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\begin{document}
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\begin{center}

  \huge{The Department of Mathematics}\\[0.1\baselineskip]
  \Large{2017--18--A term}\\[0.2\baselineskip]

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\begin{description}
  \item[Course Name]
    Infinitesimal Calculus 1

  \item[Course Number]
    \LRE{201‭.1‭.0011}

  \item[Course web page]\mbox{}\\
    \url{https://math.bgu.ac.il//en/teaching/fall2017/courses/infinitesimal-calculus-1}

  \item[Lecturer]
    Prof. Eitan Sayag,
    \nolinkurl{<sayage@bgu.ac.il>},
    Office 107

\item[Office Hours]
  \url{https://math.bgu.ac.il/en/teaching/hours}
\end{description}

\section*{Abstract}




\section*{Requirements and grading\footnote{Information may change during the first two weeks of the term. Please consult the webpage for updates}}






\section*{Course topics}

\begin{enumerate}
\item{} Real numbers (axiomatic theory). Supremum and Infimum of a set. Existence of an n-th root for any a \textgreater{} 0. 2. Convergent sequences, subsequences, Cauchy sequences. The Bolzano-Weierstrass theorem. Upper and lower limits. 3. Series. Partial sums, convergent and divergent series, Cauchy criterion. Series of non-negative terms. The root and the ratio tests. Series of arbitrary terms. Dirichlet, Leibnitz, and Abel theorems. Rearrangements of series. The Riemann Theorem. 4. The limit of a function. Continuous functions. Continuity of the elementary functions. Properties of functions continuous on a closed interval. Uniformly continuous functions. Cantor?s theorem. 5. The derivative of a function. Mean value theorems. Derivatives of higher order. L'Hospital's rule. Taylor's theorem.
\end{enumerate}

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\end{document}

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