\documentclass{amuc}
\usepackage{amsfonts}
\begin{document}
%% \title[HEADLINE TITLE]{LONG TITLE \\ WITH TWO LINES}
%% The part [] is optional and can be deleted, if the title is short
\title[TITLE OF ARTICLE]{THE LONG TITLE OF THE VERY CRAZY ARTICLE \\
OR HOW TO USE AMUC.CLS}
%% First author ...name + address + email
%% \author{F. Second_name}
%% \address{Street XY, Town, State}
%% \curraddr{...}
%% current address, e-mail and url are optional
%% \email{...@...}
%% \urladdr{...}
\author{F. Anonymous}
\address{Fun street 26, 876 67 Fun, Funland}
\curraddr{Sun street, Sunland}
\email{fanonymous@fun.xy}
\urladdr{http://www.anonymous.com/~anonymous}
%% If there are more authors, then second author, third author contains
%% the same items
\author{S. Anonymous}
\address{University of \dots, }
%% (optional) If any thanks for the financial supports, grants, ...
%\thanks{The first author was supported ...}
\thanks{The authors gratefully
acknowledge the financial support from the project XY}
%% (optional) Keywords
\keywords{fun, amuc}
%% (obligatory) AMS Classification 2000
%% The Primary classification is obligatory,
%% the Secondary classification is optional.
%% \subjclass{primary}{secondary}
%% f.e. \subjclass{35R35, 49M15, 49N50}{} or \subjclass{35R35, 49M15}{49N50}
\subjclass{35R35, 49M15, 49N50}{}
%% (optional) Abstract
\begin{abstract}
This article describes simply how to use amuc.cls.
\end{abstract}
\maketitle
%%%%% private macros, f.e. the different environments
\newtheorem{theorem}{Theorem}[section]
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{defn}[theorem]{Definition}
%%% for unnumbered environments, use:
\newtheorem*{remark}{Remark}
%%% for no-italic, numbered environments, use:
\newenvironment{definition}{\begin{defn}\normalfont}{\end{defn}}
%%%% the main article
\section{First section}
The article can be written the same way as the standard article.cls
or more precisely amsart.cls. It means, the environments as
\begin{verbatim}
\begin{align}...\end{align}
\begin{align*}...\end{align*}
...
\end{verbatim}
can also be used.
{\bfseries The
bold style} is used for emphasized words.
If you need to use mathematical symbols as
$\mathbb{R}$, use
\begin{verbatim}
\usepackage{amsfonts}
\end{verbatim}
at the beginning of the document and use the standard macros as
{\ttfamily \char'134mathbb\{...\}}.
\subsection{First subsection}
\begin{theorem}[Fermat]\label{main}
The first theorem \dots -- the theorems are written in italic style.
\end{theorem}
\begin{theorem}
The second theorem \dots
\end{theorem}
\begin{definition}
In the journal, the definitions and remarks are not written in italic style.
\end{definition}
\begin{lemma}
The lemma -- again in italic style.
\end{lemma}
\begin{proof}
The environment ``proof'' is defined automatically.
\end{proof}
\begin{proof}[Proof of Theorem~{\upshape\ref{main}}]
The environment ``proof'' is defined automatically and the word ``Proof'' can be changed
as optional argument.
\end{proof}
\begin{proof*}
The environment ``proof'' with the star is also defined automatically and it can
be use, when the symbol $\Box$ for ``end proof'' should not be given.
\end{proof*}
\begin{remark}
You can also very simply to define unnumbered environments.
\end{remark}
\begin{acknowledgment}[Acknowledgement]
Thank you Peter Pan for helpful comment to this article.
\end{acknowledgment}
% or it can be used also as \begin{acknowledgment}[Acknowledgments]
%%%% references
\begin{thebibliography}{9}
\bibitem{russo1}
Russo D., Bresler E., Shani U. and Parker J. C.,
{\em Analysis of infiltration events in relation to determining soil
hydraulic properties by inverse problem methodology},
Water Resources Research {\bf27} (1991), 1361--1373.
\bibitem{russo2}
\bysame,
{\em Analysis of \dots}, \dots, 177--199.
\end{thebibliography}
\end{document}