Further Mathematics

Course summary

Course content: Core Pure Mathematics (Y12/13) Complex numbers, Argand diagrams, series, roots of polynomials, volumes of revolution, matrices, linear transformations, proof by induction, vectors Complex numbers, series, methods in calculus, volumes of revolution, polar coordinates, hyperbolic functions, methods in differential equations, modelling with differential equations Further Mechanics (Y12/13) Momentum and impulse, work, energy and power, elastic collisions in one dimension Elastic strings and springs, elastic collisions in two dimensions. Decision Mathematics (Y12/13) Algorithms, graphs and networks, algorithms on graphs, route inspection, linear programming, critical path analysis Travelling salesman problem, simplex algorithm Why choose this course? • This course will be essential for anyone considering a degree with a mathematical component. A qualification in further mathematics is regarded very highly by all universities. • This course will foster enjoyment and provide a foundation for further study. It will extend your range of mathematical skills and techniques and help you understand how different areas of mathematics are connected. • You will construct mathematical proofs and solve problems in familiar or unfamiliar contexts. You will gain the ability to interpret solutions and communicate your interpretation correctly. • Further Mathematics is accessible to students who have an interest in a deeper understanding of mathematics.