# Further Mathematics (A Level) (OCR) at Wilson's School

## Course description

The Further Mathematics course is broader and deeper than A-level mathematics and introduces new mathematical concepts that have wide applications in engineering, physical sciences, economics and computing. The Pure Core provides the foundations for further mathematical study onto which learners add Statistics and Mechanics. It is a fantastic preparation for university courses with a large mathematical content such as Engineering, Economics, Physics and other science degrees.

## Course content

Lower Sixth units:

- Pure Core (Proof, complex numbers, matrices, further vectors, further algebra)
- Statistics (Permutations and combination, discrete random variables, chi-squared tests, non-parametric tests, correlation, linear regression)
- Mechanics (Dimensional analysis, work, energy and power, impulse and momentum, centre of mass, motion in a circle)

Upper Sixth units:

- Pure Core (Proof, complex numbers, exponential form, Euler's formula, De Moivre's Theorem, further geometric problems, matrices, consistent and inconsistent solutions, further vectors, equation of a plane and intersections, shortest distance between lines, further algebra, further partial fractions, summing series, hyperbolic functions, sketching inverses, differentiation and integration, further calculus, Malcaurin series, improper integrals, volumes of revolution, mean values, further integration, polar coordinates, second order differential equations, simple harmonic union, damped oscillations, linear systems)
- Statistics (Continuous random variables, linear combinations of random variables, hypothesis tests and confidence intervals, Wilcoxian rank sum test)
- Mechanics (Work, energy and power, work done and power using variable force, use of scalar product, elastic strings and springs, impulse and momentum, Lamina and rigid bodies, further dynamics and kinematics)

## Entry requirements

A minimum grade 8 in GCSE Mathematics.

## Assessment

AS Level examinations are taken at the end of the Lower Sixth year, assessing the topics covered in this year.

A Level examinations are taken at the end of the Upper Sixth year, assessing the topics covered in both years of study.

## Future opportunities

This course provides an excellent preparation for any degree course with a substantial mathematical content and completing such a challenging course sets students apart from the crowd in university applications. The best Mathematics, Economics, Engineering and Physics university departments are looking for students who have studied Further Mathematics at either AS or A-level.

## How to apply

If you want to apply for this course, you will need to contact Wilson's School directly.