Mathematics (Further)

Course summary

Core 1 – Complex numbers, argand diagrams, series, roots of polynomials, volumes of revolution, matrices, linear transformations, proof by induction, vectors. Core 2 – Complex numbers, series, methods in calculus, volumes of revolution, polar coordinates, hyperbolic functions, methods in differential equations, modelling with differential equations. Pupils then take two optional units from: Further Mechanics 1 – Momentum and impulse, work, energy and power, elastic strings and springs, elastic collisions in one dimension, elastic collisions in two dimensions. Further Mechanics 2 – Circular motion, centres of mass of plane figures, further centres of mass, kinematics, dynamics. Further Statistics 1 – Discrete probability distributions, Poisson and Binomial distributions, Geometric and negative binomial distributions, hypothesis testing, central limit theorem, chi-squared tests, probability generating functions, quality of tests.