Computer Science and Information Technology Vol. 1(3), pp. 190 - 195
DOI: 10.13189/csit.2013.010304
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Studying the Differential Problem with Maple

Chii-Huei Yu ^*
Department of Management and Information, Nan Jeon University of Science and Technology, Taiwan

ABSTRACT

This article takes the mathematical software Maple as the auxiliary tool to study the differential problem of two types of trigonometric functions. We can obtain the Fourier series expansions of any order derivatives of these two types of functions by using differentiation term by term theorem, and hence greatly reduce the difficulty of calculating their higher order derivative values. On the other hand, we provide some examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying these solutions by using Maple. This type of research method not only allows the discovery of calculation errors, but also helps modify the original directions of thinking from manual and Maple calculations.

KEYWORDS
Derivatives, Trigonometric Functions, Fourier Series Expansions, Differentiation Term By Term Theorem, Maple

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Chii-Huei Yu , "Studying the Differential Problem with Maple," Computer Science and Information Technology, Vol. 1, No. 3, pp. 190 - 195, 2013. DOI: 10.13189/csit.2013.010304.

(b). APA Format:
Chii-Huei Yu (2013). Studying the Differential Problem with Maple. Computer Science and Information Technology, 1(3), 190 - 195. DOI: 10.13189/csit.2013.010304.