Using maxima for high school mathematics



On Sun, Apr 03, 2011 at 11:11:53AM -0400, Raymond Toy wrote:
>     Daniel> graph, along with the absolute/global minimum and maximum? I'm using the
>     Daniel> command line interface...
> 
> If you have a symbolic expression, can't you compute the derivative
> and use a numerical method to find the zeroes?  You can try solve or
> mnewton or minpack_solve to find the zeroes.

I suppose so, but our course has not covered any of this yet. The other
students are using their CAS calculators to find the min/max for this
reason... So I was hoping there was a similar function in maxima. I'll
run it by my maths teacher and see what he thinks...

>     Daniel> 2) When graphing with maxima, what is the best way to choose a suitable
>     Daniel> x range for the plot2d argument? Is it possible to mark the major points
>     Daniel> of my graphs (tp, min/max, end points, intercepts intersections etc.?)
>     Daniel> Is there anyway to permanently set some variables like gnuplot_term so I
>     Daniel> don't have to type so many arguments for the plot2d command? 
> 
> Look at set_plot_option.  You can set things like gnuplot_term there.

Will have a look, thanks.

>     Daniel> points. The calculator provides a number of how successful the equation
>     Daniel> was eg. linear, quadratic or cubic. Is it possible to find the equation
>     Daniel> for a set of points with maxima? 
> 
> Sure, but it looks like there's nothing completely builtin.  You can
> do a least-squares fit using lbfgs or minpack_lsquares to produce the
> equation.  But you'll have to set up the equations appropriately
> before calling these routines.

OK -- is this the same process outlined by Leo?

Thanks for your help,

Dan