\section{Slide Rules} Mathematicians, physicists, and engineers needed to quickly solve complex equations even before computers were invented. \vspace{2mm} The \textit{slide rule} is an instrument that uses the logarithm to solve this problem. \par Before you continue, tear off the last page of this handout and assemble your slide rule. \vspace{2mm} There are four scales on your slide rule, each labeled with a letter on the left side: \def\sliderulewidth{13} \begin{center} \begin{tikzpicture}[scale=1] \tscale{0}{9}{T} \kscale{0}{8}{K} \abscale{0}{7}{A} \abscale{0}{5.5}{B} \ciscale{0}{4.5}{CI} \cdscale{0}{3.5}{C} \cdscale{0}{2}{D} \lscale{0}{1}{L} \sscale{0}{0}{S} \end{tikzpicture} \end{center} Each scale's ``generating function'' is on the right: \begin{itemize} \item T: $\tan$ \item K: $x^3$ \item A,B: $x^2$ \item CI: $\frac{1}{x}$ \item C, D: $x$ \item L: $\log_{10}(x)$ \item S: $\sin$ \end{itemize} Once you understand the layout of your slide rule, move on to the next page. \pagebreak