| Summary: | 碩士 === 國立中山大學 === 應用數學系研究所 === 106 === This paper investigates the applications of mathematical symbolic software Mathematica 11.2 in calculus. First, we review some basic commands related to calculus. Next, we study three applied topics in calculus: derivative, integration for a univariate function, and sequence and series. The applications of derivative include finding tangent line, finding extreme values, and using graphics in Mathematica to find zero roots. The applications of integration include finding arc length, area, surface area, and volume. The applications of sequence and series focuses on the limit of a sequence, the properties of convergent series, the Taylor and Maclaurin polynomials, the radius of convergence of a power series, the Taylor series.
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