%  This is a LaTeX template for MCS 220 mastery problems.
% Tom LoFaro, Gustavus Adolphus College 2009.

% Anything after a percent sign is a comment.

\documentclass[12pt]{article} 
\usepackage{amssymb}

% These commands make the margins narrower
\setlength{\textwidth}{6.5in}
\setlength{\oddsidemargin}{0in}
\setlength{\evensidemargin}{\oddsidemargin}

% Make Theorems and Lemmas share the same numbering {theorem}, but
% make definitions use their own numbers.
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}[theorem]
\newtheorem{definition}{Definition}

% The mastery problem environment definition

\newenvironment{mastery}[2]{\smallskip\noindent{\bf #1 #2:} \ \em }
{\smallskip}

% The lecture problem environment for the problems I demonstrate in
% class.  The argument is for the date


\newenvironment{lect}[1]{\smallskip\noindent {\bf Lecture #1:} \ \em }{\smallskip}

% This definitions make proofs the way I like them.
\def\QuadSpace{\vspace{0.25\baselineskip}}
\def\HalfSpace{\vspace{0.5\baselineskip}}
\def\FullSpace{\vspace{1.0\baselineskip}}
\def\qed{\enspace\vbox{\hrule\hbox{\vrule\kern4pt 
      \vbox{\kern4pt\kern4pt}\kern4pt\vrule}\hrule}}

\def\EndProof{ \quad \qed \newline }
\newenvironment{proof}{\QuadSpace\par\noindent{\bf Proof}:}{\EndProof\HalfSpace}

\def\pf{\smallskip\noindent{\sl Proof:}\quad} % the proof statement
                                % starting a proof

\newcommand{\vtwo}[2]{\mbox{$\left(\begin{array}{c} #1\\ #2
\end{array}\right)$}}

\title{MCS 220 Mastery Problems}
\author{Student Name}

\begin{document}

\maketitle

{\noindent\bf Honor Pledge:} On my honor, I pledge that I have
not given, received, or tolerated others' use of unauthorized
aid in completing this work.
      
\medskip
          
Signature \hrulefill

\medskip

\begin{mastery}{Ross}{1.2} 
If $n$ is a natural number then $3+11+\cdots + (8n-5)=4n^2-n$.
\end{mastery}

\begin{proof} You will then write your proof here. \end{proof}

\end{document}







