematics 2
- Polar Coordinates
- Hyperbolic Functions
- Differentiation and Integration
- Numerical Order
Further Pure Mathematics 3
- Differential Equation
- Vectors
- Complex Numbers
- Groups
Probability and Statistics 2
- Continuous Random Variables
- The Normal Distribution
- The Poisson Distribution
- Sampling and Hypothesis Testing
Mechanics 2
- Centre of Mass
- Equilibrium of a rigid body
- Motion of a projectile
- Uniform motion in a circle
- Coefficient of Restitution and Impulse
- Energy work and power