[[Calculus 3]] - Level curve - A 2D shape that results from setting a two-variable equation equal to a constant - can help to see the shape of a 3D function - basically like taking horizontal slices out of a two-variable function - Vertical trace - similar to level curve, finding the 2D shape from a vertical slice - can find with either $f(a, y) = z$ for constant $x = a$ or $f(x, b) = z$ for constant $y=b$ - Both of these are used to visualize 3D functions in 2D - Functions of 3 variables - there is no great way to visualize these in 3 dimensions - have to take 3D "slices" out of the 4D shape