\documentclass[12pt]{article}

\usepackage{amsmath,amsfonts,amssymb,amsthm,amsrefs}
\usepackage{multicol, }

\title{PUT TITLE HERE}  % This is just a working title
\author{STUDENT NAME}


\theoremstyle{plain}
\newtheorem{thm}{Theorem}
\newtheorem{coro}[thm]{Corollary}  %Corollaries are numbered with theorems
\newtheorem{lemma}[thm]{Lemma}

\theoremstyle{definition}
\newtheorem*{defn}{Definition}      %Definitions are not numbered.

\linespread{1.25}

\begin{document}

\maketitle

\begin{center}
\emph{Submitted in Partial Fulfillment \\ of the Requirements for \\ the Master of Arts in Mathematics} % put appropriate concentration here
\vskip.2in
Mentor: NAME HERE
\vskip.2in
\end{center}
\begin{abstract} % Don't worry about the abstract -- this should be written last.
This is not much of an abstract.  It is completely appropriate,
since this is not much of an article.
\end{abstract}

\subsection*{Introduction}  % section title
This section should contain an overview of your project. This paragraph contains redundant sentences.
This paragraph contains redundant sentences.
This paragraph contains redundant sentences.


\subsection*{Background Section}
Typically, a literature review or other context for the research is provided in this section. Be sure to appropriately cite your sources using the cite command. Here are some examples of objects.

\begin{thm}\label{thm1}  % example theorem
For all $k$, if $k \in \mathbb{N}$ then $k \in \mathbb{N}$.
\end{thm}

\begin{proof} % example proof
This is a an immediate consequence of predicate calculus.
For more on predicate calculus, see \cite{Church}.
\end{proof}

With the proof of Theorem \ref{thm1}, the paper is complete.
This paragraph contains redundant sentences.
This paragraph contains redundant sentences.  
Here is an offset equation:
$$
\int_0^1 x^2 ~dx = \frac{1}{3}
$$
Here are some more redundant sentences.
This paragraph contains redundant sentences.
This paragraph contains redundant sentences.


Here is some maple code:

\begin{verbatim} 
for i from 1 by 1 to 10 do 
     print(evalf(sin(i)^2-1)) 
end do
\end{verbatim}


\subsection*{Another Section}
Subsequent sections may include methodology, results, discussion, conclusions, etc. Be sure to properly format any mathematical symbols whether inline, such as $f(x) = \sin(x)$ or centered in offset mode. 

You may also include figures or tables in your paper. Include tables and figures where they will help to illustrate or summarize large amounts of information or data. Number them in the order in which they are presented (e.g., Table 1, Table 2, Figure 1, Figure 2), and be sure to specifically refer to them in the text. In particular it is good practice in the text to help the reader understand the main points presented in the table or figure. It can be helpful for readability to center the table or figure, but APA does not require it.

Tables and Figures should be laid out as follows.  Note that you can use the table or figure environments to format your items -- or use screenshots instead if you already have formatted versions in another package.

\begin{multicols}{2}
\begin{quote}
{\bf Table 1}\\
\emph{Title in Italics Title Case}\\
Table\\
\emph{Notes. Any special descriptions needed.}
\end{quote}

\begin{quote}
{\bf Figure 1}\\
\emph{Title in Italics Title Case}\\
Image\\
\emph{Notes. Any special descriptions needed.} 
\end{quote}
\end{multicols}

\subsection*{References}

Put the reference list here. Use the following examples. Put your entries in this list in alphabetical order by last name of the first author. If there are multiple articles by the same author(s), put them in date order. 

Note that standard software, well-known mathematical definitions and theorems, and common statistical tests used in the field do not need a citation or reference; just refer to them by name in the text.

\vskip .2in

\begin{biblist}

\bib{Church}{book}{  % Use this for books
author={Church, Alonzo},
title={This is a book},
publisher={Princeton University Press},
year={1996},
}

\vskip.2in

\bib{davidson}{article}{  % Use this for book chapters
author={Davidson, Karl},
title={This is a chapter in a book},
booktitle={In: All the Right Stuff (David Payne, ed.)}
pages={122-310},
publisher={Pearson},
year={1990},
}

\vskip.2in

\bib{laver}{thesis}{  % Use this for book chapters
author={Laver, Shirley},
title={This is a thesis},
type={Master's Thesis}
school={Stanford University},
year={1990},
}

\bib{mathy}{article}{  % Use this for articles
author = {Mathy, Clever},
author = {Adams, John},
author = {Gump, Forrest}
title = {An amazing paper in a journal},
journal = {Journal Name},
year = {2013},
volume = {1},
pages = {5-6},
}

\bib{web1}{article}{  % Use this for websites
   author={Websites R Us},
   title={My website as I like it},
   year={2010},
   eprint={http://www.some.site.com/},
   accessdate={June 15, 2021},
 }

\end{biblist}

\subsection*{Appendix}

Appendices, if used, come after the reference list. Begin information from Appendix I here. 

\end{document}  