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\noindent \underline{MATH 4590 -- Study for exam 1} \\

\noindent \textbf{Definitions}: cuts (also being given two sets and being able to identify ``yes this is a cut" or ``no this is not a cut"), definition of metric space, definition of convergent sequence in a metric space, definition of continuous function between metric spaces

\noindent \textbf{Stuff from homework}: set theory ``element chasing" proofs (i.e. showing two sets are equal), proving things like $\sqrt{2}$ or $\sqrt[5]{3}$ are irrational, proving convergent sequences like $\displaystyle\lim_{n\rightarrow\infty}\dfrac{3n+2}{-2n+3}=\dfrac{-3}{2}$, prove that a described $(M,d)$ is a metric space, drawing or identifying a unit circle in a metric space

\noindent \textbf{Stuff from quizzes}: prove that a polynomial is continuous, proving things like ``a constant function is continuous", ``the sum of continuous functions is continuous", ``a constant multiple of a continuous function is continuous"
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