Level Sets, Curves, and Surfaces

Question

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 :)

Answer 1

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:

and by cliking right on the shape you see:

Now choose the contour, so you have:

Answer 2

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.