Taylor Polynomials

Synopsis: How can you work out Sin 0.5? Using computer graphics, shows just how successive Taylor polynomials for Sin x provide better and better approximations. These computer graphics lead to a comparison of the range of accuracy for a family of Taylor polynomials. Recaps the technique of evaluating function derivatives at x=o to determine the Taylor polynomials. You can also think of all Taylor polynomials as made up from a standard set of ingredients 1,x,x squared over 2!, x cubed over 3!, ... and so on. The precise mix for any function would be determined by the value of its derivatives at the origin. This is depicted using a ‘function synthesising machine’ which shows the effect of adding each ingredient a little at a time until the right ‘mix’ is found.
Series: Mathematics: A Foundation Course, Course M101
Language: English
Country: Great Britain
Medium: Video; Videocassette. Standard formats. col. 25 min.
Year of production: 1978
Availability: OUT OF DISTRIBUTION
Subjects: Mathematics
Keywords: polynomials

Name: Open University Worldwide
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MK7 6AA
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