Further Mathematics is a well-established and highly regarded A Level accepted by all higher education establishments. Further Mathematics knowledge is fundamental for studying mathematics at university and desirable for any engineering, physics, chemistry or similar degrees.
The modules fall into the same four categories as the mathematics course, but extend concepts further.
In Pure Mathematics, the work is mostly of an abstract nature. The course extends the knowledge gained at GCSE level in algebra, geometry and trigonometry. New branches of mathematics are introduced including the study of sequences and series, natural logarithms, complex numbers and, most importantly, calculus, which is fundamental to many parts of the A level course.
Mechanics is the study of the physical behaviour of objects. There are two main branches: dynamics and statics. Dynamics is concerned with moving objects and is mostly based on Newton’s laws of motion. Statics is the study of the behaviour of stationary objects and the forces required to maintain equilibrium.
This course is concerned with the mathematics of risk taking and decision making. Further work is done on data handling and probability theory. This is extended to the study of special probability distributions, such as normal, binomial and Poisson.
This course consists mainly of applying various algorithms to real world optimisation problems, such as finding the minimum length of cable necessary to connect a network of towns or finding the maximum traffic flow through a network of streets. The course title comes literally from the need to keep making decisions in applying the procedures.