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\begin{document}
\begin{flushright}
Your Name

Topology through Inquiry

Professor Allcock

Date Here
\end{flushright}
\begin{description}

\item[Theorem 2.1] You will copy the statements of the Exercises and Theorems from the textbook here.

\item[Answer] You will enter your solutions and proofs here.

Let $f(x)\in\Z[x]$.  If $f(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0$, then we say that the \emph{degree} of $f(x)$ is $n$.

The rational numbers consist of elements of the form $\frac{p}{q}$, where $p\in\Z$ and $q\in\N$.  In other words: $$\Q = \{\frac{p}{q} : p\in\Z, q\in\N\}.$$

The rational numbers consist of elements of the form $\displaystyle\frac{p}{q}$, where $p\in\Z$ and $q\in\N$.  In other words: $$\Q = \left\{\frac{p}{q} : p\in\Z, q\in\N\right\}.$$

Let $A\subset\N$.  $A\cup B$ $A\cap B$  $x\in A$

\begin{align}
	f(x)	&= \int_{-\infty}^x e^t dt	\\
		&= e^x
\end{align}

\begin{align*}
	g(x)	&= \frac{d}{dt}\left( e^{tx^2}\right)	\\
		&= x^2 e^{tx^2}
\end{align*}

\begin{align*}
	f(x)&= \left\{\begin{array}{l r}
		x\sin\left(\frac{1}{x}\right)	& \text{ if } x\neq 0,	\\
		0					& \text{ if } x=0.
	\end{array}\right.
\end{align*}


\end{description}
\end{document}