Maclaurin polynomial

English

Noun

Maclaurin polynomial (plural Maclaurin polynomials)

1. (mathematics) A truncated Maclaurin series; the sum of the first n terms of a Maclaurin series.
   • 1996, Arthur Wayne Roberts, Calculus: The Dynamics of Change, Mathematical Association of America, page 109:

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

     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.

   • 1998, Howard Anton, Calculus, Volume 2, Wiley, page 654:

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

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

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

Translations

truncated Maclaurin series

• Danish: Maclaurinpolynomium

See also

• Maclaurin series