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• Calculus exercises: advanced
  *The formula for the Taylor polynomial of $n$th degree of function $f$ at $a\in {\bf R}^N$ is: $$T_n(x) ...out the interval of convergence of power series. Give examples of specific series for each case of the theorem, i.e., for each different type of interval.
  14 KB (2,538 words) - 18:35, 14 October 2017
• Isotropy in numerical PDEs
  ...rivative]]s of the unknown are replaced by finite differences via [[Taylor series]] of the functions. When solved these equation produce [[recurrence relatio
  10 KB (1,593 words) - 13:20, 8 April 2013
• Fourier transform
  ...tion into a combination of simpler functions. It's similar to the [[Taylor series]] but instead of [[polynomial]]s it uses [[trigonometric functions]].
  2 KB (405 words) - 15:03, 17 February 2011
• Cochain complexes and cohomology
  ...er, does $P$ span the whole space? '''Exercise.''' Hint: consider [[Taylor series]].
  17 KB (2,592 words) - 14:38, 14 April 2013

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