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Full-Text Articles in Physical Sciences and Mathematics
04: Ivt, Ruth Dover
04: Ivt, Ruth Dover
Mathematica Notebooks for Pre-Calculus and Calculus
IVT.nb allows the user to examine the Intermediate Value Theorem. Consider the graphs to examine whether or not the conclusions of the theorem hold.
16: Seeing Series, Ruth Dover
16: Seeing Series, Ruth Dover
Mathematica Notebooks for Pre-Calculus and Calculus
SeeingSeries.nb allows the user to enter an explicit formula for the terms of a sequence. Then it animates the pattern of the sequence of partial sums. This is particularly helpful to understand conditional convergence with alternating series, but it may be used on series with all positive terms, whether convergent or divergent.
17: Maclaurin Series, Ruth Dover
17: Maclaurin Series, Ruth Dover
Mathematica Notebooks for Pre-Calculus and Calculus
MaclaurinSeries.nb gives animations for popular Maclaurin series. It shows the series with increasing values of n both graphically and analytically.