Mathematics Projects
Third Semester Calculus
Projects available:
-
Project contributed by Neal Brand.
This project requires students to derive parametric equations
for the curves created by spirographs. Students are then required to
compute arc length and investigate a conjecture concerning the
arc length.
Project teaches and provides practice in
- Deriving parametric equations
- Trigonometry review
- Use of computers to graph parametric curves
- Arc length of parametrically defined curves
Ants on a Doughnut.
TeX version or
Postscript version. If you get the TeX
version then you should also get the figures in either
Postscript of
CorelDraw format.
Project contributed by Neal Brand.
This project is an introduction to differential geometry. 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
-
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.
Project teaches and provides practice in
- Parametric curves in two dimensions
- Lagrange multipliers
- Integration by parts
- Arc length of parametrically defined curves
- Area using Green's Theorem (Students not required to know
Green's Theorem before the project.)
Return to the UNT project home page.