Mathematics (Further)

Course summary

This course is highly regarded by Universities and some will consider reduced grade offers for Further Mathematics, reflecting the difficulty of the option. Some Universities require Further Mathematics to study Mathematics and it is especially useful for students wishing to study Mathematics, Mathematics related courses, Engineering or Sciences. Overview of topics: • Further proof including by induction Complex numbers • Matrices and matrix transformations Roots of polynomials • Rational functions Polar coordinates Hyperbolic functions Further calculus • Ellipses, parabolas and hyperbolas Maclaurin series and limits • Poisson and continuous distributions Confidence intervals • Chi-squared tests • Work, energy and power Dimensional analysis Momentum and collisions Circular motion • Centres of mass • This is in addition to studying all of the A2 Mathematics content in year 1 Students are encouraged to: • Further develop their understanding of mathematics and mathematical processes in a way that deepens knowledge and nurtures a fascination for range of topics. • Further develop their abilities to reason logically and recognise incorrect reasoning, to generalise and to construct rigorous mathematical proofs. • Further extend their range of mathematical skills and techniques and use them in more difficult, unstructured problems, incorporating a broad range of areas. • Recognise how a situation may be represented mathematically and understand the relationship between ‘real world’ problems and mathematical models. • Acquire the skills needed to use technology such as calculators and computers effectively, recognise when such use may be inappropriate and be aware of limitations.