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Further Pure 2: groups, matrices and number theory flashcards

15 cards drawn from 12 lessons: 8 standard results, 5 definitions, 1 check-yourself question and 1 spot-the-error card. Axioms, eigen-machinery, Argand transformations and the modular arithmetic the second pure option adds. Rate each answer to set a shorter or longer interval before the card is due again.

Further Maths · all 271 maths cards

How the five kinds differ

Standard results ask for a formula or value that may need to be recalled. Definitions ask for a mathematical term to be stated precisely. Recall prompts ask for a rule, condition or method. Check yourself cards contain a short question and answer. Spot the error cards ask you to correct an inaccurate claim.

Every card in this deck

Click any card to try it in the player above; the card itself links the lesson that teaches it.

• groupDefine
• Lagrange's theoremDefine
• Reduction formulaResult
• Arc lengthResult
• Surface of revolutionResult
• EigenvaluesResult
• DiagonalisationResult
• Cayley-Hamilton theoremDefine
• Apollonius locusDefine
• InversionResult
• Fermat's little theoremResult
• Bézout's identityDefine
• Recurrence relationsResult
• The letters of BANANA can be arranged in 6! ways.Spot the error
• A group has order 8. Explain why it cannot contain an element of order 3.Check

The lessons these cards come from

• Arc length and surface area
• Combinatorics
• Diagonalisation and the Cayley-Hamilton theorem
• Eigenvalues and eigenvectors
• Further loci and regions in the Argand diagram
• Groups and their axioms
• Modular arithmetic and Fermat's little theorem
• Recurrence relations
• Reduction formulae
• Subgroups, Lagrange's theorem and isomorphism
• The Euclidean algorithm and Bézout's identity
• Transformations of the complex plane

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