Further Mathematics

Course summary

Why study Further Mathematics? Further mathematics is an extension of the A-Level mathematics course and you must take A-Level mathematics to be able complete further mathematics. Features of the course: Students will extend their algebra techniques by looking into topics such as complex numbers, matrices and alternative co-ordinate systems. In addition, students can study further mechanics or try out a very different type of mathematics called decision. Decision mathematics studies a range of algorithms, for example understanding how a satellite navigation system calculates a route using an algorithm. Further Pure Mathematics: Proof, complex numbers, matrices, further algebra and functions, further calculus, further vectors; polar coordinates, hyperbolic functions, differential equations, coordinate systems, further numerical methods, inequalities, groups, further calculus, further matrix algebra, further complex numbers, number theory, further sequences and series. Further Mechanics: Momentum and impulse, collisions, centres of mass, work and energy, elastic strings and springs, further kinematics, further dynamics, motion in a circle, statics of rigid bodies, elastic collisions in two dimensions. Decision Mathematics: Algorithms and graph theory, algorithms on graphs, algorithms on graphs II, critical path analysis, linear programming, transportation problems, allocation (assignment) problems, flows in networks, dynamic programming, game theory, recurrence relations, decision analysis.