Topic module: Further Pure 2 AS Edexcel

Identity and inverse elements

Binary operations

Definition

Lagrange’s theorem

Subgroups

Order of a group

Commutative groups

Different types of groups

What defines a group

The Cayley-Hamilton theorem

Reducing a symmetrical matrix to diagonal form

Eigenvalues and eigenvectors

Exam Questions – Loci in the complex plane

Exam Questions – Recurrence relations

Exam Questions – Divisibility and multiple tests

Exam Questions – Recurrence relationships

Using complex numbers to represent regions on an Argand diagram

The locus of a point moving on the arc of a circle

The locus of a point moving along a half-line

The locus of a point moving along a perpendicular bisector

The locus of a point moving in a circle

Recurrence relationship proofs

Divisibility and multiple test proofs

Definition and finding the nth term

Recurrence relationships