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Running Start/MATH&163 - Calculus 3/Class 10-30.md

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+- 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