Further Pure 2

Edexcel AS Level Further Pure 2.

Further Pure 2

Further Pure 2 topics

Groups

Binary Operations

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

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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

Further Matrix Algebra

Further matrix algebra

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

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

Further Sequences and Series

Working with Sequences and Series

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

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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