Edexcel Further Pure 2 A-Level Maths

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

Contents

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

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Isomorphism

  1. Isomorphism of groups

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Further Calculus

Deriving and using reduction formulae

  1. Deriving and using reduction formulae

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Applications of Integration – Arcs

  1. Length of an arc

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Applications of Integration – Surface area of revolution

  1. Area of surface of revolution about the x-axis

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Further Matrix Algebra

Further matrix algebra

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

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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

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Transformations of the Complex Plane

  1. Transformations of the complex plane
  2. Further transformations
  3. Exam Questions - Transformations of the complex plane

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Number Theory

Still to produce the following: Division Rule, Bezout’s identity, Modular arithmetic, Fermat’s Little Theorem, Divisibility tests, Solution of congruence tests

Permutations and Combinations

  1. Permutations of n different items
  2. Permutations of r items from n different items
  3. Permutations of repeated letters in a word
  4. Permutations with restrictions: letters / items together
  5. Permutations with restrictions : items at the ends
  6. Permutations with restrictions : items must not be together
  7. Combinations of n different items
  8. Combining combinations

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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

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Past Papers

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

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