- Graphs and growth rates as functions of a parameter.
- Study failure modes of Newton's method graphically and numerically.
- Reason using calculus ideas from numerical data.
- Study Riemann sums as functions of mesh size.
- Behavior of Monte-Carlo methods of integration.
- Compare Taylor polynomial graphs and values to original functions.
- 1-D differential equations (e.g. ones without closed form solutions) graphically.
- Experimentation to support infinite sequence and series intuition. (Including the limitations.)
**Web Resources:****Mathlab:**- http://www.mathlab.cornell.edu/computer_and_portfolio/index.html#ONEVAR
**Visual CalculusModules:**- http://archives.math.utk.edu/visual.calculus
**Calculus on the Net:**- http://www.calculus.net
**Rose-Hulman Calculus Problems:**- http://www.rose-hulman.edu/Class/CalculusProbs
**Famous Curves Applets:**- http://www-groups.dcs.st-and.ac.uk/ history/Java/index.html
**Function Grapher:**- http://people.hofstra.edu/staff/steven_r_costenoble/Graf/Graf.html
**Family Plotter:**- http://www.shu.edu/projects/reals/classes/PlotFamily.html