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\title{113 Homework 1}
\author{Name Surname \\
  \url{Email@berkeley.edu}
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Inline equations: $x*y = y*x$. 
Display style equations: \[(x*y)*z = x*(y*z)\]

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Some notation you might want to use:
\begin{enumerate}
\item $\mathbb{N}, \mathbb{Z}, \mathbb{R}, \mathbb{C}$.
\item $\{(x,y)\mid x, y\in A, x\neq y\}$
\item $\alpha, \beta, \gamma$
\item $f:x\mapsto f(x)$
\item $A\subseteq B, A\subsetneq B, B\setminus A$
\item For $X, Y\subset A$ subsets, intersection: $X\cap Y$, union $X\cup Y$.
\item Composition of functions $f:A\to B, g:B\to C$ is $$g\circ f: a\mapsto g(f(a))$$ (a function from A to C).
\end{enumerate}
A
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\section*{Problem 1}
\section*{Problem 2}
\section*{Problem 3}
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