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\begin{document}
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\begin{center}

  \huge{The Department of Mathematics}\\[0.1\baselineskip]
  \Large{2018--19--B term}\\[0.2\baselineskip]

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\begin{description}
  \item[Course Name]
    Linear Algebra for physics students

  \item[Course Number]
    \LRE{201‭.1‭.9641}

  \item[Course web page]\mbox{}\\
    \url{https://www.math.bgu.ac.il//en/teaching/spring2019/courses/linear-algebra-for-physics-students}

  \item[Lecturer]
    Dr. Yaar  Solomon,
    \nolinkurl{<yaars@bgu.ac.il>},
    Office 317

\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{itemize}
\item{} Fields: definitions, the field of complex numbers.
\item{} Linear equations: elementary operations, row reduction, homogeneous and inhomogeneous systems, representations of the solutions.
\item{} Vector spaces: examples, subspaces, linear dependence, bases, dimension.
\item{} Matrix algebra: matrix addition and multiplication, elemetary operations, the inverse of a matrix, the determinant, Cramer's rule.
\item{} Linear transformations: examples, kernel and image, matrix representation.
\item{} Diagonalization: eigenvectors and eigenvalues, the characteristic polynomial, applications.
\item{} Bilinear forms.
\item{} Finite dimensional inner product spaces.
\item{} Operators on finite dimensional inner product spaces: the adjoint, self adjoint operators, normal operators, diagonalization of normal operators.
\end{itemize}

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\end{document}

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