Further Maths

Course summary

Why study Further Mathematics? Potential for joint university courses, graduate prospects, transferable skills and salary advantage. What will you study? Paper 1 Core Pure Mathematics 1: proof, complex numbers, matrices, further algebra and functions, further calculus, further vectors, polar coordinates, hyperbolic functions, differential equations. Paper 2 Core Pure Mathematics 2: proof, complex numbers, matrices, further algebra and functions, further calculus, further vectors, polar coordinates, hyperbolic functions, differential equations. Paper 3 Further Mathematics Option 1 (one of the following four options) 3A Further Pure Mathematics 1: further trigonometry, further calculus, further differential equations, coordinate systems, further vectors, further numerical methods and inequalities. 3B 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. 3C Further Mechanics 1: momentum and impulse, work, energy and power, elastic strings and springs and elastic energy, elastic collisions in one dimension, elastic collisions in two dimensions. 3D Decision Mathematics 1: algorithms and graph theory, algorithms on graphs I and II, critical path analysis and linear programming. Paper 4A Further Pure Mathematics 2: groups, further calculus, further matrix algebra, further complex numbers, number theory, further matrix algebra, further complex numbers, number theory, further sequences and series. Paper 4B Further Statistics 2: linear regression, continuous probability distributions, correlation, combinations of random variables, estimation, confidence intervals and tests using a normal distribution, other hypothesis tests and confidence intervals, confidence intervals and tests using the t-distribution. Paper 4C Further Mechanics 2: motion in a circle, centres of mass of plane figures, further centres of mass, further dynamics, further kinematics. Paper 4D Decision Mathematics 2: transportation problems, allocation (assignment) problems, flows in networks, dynamic programming, game theory, recurrence relations, decision analysis. What will Further Mathematics offer you in the future? A broad mathematical knowledge and secure technical ability to progress a broad range of career options, leading to 5% to 10% higher salaries than the mean for all graduates.