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Maple worksheets
Below are some Maple worksheets I have written. I have tried to give
appropriate credit where due when I have modified someone else's
worksheet to suit my own needs. Currently, the vast majority of the
worksheets I have posted are most appropriate for Math112.
Regardless, you may find them useful for learning how to write
animations. All of the worksheets were generated by Maple 9.5.
Right-click to download. (They're xml format so your browser
might think it understands them. It doesn't.)
- Taylor series Animations of Taylor polynomials.
- Taylor polynomial error Error bounds for Taylor polynomials.
- Vectors Gives examples of how to work
with vectors in Maple. Also has animations illustrating the
projection of one vector onto another and illustrating the cross
product of two vectors.
- Gradient Plots Shows various gradient
and level curve plots. Even has one for a function of three variables
at the bottom.
- Partial derivatives This animation is
designed to help give an intuitive idea of what a partial derivative
is.
- Parametric Lines Has animations
showing the parametric description of lines in 2-D and 3-D both
using vectors and not using vectors.
- Directional derivatives This
animation is designed to help give an intuitive understanding of
direction derivatives.
- Partial sums of series This worksheet
shows how partial sums of series behave as you include more and more
terms. The worksheet also shows some of the ways Maple can be used to
compute with series.
- Multivariable continuity This worksheet
illustrates the process of taking a limit of a function along a given
curve and what that means. It also tries to give a sense of why the
differentiability definition we use is a good one. It is a memory hog.
- Card overhang Illustrates the
stacking of cards using the Harmonic numbers to achieve a maximal
overhang.
- Multivariable Taylor polynomials Has
animations showing how multivariable Taylor polynomials work.
- Plots of partial derivatives This
worksheet is intended to help with visualizing how the graphs of
partial derivatives relate to the graph of the original function.
- Tangent planes and wind chill This
worksheet uses the wind chill functions as an excuse to look at
tangent planes. It also has an example further down of a more
complicated function that is suitable for zooming in on. Not very
well documented.