# Further Mathematics at The Joseph Rowntree School

## Course description

AS DECISION 1

This module makes use of modelling and algorithms to solve problems involving networks, linear programming and critical path analysis. Simulation is introduced as a modelling technique. These techniques are widely used with computers. You will look at a wide variety of problems and you will need a flexible approach. You will be expected to consider the success of your modelling and to appreciate the limitations of your solutions.

AS FURTHER PURE 1

In this module, you are expected to develop an understanding of the rigour and technical accuracy needed for more advanced study of mathematics. Imaginary and complex numbers and matrices are introduced and curve sketching and proof are taken further; the series for sums of integers and their squares and cubes are used and the relationships between the coefficients of a polynomial equation and its roots are explored.

AS STATISTICS 2

In this module, you will extend your ability to represent data to bivariate data. You will look at the ideas of correlation and regression for bivariate data. Two probability distributions are also introduced: the Poisson distribution and the Normal distribution. The chi squared test for a contingency table is used to test for association between two categorical variables.

A2 FURTHER PURE 2

This module builds on your knowledge of Pure Mathematics and associated techniques. It includes polar coordinates, inverse trigonometric functions, Maclaurin series, complex numbers and matrices. There are two optional topics: hyperbolic functions and investigation of curves.

A2 STATISTICS 3

In this module, you will be introduced to more advanced statistical ideas based on the foundation provided by Statistics 1 and Statistics 2. In particular, continuous random variables are introduced, and confidence intervals and a greater range of hypothesis tests are introduced, including t tests and the chi squared goodness of fit test. The Central Limit Theorem is used to extend the use of the Normal distribution to working with the mean of a large sample from any distribution.

A2 MECHANICS 3

This module builds on the work in Mechanics 1 and Mechanics 2. It looks at motion in a circle, Hooke’s law for elastic strings or springs and examples of Simple Harmonic Motion; it also introduces dimensional analysis for formulae in Mechanics. Centres of mass of more complicated shapes are found, using calculus.

A2 DECISION 1

This module makes use of modelling and algorithms in a variety of situations. It includes more advanced techniques for linear programming and solving problems in networks. Logic gates, truth tables and decision trees are introduced.

## Entry requirements

To be successful at A-Level, students need to achieve an average points score of 38, which is broadly equivalent to 5 GCSE grades A*-C

You need to have enjoyed maths at GCSE. Due to the nature of the course and the level of challenge posed, students would ideally have a grade A or A* in GCSE maths.

## How to apply

If you want to apply for this course, you will need to contact The Joseph Rowntree School directly.