Students compute lengths of various curves along a torus with the help of a computer. Project teaches and provides practice in Visualizing in three dimensions Coordinate systems for a surface Parametric curves in three space Use of computers to approximate integrals Arc length of parametrically defined curves Isolating Perry Metric in a Quality Cell. TeX version or Postscript version . Project contributed by Neal Brand . This project is an introduction to the calculus of variation.
Students are to investigate the largest area that can be enclosed by a closed curve of fixed length.
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