First 10 minutes with Mathematica
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\(f(x)=x^n\)
Integrating \(f(x)=x^n\)
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Births and Deaths in Canada
The data for this graph comes from Table 053-0001 at Statistics Canada. The graph was produced with Geogebra.
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Gazelle and Lion Velocities
This graph is from in a Scientific American article, which says “The graph is courtesy of J.A. Bolker and D.C. Meredith, University of New Hampshire, and is based on data from Elliott, P.; Cowan, I. M.; and Holling, C. S., 1977. Prey capture by the African lion. Canadian Journal of Zoology 55(11):1811-1828.” Two ways of using it in a calculus class:
- Post three questions about this graph to our class forum and answer a question posed by a classmate which either has not yet been answered or can be answered differently or more completely. Before posting your questions, read questions that others have posted and try to come up with substantively different ones.
- Write a one- to two-paragraph story based on this graph. The story must include some numbers and units.
Either assignment should lead into discussions of both slope and area.
Temperature vs. Depth in Lake Superior
The data for this graph comes from Lake Superior Meteorological Buoy at the University of Minnesota-Duluth. The data was gathered at 5:00 AM on July 28, 2011. Similar data, along with an interactive graphing view, are available for many other dates back to 2008. The graph was produced with Geogebra.
Practice finding the equation of a line
In order to begin learning to use JSXGraph (which also requires that I learn javascript) I created an application in which a line is randomly generated and the user enters what she thinks the equation is. Her equation is then graphed for comparison with the original.
Particularly helpful to me in developing this were Dr. Carol Fisher’s Reference on JSXGraph Commands and the convert-to-math script in use at interactive
mathematics. (The latter enables the user to enter the equation using standard calculator notation.) I also found the javascript tutorial at w3schools.com a very useful introduction to javascript.
The application uses MathJax to produce nice mathematical notation.
Posted in Interactive Applets
Tagged algebra, applets, JSXGraph, linear equations, MathJax
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