LOGO-L> math applications

Quote:

> Does anyone have ideas or projects for using logo in teaching

> precalculus or calculus?

They can do some symbolic derivation, too.

show der [power :x 2]

[product 2 :x]

and if you have some plot function you could plot both.

plot [product 2 :x] "x [-10 10 1]

and if you have some eval function you could compare results:

show eval [power :x 2] "x 2

4

show derNum [power :x 2] "x 0

0

show eval der [power :x 2] "x 0

0

derNum would be numeric derivation.

Ah, and you can have a symbolic inversion function:

show invert [sum :x 2]

[difference :x 2]

show iseq 1 10

[1 2 3 4 5 6 7 8 9 10]

I'm abusing notation here:

show eval [sum :x 2] "x iseq 1 10

[3 4 5 6 7 8 9 10 11 12]

show eval [difference :x 2] "x [3 4 5 6 7 8 9 10 11 12]

[1 2 3 4 5 6 7 8 9 10]

show eval [difference :x 2] "x eval [sum :x 2] "x iseq 1 10

[1 2 3 4 5 6 7 8 9 10]

What about compose:

show compose invert [sum :x 2] [sum :x 2]

[difference sum :x 2 2]

show eval compose invert [sum :x 2] [sum :x 2] "x [1 2 3 4 5 6 7 8 9 10]

[1 2 3 4 5 6 7 8 9 10]

Daniel

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