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Proof and numerical methods flashcards

5 cards drawn from 5 lessons: 1 definition, 3 recall prompts and 1 spot-the-error card. The wordings a proof question marks you on, and what an approximation is actually worth. Rate each answer to set a shorter or longer interval before the card is due again.

Years 12-13 · 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 the shape of a proof by contradictionRecall
• proof by exhaustionDefine
• State what a change of sign does and does not proveRecall
• State whether the trapezium rule over- or under-estimatesRecall
• Newton-Raphson always converges to the root nearest your starting value.Spot the error

The lessons these cards come from

• Disproof and proof by contradiction
• Locating roots and iteration
• The Newton-Raphson method
• The structure of proof: deduction and exhaustion
• The trapezium rule

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