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\textbf{Reveiw for Test 3}

\begin{enumerate}

\item  Test: Monday, July 29.
\item  Test will cover: 16.1-17.3.
\item  The test will be closed book, but you can have one $4 \times 6$ note card of notes
	(you can have your calculator, but your work must be as if you had no calculator).
\item  You should look at the old tests from the previous times I taught Calc III.
	These can be found at:
	www.math.utah.edu/\~{}thornton/old-classes/calc3/
\item  Double integrals: even though this was on the last test, it is important enough that you will need to know it
	for this test too.
	Besides, If you are having trouble setting up a double integral, triple integrals will be next to impossible.
\item  Double integrals in polar coordinates: setting up and computing.
	You should also recognize when a double integral is easier to compute in polar coordinates.
\item  Applications: Be able to set up in integral representing mass of a lamina or a solid.
\item  Surface area: know the formula for surface area and how to use it.
\item  Triple integrals: be able to set these up and compute. 
	Be able to change the order of integration as well.
\item  Change of variables for triple integrals: be able to recognize when a triple integral is 
	best computed in either cylindrical or spherical coordinates (and know how to make this change).
	If I give you a transformation, be able to compute the Jacobian and use this to change the 
	variables in the integral.
\item  Vector fields: graphing, divergence and curl.
\item  Line integrals: be able to compute these.
	Remember that the notation for a line integral can be written different ways and you need to be 
	familiar with all of them ($\int f ds$, $\int F \dotprod dr$, etc.)
\item  Independence of path: critera for when a line integral is independent of path.
	How to compute a line integral when it is independent of path.
	How to find a potential function.

\end{enumerate}







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