Core Pure Mathematics 1 and 2 are compulsory units and are learnt alongside Pure 1 and 2 in A level Mathematics. They include the new topics of proof, complex numbers, matrices, polar coordinates, hyperbolics and differential equations, as well as further work on algebra, functions, calculus and vectors. There is an element of choice for remaining 50% of the course which will be agreed with students nearer the time. Decision Mathematics 1 covers the application of Mathematics that does not feature in the A level and includes algorithms, graph theory, critical path analysis and linear programming. Building on statistics in the A level, Further Statistics 1 includes linear regression, discrete and continuous distributions, correlation and hypothesis testing. This could be extended with Further Statistics 2 which focuses mainly on combining random variables, estimation, confidence intervals and probability generating functions. Further Mechanics 1 develops the subject from A level by considering momentum, impulse, collisions, centres of mass, energy, elastic strings and springs. Further Mechanics 2 goes on to consider kinematics, dynamics, circular motions and rigid bodies. Further Pure 3 and 4 are the most challenging units that really extend and deepen knowledge and skills in relation to calculus, differential equations, coordinate systems, matrices, complex numbers, series, numerical methods and inequalities. There is also a chance to meet new topics that also occur at university in terms of number theory and groups. Whilst not essential for all Mathematics degrees, the top universities (including Oxford and Cambridge) strongly recommend the study of Further Mathematics. Studying Further Mathematics is definitely a significant advantage when embarking on a Mathematics degree as the course covers a lot of the first year of the degree course. Further Mathematics is also a particular advantage for students studying science and engineering at university. However, it is also a very interesting and exciting course in its own right and helps to develop skills that will enable students to think logically, analyse situations efficiently and make deductions from assumptions.In a nutshell ... A level Further Mathematics is fun, challenging and extremely valuable