Edexcel Further Pure 2 AS Maths

Outlined below are the topics covered for Edexcel Further Pure 2 AS maths course

It is advisable to check the official Edexcel Further Pure 2 AS Maths specification in case of any changes.

Contents

Groups

Binary Operations

  1. Definition
  2. Binary operations
  3. Identity and inverse elements

Up to Contents

Groups

  1. What defines a group
  2. Different types of groups
  3. Commutative groups
  4. Order of a group
  5. Subgroups
  6. Lagrange’s theorem

Up to Contents

Further Matrix Algebra

Further matrix algebra

  1. Eigenvalues and eigenvectors
  2. Reducing a symmetrical matrix to diagonal form
  3. The Cayley-Hamilton theorem

Up to Contents

Further Complex Numbers

Loci in the Complex Plane

  1. The locus of a point moving in a circle
  2. The locus of a point moving along a perpendicular bisector
  3. The locus of a point moving along a half-line
  4. The locus of a point moving on the arc of a circle
  5. Using complex numbers to represent regions on an Argand diagram
  6. Exam Questions - Loci in the complex plane

Up to Contents

Number Theory

Still to produce the following: Division Rule, Bezout’s identity, Modular arithmetic, Divisibility tests

Up to Contents

Further Sequences and Series

Working with Sequences and Series

  1. Definition and finding the nth term
  2. Recurrence relationships
  3. Exam Questions - Recurrence relationships

Up to Contents

Various Types of Proofs

  1. Divisibility and multiple test proofs
  2. Exam Questions - Divisibility and multiple tests
  3. Recurrence relationship proofs
  4. Exam Questions - Recurrence relations

Up to Contents

Past Papers

For further revision and practice I have past papers, some with worked solutions – Check them out.

Up to Contents