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\textbf{Reveiw Stuff}



\begin{enumerate}

\item  Final will be open book: This means the book is allowed and notes are not allowed.
	Final is December 17, 10-11:50.
\item  Grades are available on line.  You just need to give me a password.
\item  Chapter 5 - Integrals
	\begin{enumerate}
	\item  Riemann sums (can you compute some?)
	\item  Definition of integral as limits of Riemann sums
	\item  Fundamental theorem of calculus - what does it mean?  What makes it fundamental?
	\item  Substitution
	\item  Definite and indefinite integrals (whats the difference?)
	\end{enumerate}
\item  Chapter 6 - Applications of Integrals
	\begin{enumerate}
	\item  Area, Area between curves
	\item  Volume of solids of rotation (disks and shells)
	\item  No Work on final
	\item  Average value of a function - what does it mean graphically
	\end{enumerate}
\item  Chapter 7 - Integration techniques
	\begin{enumerate}
	\item  Substitution
	\item  Parts
	\item  Trig substitution
	\item  Partial fractions
	\item  Tables
	\item  Simpsons rule
	\item  Improper integrals (use a limit)
	\item  Given an integral, which technique do you use?
	\end{enumerate}
\item  Chapter 8 - Applications of integration
	\begin{enumerate}
	\item  Arc length (can you set one up in several ways?)
	\item  Surface area (set up in several ways)
	\item  No Water pressure and force on final
	\item  No Center of mass on final
	\item  Probability
	\end{enumerate}
\item  Chapter 10 - Parametric and polar equations
	\begin{enumerate}
	\item  Graphing
	\item  Tangent lines (can you find the slope?)
	\item  Area under a parametric curve
	\item  Arc length of a curve
	\item  Surface area of a curve rotated
	\item  Areas and lengths in polar coordinates
	\item  No Conic sections on final
	\end{enumerate}
\item  Chapter 11 - Series
	\begin{enumerate}
	\item  Sequences and limit of sequences
	\item  Testing if series converge
		\begin{enumerate}
		\item  Geometric series
		\item  Integral test
		\item  Comparision and limit comparison test
		\item  Alternating series test
		\item  Ratio test
		\item  Root test
		\end{enumerate}
	\item  Absolute and conditional convergence
	\item  Power series and radious of convergence
	\item  Functions as power series
	\item  Taylor and Maclaurin series
	\end{enumerate}

\item  A ``sample'' test.  These are some similar to the problems I would consider putting on a test.
	\begin{enumerate}
	\item  5.1: one of 3-6
	\item  Explain the fundamental theorem
	\item  5.5: one of 7-70
	\item  Review6: one of 1-6
	\item  Rev6: one 7-14
	\item  Rev7: several of 1-50
	\item  8.1: one of 7-18
	\item  8.2: One of 5-20
	\item  Rev8: one of 19-21
	\item  Rev10: one of 1-4
	\item  Rev10: one of 5-12
	\item  Rev10: One of 17-20
	\item  Rev10: one of 26-32
	\item  Rev10: one of 33-36
	\item  Rev11: Several of 11-30
	\item  Rev11: One of 38-42
	\item  Rev11: one of 45-52
	\item  Rev11: one of 53-54
	\end{enumerate}



\end{enumerate}








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