Maclaurin polynomial

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