Maclaurin polynomial

noun

A truncated Maclaurin series; the sum of the first n terms of a Maclaurin series.

Meanings

nounMaclaurin polynomial (plural Maclaurin polynomials)

plural Maclaurin polynomials

  1. mathematicsA truncated Maclaurin series; the sum of the first n terms of a Maclaurin series.

    In the Maclaurin polynomials for sin x, only the odd powers of x appear explicitly.

    1998, Howard Anton, Calculus, Volume 2, Wiley, page 654
    3 more examples

    Use the formula for the nth Maclaurin polynomial for a function f(x) given below to find the 5th Maclaurin polynomial for f(x) = ln(l + x). Show all of your work.

    1996, Arthur Wayne Roberts, Calculus: The Dynamics of Change, Mathematical Association of America, page 109

    Use the Maclaurin polynomial for the function defined by f(x) = ln(l + x) to compute the value of In 1.2 accurate to four decimal places.

    1996, Louis Leithold, The Calculus 7, HarperCollins, page 681

    Or, it could be reinforcement of material on Taylor and Maclaurin polynomials that the students have had.

    2010, Stephen Hillbert, Diane D. Schwartz, Stan Seltzer, John Maceli, Eric Robinson, Calculus: An Active Approach with Projects, Mathematical Association of America, page 294

Translations

Catalan polinomi de Maclaurin
  • polinomi de Maclaurintruncated Maclaurin series
Danish Maclaurinpolynomium
  • Maclaurinpolynomiumtruncated Maclaurin series
French polynôme de Maclaurin
  • polynôme de Maclaurintruncated Maclaurin series
Italian polinomio di Maclaurin
  • polinomio di Maclaurintruncated Maclaurin series
Portuguese polinômio de Maclaurin
  • polinômio de Maclaurintruncated Maclaurin series
Spanish polinomio de Maclaurin
  • polinomio de Maclaurintruncated Maclaurin series
Cite this entry
APA

Maclaurin polynomial. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Maclaurin%20polynomial

MLA

“Maclaurin polynomial.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Maclaurin%20polynomial. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Maclaurin polynomial,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Maclaurin%20polynomial.

Source: Maclaurin polynomial on Wiktionary, CC BY-SA 4.0.