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\begin{center}

  \huge{The Department of Mathematics}\\[0.1\baselineskip]
  \Large{2025--26--B term}\\[0.2\baselineskip]

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\begin{description}
  \item[Course Name]
    Introduction to Complex Analysis

  \item[Course Number]
    \LRE{212‭.1‭.0071}

  \item[Course web page]\mbox{}\\
    \url{https://www.math.bgu.ac.il//en/teaching/spring2026/courses/introduction-to-complex-analysis}


\item[Office Hours]
  \url{https://www.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{} Complex numbers, open sets in the plane.
\item{} Continuity of functions of a complex variable
\item{} Derivative at a point and Cauchy--Riemann equations
\item{} Analytic functions; example of power series and elementary functions
\item{} Cauchy's theorem and applications.
\item{} Cauchy's formula and power series expansions
\item{} Morera's theorem
\item{} Existence of a logarithm and of a square root
\item{} Liouville's theorem and the fundamental theorem of algebra
\item{} Laurent series and classification of isolated singular points. The residue theorem
\item{} Harmonic functions
\item{} Schwarz' lemma and applications
\item{} Some ideas on conformal mappings
\item{} Computations of integrals
\end{enumerate}

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\end{document}

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