Math 13 Maple from Lecture 4

The most important method of education...has always consisted of
that in which the pupil was urged to actual performance.
Albert Einstein

You might find it beneficial to look at the Maple pictures we used in class when reviewing your notes. Sometimes it's interesting to see what happens when you make small changes in commands.

If you copy these commands into a Maple file it will draw the appropriate pictures for you. Note that you can adjust your persepective of the picture and you may need to do so to get the same view we had in class. Also, I broke these into different documents because the computer in class did not have enough memory to draw all the pictures when the commands were included in a single file... if your computer has enough memory you may not need to do so.

Document #1

c1:= sqrt(x^2+y^2+1): c2:= -sqrt(x^2+y^2+1): plot3d( {c1,c2}, x=-5..5,y=-5..5, orientation=[20,80], axes=framed, axes=normal, style=patch);

c1:= sqrt(x^2+y^2): c2:= -sqrt(x^2+y^2): plot3d( {c1,c2}, x=-5..5,y=-5..5, orientation=[20,80], axes=framed, axes=normal, style=patch);

c1:= sqrt(x^2+y^2-1): c2:= -sqrt(x^2+y^2-1): plot3d( {c1,c2}, x=-5..5,y=-5..5, orientation=[20,80], axes=framed, axes=normal, style=patch);

c1:= sqrt(x^2+y^2-1): c2:= -sqrt(x^2+y^2-1): plot3d( {c1,c2}, x=-5..5,y=-5..5, orientation=[20,80], axes=framed, axes=normal, style=patch);

plot3d( x^2+y, x=-5..5,y=-10..10, orientation=[20,80], axes=framed, axes=normal, style=patch);

with(plots): contourplot( (x^2 +y), x=-5..5,y=-10..10);

Document #2

plot3d ( sqrt(1-x^2-y^2), x=-1..1,y=-1..1, axes=framed,style=patch);

plot3d ( (x^2-y^2)/(x^2+y^2), x=-1..1,y=-1..1, axes=framed,axes=normal,style=patch);

plot3d ( (2*x*y)/(x^2+y^2), x=-1..1,y=-1..1, axes=framed,axes=normal,style=patch);

plot3d ( (3*(x^2)*y)/(x^2+y^2), x=-1..1,y=-1..1, axes=framed,style=patch);

plot3d ( ln(x^2+y^2-1), x=-2..2,y=-2..2, axes=framed,style=patch);

plot3d ( ln(x^2+y^2-1), x=-50..50,y=-50..50, axes=framed,style=patch);