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\section*{Math 210 Study Guide - Midterm 1}
This is an incomplete list of topics, based on the homework already given in class.
\subsection*{Perl and HTML}
\begin{itemize}
\item
Day of the Week problem - loops and HTML incorporation
\item
Monte Carlo problem - random variables
\item
Making triangles - random variables
\end{itemize}
\subsection*{Probability}
\begin{itemize}
\item
``Inverse Probability'': Flipping coins, birthday problem, copier code problem
\item
Conditional Probability: House Alarm, Smoking Students, Power Blackout
\item
Genetic relations: to whom are you more related?
\end{itemize}
\subsection*{Weighted Averages}
\begin{itemize}
\item
$p_1 \ldots p_{48}$ with weighted coefficients
\item
Scoring Tests and Test Averages
\end{itemize}
\subsection*{Expected Value and Standard Deviation}
\begin{itemize}
\item
Dartboard problem - use summation, not integral
\item
Bus Problem - use integral, not summation (modular function)
\item
Coffee Shop Problem - use summation, not integral (not a modular function)
\end{itemize}
\subsection*{Markov Matrices and Matrix Manipulations}
\begin{itemize}
\item
Limp Bizkit and Limousines - Simple Markov Matrix Problem - Illustration of when to use Markov matrices
\item
Rats in a Maze Problem - More Complex Matrix Problem - Illustration of when not to use Markov matrices and instead just use expected value
\item
Matrix transformations - changing shape of $F$.  No vector addition if $T(0) = 0$, but necessary if $T(0) \not = 0$.
\end{itemize}
\subsection*{Least Squares}
\begin{itemize}
\item
Linearlize the variables (examples in hw6 problem 2a, 2b)
\item
Use matrices: if $Av = Y$, then $A^*Av = A^*Y$, where $A^* = A^T$.
\item
Kepler's Law, Tentax, Oceantide...there are many examples
\end{itemize}
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