\documentclass[11pt]{article}
\def\Z{\mathbb{Z}}
\def\Q{\mathbb{Q}}
\usepackage{latexsym,amsmath,amssymb,epsfig}
\setlength{\textwidth}{6.5in}
\setlength{\oddsidemargin}{0in}
\setlength{\textheight}{9.0in}
\begin{document}
\centerline{MATH 243 -- Mathematical Structures}
\centerline{Quiz 3 -- September 22, 2017}
\vskip 10pt
\noindent
Your Name: $\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
\vskip 10pt
\noindent
{\it Directions}
\vskip 10pt
Do all work and answer all questions on this sheet. (Use the back if you need more space.)  There are 30 possible points, 
distributed as indicated.    
\vskip 10pt
\begin{enumerate}
\item[A)]  (15)  State the three Peano Axioms for $\mathbb{N}$.  
\vglue 3.0truein
\item[B)]  (15)  Prove by induction:  For all natural numbers $n \ge 1$, 
$1 + 3 + \cdots + (2n - 1) = n^2$.  (Note:  the ``base case'' will be $n = 1$ here, although
you could also make the formula work for $n = 0$ with a convention about what the sum means in that case.)    
\end{enumerate}
\end{document}
