Pure Maths can be thought of as the heart of mathematics. It consists of the core aspects of maths before any application to the real world. There are many extensive topics in Pure Maths but before any student can explore these, they must learn the basics at A-Level. The Pure Maths elements of both the AS and the A-Level in Mathematics consist of the following topic areas:
Proof, Algebra & Functions, Coordinate Geometry, Sequences & Series, Trigonometry, Exponentials & Logarithms, Differentiation, Integration, Vectors
The Edexcel Specification gives a long list of expected criteria. In general, there is a larger emphasis on the deeper understanding of pure maths and its applications. This means that students will be required to use a high level of reasoning. This means that they must be able to justify with logic and recognise incorrect reasoning. Skills include being able to generalise mathematically and constructing mathematical proof. Students must be able to select a strategy for challenging problems and use diagrams to explore mathematical scenarios where appropriate. Effective communication of interpretation of solution will be required.