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I'm studying about the functions and one chapter is about level sets, curves and surfaces. Is there a software which can help me to generate automatically level curves.

Also if you can help me with the graph of $\displaystyle z=x^2-y^2$ and its level curves.

Thanks :)

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@Downvoter Why (-1) vote ? –  Iuli Sep 20 '12 at 12:15
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2 Answers 2

up vote 3 down vote accepted

You can use Maple for doing this so easily. It is one of user friendly Maths software.

Type the below commend in one worksheet in Maple and then "Enter":

plot3d(x^2-y^2,x=-10..10,y=-10..10);

you will see:

enter image description here

and by cliking right on the shape you see:

enter image description here

Now choose the contour, so you have:

enter image description here

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Just beautiful, Babak! –  amWhy Mar 21 '13 at 1:49
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Maple is a good piece of software. However, I am more comfortable using Mathematica which in my opinion is more user friendly and functional. Also, you can use Wolfram Alpha, a very useful website. If you type in google "graph z=x^2-y^2" it will also plot a graph for you. There is plenty of ways to generate graphs without buying or obtaining costly math software.

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