Add slide rule warm-up

src/Warm-Ups/Slide Rules/main.tex

@@ -1,7 +1,8 @@
 % use [nosolutions] flag to hide solutions.
 % use [solutions] flag to show solutions.
 \documentclass[
-	solutions
+	solutions,
+	shortwarning
 ]{../../../lib/tex/ormc_handout}
 \usepackage{../../../lib/tex/macros}
 

src/Warm-Ups/Slide Rules/parts/0 logarithms.tex

@@ -1,14 +1,5 @@
 \section{Logarithms}
 
-\definition{}<logdef>
-The \textit{logarithm} is the inverse of the exponent. That is, if $b^p = c$, then $\log_b{c} = p$. \\
-In other words, $\log_b{c}$ asks the question ``what power do I need to raise $b$ to to get $c$?'' \\
-
-\medskip
-
-In both $b^p$ and $\log_b{c}$, the number $b$ is called the \textit{base}.
-
-
 \problem{}
 Evaluate the following by hand:
 
@@ -25,61 +16,28 @@ Evaluate the following by hand:
 	\vfill
 \end{enumerate}
 
-\pagebreak
-
-
-\definition{}
-There are a few ways to write logarithms:
-\begin{itemize}
-	\item[] $\log{x} = \log_{10}{x}$
-	\item[] $\lg{x} = \log_{10}{x}$
-	\item[] $\ln{x} = \log_e{x}$
-\end{itemize}
-
-\definition{}
-The \textit{domain} of a function is the set of values it can take as inputs. \\
-The \textit{range} of a function is the set of values it can produce.
-
-\medskip
-
-For example, the domain and range of $f(x) = x$ is $\mathbb{R}$, all real numbers. \\
-The domain of $f(x) = |x|$ is $\mathbb{R}$, and its range is $\mathbb{R}^+ \cup \{0\}$, all positive real numbers and 0. \\
-
-\medskip
-
-Note that the domain and range of a function are not always equal.
-
-\problem{}<expdomain>
-What is the domain of $f(x) = 5^x$? \\
-What is the range of $f(x) = 5^x$?
-\vfill
-
-\problem{}<logdomain>
-What is the domain of $f(x) = \log{x}$? \\
-What is the range of $f(x) = \log{x}$?
-\vfill
-
-\pagebreak
-
-
 \problem{}<logids>
-Prove the following identities: \\
+Prove the following:
 
 \begin{enumerate}[itemsep=2mm]
 	\item $\log_b{(b^x)} = x$
+	\vfill
 	\item $b^{\log_b{x}} = x$
+	\vfill
 	\item $\log_b{(xy)} = \log_b{(x)} + \log_b{(y)}$
+	\vfill
 	\item $\log_b{(\frac{x}{y})} = \log_b{(x)} - \log_b{(y)}$
+	\vfill
 	\item $\log_b{(x^y)} = y \log_b{(x)}$
+	\vfill
 \end{enumerate}
 
-\vfill
 
 \begin{instructornote}
 	A good intro to the following sections is the linear slide rule:
-
+	\note{Note that these rules start at 0.}
 	\begin{center}
-		\begin{tikzpicture}[scale=1]
+		\begin{tikzpicture}[scale=0.6]
 			\linearscale{2}{1}{}
 			\linearscale{0}{0}{}
 
@@ -90,10 +48,8 @@ Prove the following identities: \\
 	\end{tikzpicture}
 	\end{center}
 
-	Take two linear rulers, offset one, and you add. \\
-	If you do the same with a log scale, you multiply! \\
-	\vspace{1ex}
-	Note that the slide rules above start at 0.
+	Take two linear rules, offset one, and you add.
+	Do the same with a log scale, and you multiply! \\
 
 	\linehack{}
 

src/Warm-Ups/Slide Rules/parts/1 intro.tex

@@ -1,6 +1,6 @@
 \section{Introduction}
 
-Mathematicians, physicists, and engineers needed to quickly solve complex equations even before computers were invented.
+Mathematicians, physicists, and engineers needed to quickly compute products long before computers conquered the world.
 
 \medskip