Math1231 Several Variable Calculus

Several Variable Calculus is the extension of calculus in one variable to calculus in more than one variable: the differentiated and integrated functions involve multiple variables, rather than just one.

It's normally taught in 1131, and so it won't be in any of our practice tests but will probably be in the actual class tests.

Things like:

(1)
$$x^2 + y^2 = z^2$$

If z is fixed the above is a circle with radius z.
In 3D space it looks like a series of rings around the z axis, increasing in radius as they increase in height.

If x = 0 then |y| = |z| so it's two straight lines.
In 3D space it looks like two cones (one positive, one negative), flat along the x axis, increasing along the y and z axis.

page revision: 3, last edited: 12 Aug 2011 00:17