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Numerical solution of equations

2.6

What the syllabus asks of you

  • locate approximately a root of an equation, by means of graphical considerations and/or searching for a sign change
  • understand the idea of, and use the notation for, a sequence of approximations which converges to a root of an equation
  • understand how a given simple iterative formula of the form xₙ + ₁ = F(xₙ) relates to the equation being solved, and use a given iteration, or an iteration based on a given rearrangement of an equation, to determine a root to a prescribed degree of accuracy.

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Chapter 14: Numerical solution of equations

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Drill this topic

All 50 questions on Numerical solution of equations, untimed — answer on paper, then mark yourself against the mark scheme.

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Make a worksheet

Choose the years and how many questions, then print it with the answers on separate pages.

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50 questions

These are structured questions, answered in working rather than by picking an option, so they are not listed here one by one. The drill above puts each in front of you with its mark scheme to check against.