# Mathematics - Further Mathematics A-Level at Smestow School

## Course description

The course consists of six modules over two years in conjunction with studying A Level Mathematics. Some aspects follow on from those studied on the A Level course while others are new and distinct areas of Mathematics. The course covers a broad range of mathematical topics with modules of Further Pure Mathematics alongside applied modules in Statistics, Mechanics and Decision Mathematics.

## Course content

Year 12 Further Pure 1 : Algebra and graphs, Complex numbers, Roots and coefficients of quadratic equations, Series, Calculus, Numerical methods, Trigonometry, Matrices and transformations. Decision 1 : Simple ideas of algorithms, Graphs and networks, Spanning tree problems, Matching shortest paths in networks, Route inspection problem, Travelling sales person problem, Linear programming. Decision 2 : Allocation, Network flows, Critical path analysis, Dynamic programming, Linear programming, Game theory. Year 13 Further Pure 3 : Series and limits, polar coordinates, First and second order differential equations. Statistics 2 : Discrete random variables, Poisson distribution, Continuous random variables, Estimation, Hypothesis testing, Chi-squared contingency tables test. Mechanics 2 : Mathematical modelling, Moments and centres of mass, Kinematics, Newtonâ€™s Laws of motion, Applications of differential equations, Uniform circular motion, Work and energy.

## Entry requirements

Students must achieve a minimum of a grade A at GCSE, be studying A Level Mathematics, complete the summer project and pass the initial assessment at the start of the course.

## Assessment

Each module is externally assessed by a written examination. All examinations are calculator papers. If appropriate, the first three modules (FP1, D1 and D2) may be examined at the end of year 12. Any modules not examined in year 12 will be examined at the end of year 13.

## How to apply

If you want to apply for this course, you will need to contact Smestow School directly.