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{\Large {Mathematics 2C, Spring 1997}}\\
\large Review for Midterm II
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\begin{enumerate}

\item Products of power series: p.~642 Example~4, p.~644 no.32.

\item Use of power series to compute limits: p.~643 no.~21--26.  You
should know Taylor's formula as well as the power series of important
functions: $e^x$, $\sin x$, $\cos x$, $1/(1-x)$ and $\ln(1+x)$.  

\item Term-wise integration and differentiation of power series: p.~637
no.~31--35.

\item Parametric curves: What are they? How can you eliminate the
parameter?  How can you get some idea about how the graph looks like?

\item Integral computations:  Remember the techniques from Math 2B (area
under a curve, arc length, volume of a solid of revolution by method
of cross section, volume of a solid of revolution by method of
cylindrical shells, surface area of a solid of revolution) and know
how to use substitution to use these integrals for parametric curves.
See homework from Section~12.2.

\item Vector algebra in two and three dimensions.  Important concepts:
length of a vector, dot product, cross product.

\item Differentiation and integration of vector valued functions;
velocity and acceleration.  See, in particular, p.~679 no.~25, 38, 39.
This topic should be rather intuitive if you remember how velocity and
acceleration were introduced in Math 2A.

\end{enumerate}

General notes:

\begin{itemize}

\item No calculators.  A list of infrequently used formulae will be
supplied, if necessary (integrals, binomial series etc.).

\item If you want to leave from the exam early, you must do so at least 10
minutes before the end of the exam.

\item Remember the \emph{Give Up} option.

\end{itemize}

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