K5FM6 Maclaurin series personal learning checklist

Edexcel A-level Further Mathematics · Core Pure · either mandatory paper

Name ____________________ Class __________ Date __________

Tick one box per statement. Red: need help. Amber: partly confident. Green: can do independently.

I canRedAmberGreen
Derivatives and general terms at zero
derive Maclaurin coefficients and general terms from successive derivatives
Standard series and their domains
recognise and apply the standard exponential, logarithmic and trigonometric expansions
derive binomial coefficients and distinguish finite polynomials from nonterminating cases
Compound functions and exact order
expand scaled and nonlinear substitutions while translating the full validity range
derive products, quotients and compositions to a prescribed order
resolve cancellation and limiting behaviour using sufficiently many terms
derive related series by differentiation or integration within the valid interval
Approximation, validity and error awareness
use local expansions for controlled numerical approximations and explain justified error claims
evaluate the scope of a series answer and reject invalid out-of-range substitutions

Next revision priority: __________________________________________________