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\usepackage{amssymb, amsthm, amsmath, graphics, enumitem}

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\newtheorem*{proposition}{Proposition}
\newtheorem*{lemma}{Lemma}

\theoremstyle{definition}
\newtheorem*{definition}{Definition}

\theoremstyle{remark}
\newtheorem*{remark}{Remark}
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\begin{document}

\textbf{\Large MAT 3271:  Assignment 1 \hfill My Name}

%This line prints the assignment number and your name in boldfaced, very large type;  the "\hfill" command makes a stretchable space so that your name is at the right margin.  Put in your name instead of mine!   Replace "N" with the appropriate number.

%Now you type the solutions to the exercises for this problem set.

\begin{enumerate}

%This creates an environment that automatically numbers your solutions.  When doing problems from the text, we can number them the way they appear in the book by using the first ``\item" command for the chapter and then nesting another item environment within it, as is done below.  When doing problems from handouts, do not make this extra layer.  In fact, you can just use the assignment itself as a template and insert your solutions.

%The numbering is all set up for the first assignment.  You will need to make modifications for later assignments.

\item[]

%The empty brackets causes the chapter number to be left out, which saves paper.

\setcounter{enumi}{1}

%But for the exercises, we must have the correct chapter number.  For some reason, the empty brackets set it to zero, so we need to reset it.

\begin{enumerate}[label*=\arabic*]

%The information in the brackets causes the enumeration environment to use numbers instead of letters.  For lettered parts of problems, use ``\alph", as we do below.  

\item 

\renewcommand{\labelenumiii}{(\alph{enumiii})}

%It is only necessary to change this label with ``\renewcommand" once.

\begin{enumerate}

\item %Fill in your solution to part (a) here.

\item %Fill in your solution to part (b) here.

\end{enumerate}

\setcounter{enumii}{2}

\item 

\begin{enumerate}

\item %Fill in your solution to part (a) here.

\item %Fill in your solution to part (b) here.

\end{enumerate}

\setcounter{enumii}{7}

\item %Fill in your solution to Exercise 8 here.

\item %Fill in your solution to Exercise 9 here.  Etc.

\item

\item

\setcounter{enumii}{13}

\item

\setcounter{enumii}{15}

\item

\setcounter{enumii}{20}

\item

\item

\item

\end{enumerate}

\end{enumerate}

\end{document}

%This closes the document environment.
