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\begin{center}

  \huge{The Department of Mathematics}\\[0.1\baselineskip]
  \Large{2021--22--B term}\\[0.2\baselineskip]

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\begin{description}
  \item[Course Name]
    Fundamentals of Analysis for EE - part I

  \item[Course Number]
    \LRE{212‭.2‭.5331}

  \item[Course web page]\mbox{}\\
    \url{https://math.bgu.ac.il//en/teaching/spring2022/courses/fundamentals-of-analysis-for-ee-part-i}

  \item[Lecturer]
    Prof. Arkady Leiderman,
    \nolinkurl{<arkady@bgu.ac.il>},
    Office 308

\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}

\subparagraph*{Metric spaces:}

closed sets, open sets, Cauchy sequences, completeness, compactness, Theorem of Heine--Borel, continuity and uniform continuity of functions, uniform convergence of sequences of functions.

\subparagraph*{Measure theory:}

algebras, measures and outer measures, measurable sets, discrete measure spaces, Lebesgue measure on the real line, measurable functions, Lebesgue integral, dominated convergence theorem, \$L\_p\$-spaces as complete normed spaces. Time-permitting: signed measures and absolute continuity of measures and the Radon-Nykodim theorem.

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