Math 481: Project 1

Due Friday February 24

Project 1 is for “warm-up”—I will grade it as a feedback to you but it won't count toward the overall course grade.

Animation of the emptying of a funnel

I solved the differential equation for the height h(t) in a funnel (with inflow rate set to zero), produced the animation in Maple, exported it as a multiframe GIF image, and further processed the image using ImageMagick's command-line tools.

Note the accelerated drop of the water level near the end and the corresponding steepening of the slope in the graph of h(t).

**Height versus time in a funnel**

What to do

I have written a good part of Project 1's report. Sections 1–4 are complete but sections 5 and 6 only say what needs to be done, without doing them. It is your job to complete them. Here are the files pertaining to my part of the writeup:

schematic.pdf	fig1.pdf	fig2.pdf	fig3.pdf	fig4a.pdf	fig4b.pdf
cross-section.pdf	fig5a.pdf	fig5b.pdf	fig6a.pdf	fig6b.pdf	proj1.tex

Put them all in your proj1 directory, then

edit:: gedit proj1.tex & # Note the & for backgrounding this job.
compile:: pdflatex proj1.tex # NOTE: No & Here! You DON'T want to background this.
view:: evince proj1.pdf & # Note the & for backgrounding this job.

Extend proj1.tex by adding text for the extra sections, supply your figures, and repeat the edit/compile/view cycle until the project is complete.

Beware that the LaTeX code in proj1.tex goes far beyond what I introduced in the computer workshop. Don't expect to understand everything there. Sections 5 and 6 that you are going to add, however, require nothing beyond the basic concepts that you learned in the workshop.

Important!

Don't leave things to the last moment—the first project tends to hit more snags than you may anticipate. Start early and give yourself a few days of slack to cope with the issues that may arise along the way.

When ready, send your report to me at rostamian@umbc.edu. I need:

Your LaTeX source code, proj1.tex, which is an extended version of the original proj1.tex;
The PDF versions of the figures that you added.

Please don't send:

my own figures, because I already have them;
the compiled report, proj1.pdf, because I am going to compile it myself;
the EPS versions of the figures.

Helpful Reminder

(We went through this in the computer workshop. If you followed the instructions there, there is nothing more to do.)

Does your Maple interface look different from mine? Read and follow the instructions in Configuring Maple to fix.

Author: Rouben Rostamian