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Further Maths: core results flashcards

19 cards drawn from 14 lessons: 11 standard results and 8 recall prompts. The results a Core Pure paper expects on demand, from De Moivre to the auxiliary equation. 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.

• State how to divide by a complex numberRecall
• State which matrix acts first in a productRecall
• De Moivre's theoremResult
• Multiplying complex numbersResult
• State the conjugate root theorem and what it is forRecall
• State where the nth roots of a non-zero complex number sitRecall
• 2 × 2 determinant and inverseResult
• State what the determinant of a transformation matrix measuresRecall
• Cubic root relationsResult
• State how to sum a series that does not start at r = 1Recall
• State the two ways to get a Maclaurin seriesRecall
• Volume of revolutionResult
• cosh in terms of eResult
• Hyperbolic identityResult
• Logarithmic formResult
• Polar areaResult
• Integrating factorResult
• Second order equationsResult
• State which particular integral to tryRecall

The lessons these cards come from

• Areas with polar coordinates
• Complex arithmetic and the Argand diagram
• De Moivre's theorem and trigonometric identities
• Determinants and inverses
• First order equations and integrating factors
• Hyperbolic functions and identities
• Maclaurin series
• Matrix algebra and transformations
• Modulus, argument and loci
• Roots of polynomials
• Roots of unity and complex roots
• Second order equations
• Summing series and the method of differences
• Volumes of revolution

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