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\title{Engineering and Science Mathematics I}
\author{Review for Midterm I}
\date{October 7, 2002}
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\begin{enumerate}
\item Limits, one-sided limits.  In particular questions like Example
13, p.73, Example 7, p.81 (``squeeze law''), trigonometric limits
(exercises on p.85).

\item Continuity: When is a function continuous, can a discontinuous
function be extended to be continuous (p.97 examples 57--60)?  Show
that differentiability implies continuity.

\item Derivative: Definition, compute the derivative in simple cases
as the limit of a difference quotient; differentiation rules;
derivatives of trigonometric functions, log, exp.

\item Implicit differentiation, derivatives of inverse functions.
E.g., know how to derive the derivatives of ln, arctan, etc.

\item Minimax problems:  Finding critical points; when does a critical
point correspond to a minimum, when to a maximum?  Applied Minimax
problems (Section 3.6).
\end{enumerate}

Exam rules:
\begin{itemize}
\item No notes and calculators.
\item Paper will be supplied.
\item Please leave the 3rd, 6th, 9th, row free (until all other rows
are completely occupied).
\end{itemize}

There is an extra office hour Tuesday, October 8, 12:30 in West Hall 4.


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