Edexcel•A-Level•Mathematics
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Numerical Methods
Locating roots, iteration, and the Newton-Raphson method
Practice 17 subtopics in Numerical Methods. All questions match the Edexcel A-Level specification.
About Numerical Methods
Numerical Methods is a key topic in the Edexcel A-Level Mathematicsspecification. This topic covers locating roots, iteration, and the newton-raphson method.
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All Subtopics (17)
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Locating roots by change of signSign change in continuous functionsInterval containing a rootLimitations of sign change methodsFixed point iteration: xₙ₊₁ = g(xₙ)Rearranging f(x) = 0 to x = g(x)Different rearrangements for same equationCobweb diagrams for iterationStaircase diagrams for iterationConvergence and divergence of iterationsNewton-Raphson method: xₙ₊₁ = xₙ - f(xₙ)/f'(xₙ)Graphical interpretation of Newton-RaphsonRate of convergenceCases where Newton-Raphson failsComparing iterative methodsError bounds and accuracyChoosing appropriate methods
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