% 
%  This template is for homework in MATH 324 at Ferris State.
%
%


\documentclass[12pt]{article}
\usepackage{amssymb,amsmath,graphicx,fancyhdr,amsthm,xcolor,stackrel,datetime2}
\usepackage[top = 1.25 in, bottom = 1 in, left = 1 in, right = 1 in]{geometry}

\definecolor{ltg}{gray}{.90}
\definecolor{lty}{RGB}{255,248,215}
\definecolor{ltb}{RGB}{235,242,255}
\definecolor{dkblue}{RGB}{0,0,190}
\definecolor{dkred}{HTML}{C0504D}
\definecolor{darkgreen}{HTML}{008D00}
\definecolor{ltgreen}{HTML}{C1E6BC}
\definecolor{ltltgreen}{HTML}{D5FFD0}
\definecolor{ltp}{HTML}{E6E0EC}

\newtheorem{thm}{Theorem}[]
\newtheorem{defn}[thm]{Definition}
\newtheorem{cor}[thm]{Corollary}
\newtheorem{lem}[thm]{Lemma}
\newtheorem{claim}[thm]{Claim}
\newtheorem{prop}[thm]{Proposition}
\newtheorem*{thm*}{Theorem}
\newtheorem*{cor*}{Corollary}
\newtheorem*{lem*}{Lemma}
\newtheorem*{claim*}{Claim}
\newtheorem{prop*}{Proposition}


\newcommand{\N}{\mathbb{N}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\C}{\mathbb{C}}

\newcommand{\del}{\partial}
\renewcommand{\bar}{\overline}

\newcommand{\so}{\Rightarrow}
\newcommand{\os}{\Leftarrow}
\renewcommand{\iff}{\Leftrightarrow}
\newcommand{\into}{\hookrightarrow}
\newcommand{\onto}{\twoheadrightarrow}
\newcommand{\ce}{\stackrel{1-1}{\longleftrightarrow}}
\newcommand{\too}{\longrightarrow}



\renewcommand{\and}{\wedge}
\renewcommand{\or}{\vee}
\newcommand{\A}{\forall}
\newcommand{\E}{\exists}

\newcommand{\LH}{\stackrel{L}{=}}

\renewcommand{\l}{\lambda}
\newcommand{\ep}{\epsilon}

\renewcommand{\P}{\mathcal{P}}
\renewcommand{\S}{\mathcal{S}}

\newcommand{\T}{\mathbf{T}}
\newcommand{\X}{\mathbf{X}}
\newcommand{\Y}{\mathbf{Y}}

\newcommand{\0}{\mathbf{0}}

\renewcommand{\a}{\mathbf{a}}
\renewcommand{\b}{\mathbf{b}}
\renewcommand{\c}{\mathbf{c}}
\newcommand{\e}{\mathbf{e}}
\newcommand{\f}{\mathbf{f}}
\newcommand{\g}{\mathbf{g}}
\newcommand{\h}{\mathbf{h}}
\renewcommand{\i}{\mathbf{i}}
\renewcommand{\j}{\mathbf{j}}
\renewcommand{\k}{\mathbf{k}}
\newcommand{\n}{\mathbf{n}}
\renewcommand{\u}{\mathbf{u}}
\renewcommand{\v}{\mathbf{v}}
\newcommand{\w}{\mathbf{w}}
\newcommand{\x}{\mathbf{x}}
\newcommand{\y}{\mathbf{y}}
\newcommand{\z}{\mathbf{z}}

\renewcommand*\rmdefault{ppl}


\begin{document}

%  
% FIRST:  In the block of code in the next five lines below, 
% change the number of the homework assignment 
% and put your name where it belongs.
%

\pagestyle{fancy} 
\lhead{\textsc{MATH 324 HW 1}} % Change the "1" to the appropriate HW
\chead{\textsc{David McClendon}}  % Your name goes here, inside these braces
\rhead{\textsc{\today}} 
\lfoot{} \cfoot{}\rfoot{}

% Each homework problem should begin with 
% \section*{Problem (the problem number)}.

\section*{Problem 1}


% Here is how you state a theorem

\begin{thm*} Here is the theorem.
\end{thm*}

% Here's how you format a proof.

\begin{proof}
% Put your proof here.
\end{proof}

\section*{Problem 2}

\begin{thm*} Here is the theorem.
\end{thm*}

\begin{proof}
% Put your proof here.

\end{proof}

\section*{Problem 3}

% If the problem has parts, put each part in a subsection* like this:
\subsection*{Problem 3(a)}

\begin{thm*} Here is the theorem.
\end{thm*}

\begin{proof}
% Put your proof here.

\end{proof}

\subsection*{Problem 3(b)}


\end{document}

































