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Maple is a high level programming language with strong built-in symbolic, numerical and graphic capabilities. The Harvard Math department server does not run Maple at the moment. Maple's strengths can be compared with Mathematica. You start up maple from the commandline with "maple" (terminal mode) or with "xmaple" (worksheet). Here is an example, how to use Maple in a terminal. After starting up maple, you can use commands like: 
with(linalg):
v1 := vector([1,0,3]);
v2 := vector([1,2,0]);
v3 := vector([1,1,1]);
GramSchmidt({v1,v2,v3});

det([[1,3,4,5],[2,3,4,5],[5,6,2,3],[3,4,2,1]]);

int(sin(t)^8,t);

diff(arccos(x),x);

series(sin(x),x,15);

plot(sin(x),x=1..3);

plot3d(sin(x*y),x=1..3,y=1..3);

fieldplot([-y,x],x=-2..2,y=-2..2);

The graphics commands are better used with xmaple, the GUI version of maple.


Simplicity, Clarity, Generality B.W. Kernighan, R. Pike, in "The Practice of Programming".
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