# A Level Further Mathematics at Saint Gregory's Catholic College

## Course description

Maths at this level consists of the study of pure maths and the study of the application of mathematics to the physical world through:

- Statistics (understanding and interpreting information);
- Mechanics (understanding how and why physical objects move and behave as they do);
- Decision maths (uses discrete mathematics to construct mathematical models to arrive at an optimal solution to real life problems).

## Course content

AS Level:

Unit 1: Further Pure Maths. Series, complex numbers, numerical solution of equations, coordinate systems, matrix algebra, proof.

Unit 2: Mechanics 1. Vectors, kinematics of motion in a straight line, dynamics of a particle moving in a straight line or plane, statics of a particle, moments.

Unit 3: Decision Maths 1. Algorithms, algorithms on graphs, the route inspection problem, critical path analysis, linear programming, matchings.

A2 Level:

Unit 4: Further Pure Maths 2. Inequalities, series, first and second order differential equations, further complex numbers, Maclaurin and Taylor series.

Unit 5: Mechanics 2. Kinematics of a particle moving in a straight line or plans, centre of mass, work and energy, collisions, statics of rigid bodies.

Unit 6: Decision Maths 2. Transportation problems, allocation problems, the travelling salesman, game theory, further linear programming, dynamic programming, flows in networks. Please note that you are unable to take Further Mathematics unless you are also taking (or have previously taken) A Level Mathematics

## Entry requirements

Students will have at least an A grade in GCSE mathematics. They will need to be confident in the application of algebraic and other mathematical skills and have an interest in solving real life problems using these skills together with logical mathematical argument. Further Mathematics is required by many universities as a prerequisite to study mathematics at degree level. It is also useful for accounting, financial subjects, law, engineering and sciences.

## How to apply

If you want to apply for this course, you will need to contact Saint Gregory's Catholic College directly.