% This is a TeX file
% It is essentially a programming language for mathematics documents
% You can ignore this first portion of the file, as it is essentially a bunch of "include" statements.
\documentclass[10pt]{article}

\usepackage{pictex, latexsym, graphicx,amsmath,amssymb,amsbsy,amsfonts,amsthm,verbatim}
\usepackage{graphics}
\usepackage{fullpage}
\usepackage{fancyhdr}

\usepackage{algorithm,algorithmic}
\usepackage{multirow}

\setlength{\voffset}{-0.25in}
\setlength{\headsep}{0.25in}
\setlength{\parskip}{1em}
\setlength{\parindent}{0em}

% The following denotes a counter for the problems.
\newcounter{problem}
\newcommand{\problem}{\textbf{\refstepcounter{problem}Problem \theproblem.} }

% These are macro shortcuts! Helpful!
\def\vu{\mathbf{u}}
\def\vx{\mathbf{x}}
\def\vb{\mathbf{b}}
\def\vv{\mathbf{v}}
\def\vw{\mathbf{w}}

\renewcommand{\implies}{\rightarrow}
\renewcommand{\lor}{\vee}
\renewcommand{\land}{\wedge}
\newcommand{\xor}{\oplus}
\renewcommand{\iff}{\leftrightarrow}
\newcommand{\TRUE}{\mathbf{T}}
\newcommand{\FALSE}{\mathbf{F}}
\newcommand{\universe}{\mathcal{U}}

\begin{document}
\pagestyle{fancyplain}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% NOW you can start typing your text that will appear in the PDF!!!

% Note that anything after a '%' is a comment!

% Anything immediately after a '\' is a command. 
% Some denote formatting, some are for special characters.
% The '$' symbol starts and ends "math mode". Use this only for mathematical statements
% In math mode, any sequence of letters is meant to be a list of variables, so use "\sin x" for the sine of x, which will look much different from "sin x"
\chead{COM S 330 --- Homework 01 --- INSERT NAME HERE}

\textit{Type your answers to the following questions and submit a PDF file to Blackboard. 
Use only one page per problem.}



\problem [5pts] Describe your previous mathematical experience, including most recent math courses and how you feel you did. 
Include details on how much you remember the material, your mastery during the course, and how much you enjoyed your experiences.


I did something!

% Be sure to use this \clearpage to make sure your problems are on separate pages!
% \clearpage
\problem [5pts] What are your goals for taking this course? 
Is it simply a requirement, or do you want something in particular from this course?


% Be sure to use this \clearpage to make sure your problems are on separate pages!
%\clearpage
\problem [5pts] This course is very different from any computer science course you have taken to date. 
How do you plan to change your study habits in order to achieve success?


% Be sure to use this \clearpage to make sure your problems are on separate pages!
%\clearpage
\problem [5pts] Visit Prof. Stolee's office (Carver 416) and say ``Hello!'' 
Then, write something here about something you noticed in his office.


% Be sure to use this \clearpage to make sure your problems are on separate pages!
%\clearpage
\problem [5pts] Read the syllabus. Then, summarize the following information:
\begin{enumerate}
	\item What is the homework late policy?
	\item What is the exam make-up policy?
	\item How will your grade be calculated at the end of the semester?
	\item What will happen if I am academically dishonest?
	\item Where can I get support if I need extra help?
\end{enumerate}



% Be sure to use this \clearpage to make sure your problems are on separate pages!
%\clearpage
\problem [10pts] Let $p$ and $q$ be the propositions\\
\begin{tabular}[h]{c@{ : }l}
$p$ & I bought a lottery ticket this week.\\
$q$ & I won the million dollar jackpot.
\end{tabular}\\
Express each of these propositions as an English sentence.
\begin{enumerate}
\item $\lnot p$
\item $p \implies q$
\item $p \land q$ 
\item $p \iff q$
\item $\lnot p \lor (p \land q)$
\end{enumerate}



% This problem is removed since we did not get far enough in Monday's lecture.
%\problem [10pts] Construct a truth table for the compound proposition $(p \iff q) \xor (\lnot p \iff \lnot r)$.




\end{document} 