Book a Demo!
CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutPoliciesSign UpSign In
Download
107 views
1
% --------------------------------------------------------------
2
% This is all preamble stuff that you don't have to worry about.
3
% Head down to where it says "Start here"
4
% (Thanks to Dana Ernst for sharing his template for editing!)
5
% --------------------------------------------------------------
6
7
\documentclass[12pt]{article}
8
9
\usepackage[margin=1in]{geometry}
10
\usepackage{amsmath,amsthm,amssymb}
11
12
\newcommand{\N}{\mathbb{N}}
13
\newcommand{\Z}{\mathbb{Z}}
14
15
\newenvironment{theorem}[2][Theorem]{\begin{trivlist}
16
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
17
\newenvironment{lemma}[2][Lemma]{\begin{trivlist}
18
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
19
\newenvironment{exercise}[2][Exercise]{\begin{trivlist}
20
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
21
\newenvironment{problem}[2][Problem]{\begin{trivlist}
22
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
23
\newenvironment{question}[2][Question]{\begin{trivlist}
24
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
25
\newenvironment{corollary}[2][Corollary]{\begin{trivlist}
26
\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
27
28
\begin{document}
29
30
% --------------------------------------------------------------
31
% Start here
32
% --------------------------------------------------------------
33
34
\title{Weekly Homework 1}%replace X with the appropriate number
35
\author{Ian Housman\\ %replace with your name
36
MTH 311: Introduction to Modern Mathematics}
37
38
\maketitle
39
40
\begin{theorem}{x.yz} %You can use theorem, exercise, problem, or question here. Modify x.yz to be whatever number you are proving
41
Delete this text and write theorem statement here.
42
\end{theorem}
43
44
\begin{proof}
45
Blah, blah, blah. The square box means that the proof is finished. It's part of the ``proof'' environment defined in this document. You can use it or not, up to you.
46
\end{proof}
47
48
\begin{theorem}{x.yz}
49
When typing math, put a dollar sign before and after, as in ``Let $n\in \Z$'' (check the source code here, as the dollar signs don't show up in the final document). \textbf{\emph{This is really important!}} Your document won't look or work right if you don't.
50
\end{theorem}
51
52
\begin{proof}
53
Blah, blah, blah.
54
\end{proof}
55
56
\begin{theorem}{How to TeX a Truth Table}
57
You may want to know how to typeset the following symbols. They are included for reference, but remember you can always Google what you want to know. Often, searching for ``latex math conjunction'' (or whatever it is you want to find) will do the trick.
58
\end{theorem}
59
60
This is a truth table:
61
\[
62
\begin{tabular}{| c | c | c |} \hline
63
$A$ & $B$ & $A \wedge B$ \\ \hline\hline
64
T & T & T \\
65
T & F & F \\
66
F & T & F \\
67
F & F & F \\ \hline
68
\end{tabular}
69
\]
70
71
These are some commonly-used logic symbols:
72
73
\begin{center}
74
$A \vee B$, $\neg A$, $\neg (A \wedge B)$, $\neg A \wedge \neg B$, $A \implies B$, $P \iff Q$.
75
\end{center}
76
77
When you are happy with your work, do the following:
78
79
\begin{enumerate}
80
\item Click ``Save'' above
81
\item Click ``PDF'' above
82
\item Download your PDF document
83
\item Upload your PDF document to the appropriate D2L dropbox
84
\end{enumerate}
85
86
% --------------------------------------------------------------
87
% You don't have to mess with anything below this line.
88
% --------------------------------------------------------------
89
90
\end{document}
91
92