\documentclass{article}

\usepackage{url}

\title{My First Latex Document}
\author{Me}
\date{}

\begin{document}
\maketitle
Latex is a very powerful text formatting software.  It uses a markup language to change plain text into \textbf{formatted} text.  There are lots of different ways for interacting with it, but one of the easiest is via \url{www.overleaf.com}.

\section*{Equations}

It is particular good for writing mathematical equations.  For example, if we know that $a \equiv b ~(\mbox{mod } n)$ then we know that:

\[
a \mbox{ mod } n = b \mbox{ mod } n
\]

\noindent and we can do more sophisticated derivations like:

\begin{eqnarray*}
(m^e)^d \mbox{ mod } n & = & m^{ed}\mbox{ mod } n \\
  & = & m \mbox{ mod } n
\end{eqnarray*}

\noindent assuming the $(e,n)$ is the publiic key and $(d,n)$ is the private key.

\section*{Assignments going forward}

For most of the assignments going forward, you will use Latex to format your assignments.  There is a bit of a \emph{learning} curve, but hopefully by the end you begin to appreciate how:

\begin{enumerate}

\item readable your assignments will be,

\item easy it is to edit and iterate on your ideas (without erasing!),

\item and, it may become a useful tool for you to use outside of this class.

\end{enumerate}

We will provide some resources to get you going and will also provide some basic starters for each assignment to at least provide a starting point.

\vspace{0.5in}

\begin{center} {\Large Happy Texing!} \end{center}

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