\documentclass[12pt,letterpaper,final]{report}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage[linewidth=1pt]{mdframed}
\usepackage{fullpage}

% Define theorem environments
\theoremstyle{plain}
\newtheorem{theorem}{Theorem}
\newtheorem{definition}{Definition}
\newtheorem{lemma}{Lemma}

\begin{document}

\begin{mdframed}

\center{\Large{\textbf{MATH 267 Fall 2026 - Class Notes}}}
\center{8/24/2026}  %Put the date of the class here!
\center{Scribe: Name} %Put Your Name Here!

\end{mdframed}

\textbf{\underline{Summary:}} Insert a short summary of what today's class covered.  Two or three
sentences is plenty --- someone who missed class should be able to read this and know what the day
was about.
\\

\textbf{\underline{Notes:}} Include detailed notes from the lecture or class activities.  Format your
notes nicely using latex such as

\begin{itemize}
\item bullets
\item or
\end{itemize}

\begin{enumerate}
\item lists
\item of
\item things
\end{enumerate}

or \textbf{other} \underline{formatting} \textit{commands.}  Make sure to write mathematical
expressions in math mode: $a \mid b$, $A \subseteq B$, $\forall x \in \mathbb{Z}$,
$P \to Q$, $\{x \in \mathbb{R} : x > 0\}$.
\\

\textbf{\underline{Definitions:}} Every definition stated in class should appear here, word for word
as we stated it.  This is the part your classmates will actually come back to.

\begin{definition}
An integer $x$ is \textbf{even} if $x = 2n$ for some integer $n$.
\end{definition}

\textbf{\underline{Theorems and Proofs:}} Use theorem environments for important results:

\begin{theorem}
If $x$ is an even integer, then $x^2$ is even.
\end{theorem}

\begin{proof}
Let $x$ be an even integer.  Then there is an integer $n$ such that $x = 2n$.  Therefore
$x^2 = (2n)^2 = 2(2n^2)$.  Let $m = 2n^2$.  Then $m$ is an integer and $x^2 = 2m$, so $x^2$ is even.
\end{proof}

\textbf{\underline{Questions raised in class:}} If something came up that we did not fully settle ---
a question from a classmate, a case we ran out of time for --- note it here.  This is genuinely
useful to the rest of the class, and to me.

\end{document}
