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Complex Function Grapher
This mathlet graphs a complex function in 3 space dimensions using color to represent the fourth dimension (see the help text for more details). Sample assignments and full source code are given on the page with the mathlet.
In Elementary Differential Equations, students encounter the connections between the complex exponential function and the trigonometric functions. I wrote this mathlet so the students could experiment and see these connections, rather than just considering Taylor series. The students found the graphs stimulating (and occasionally pretty). I've since used the mathlet in Complex Analysis to help enrich students understanding of branch cuts and the argument principle as well.
AVAILABILITY OF CODE:
Open Complex Function Grapher in a new window.
Published July, 2001
© 2001 by Andrew G. Bennett