\documentclass[oneside,final,11pt]{article}

\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{xunicode}
  \usepackage{fancyhdr}
  \addtolength{\headheight}{5\baselineskip}
  \renewcommand{\headrulewidth}{0pt}
  \fancyhead[L,R]{}
  \fancyhead[C]{\includegraphics[scale=0.5]{bguhead.png}}
  \fancyfoot[L,C,R]{}
  \addtolength{\voffset}{-70pt}

\usepackage{hyperref}
\usepackage{xstring}
\def\rooturl{https://www.math.bgu.ac.il/}
\hyperbaseurl{\rooturl}
\let\hhref\href
\providecommand{\extrahref}[2][]{\LTRfootnote{\LR{\IfBeginWith*{#2}{http}{\nolinkurl{#2}}{\nolinkurl{\rooturl#2}}}}}
\renewcommand{\href}[2]{\IfBeginWith*{#1}{http}{\hhref{#1}{#2}}{\hhref{\rooturl#1}{#2}}\extrahref{#1}}

\usepackage{polyglossia}
\usepackage{longtable}
%% even in English, we sometimes have Hebrew (as in course hours), and we
%% can't add it in :preamble, since it comes after hyperref
%%\usepackage{bidi}
\setdefaultlanguage{english}
\setotherlanguage{hebrew}
%%\setmainfont[Ligatures=TeX]{Libertinus Serif}
\setmainfont[Script=Hebrew,Ligatures=TeX]{LibertinusSerif}[
  UprightFont = *-Regular,
  BoldFont = *-Bold,
  ItalicFont = *-Italic,
  BoldItalicFont = *-BoldItalic,
  Extension = .otf]

\SepMark{‭.}
\robustify\hebrewnumeral
\robustify\Hebrewnumeral
\robustify\Hebrewnumeralfinal

% vim: ft=eruby.tex:



\begin{document}
\pagestyle{empty}
\pagenumbering{gobble}


\pagestyle{fancy}
\begin{center}

  \huge{The Department of Mathematics}\\[0.1\baselineskip]
  \Large{2024--25--A term}\\[0.2\baselineskip]

\end{center}

\begin{description}
  \item[Course Name]
    Linear algebra 2

  \item[Course Number]
    \LRE{201‭.1‭.1221}

  \item[Course web page]\mbox{}\\
    \url{https://math.bgu.ac.il//en/teaching/fall2025/courses/linear-algebra-2}


\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{itemize}
\item{} Rings. Ring of polynomials and its ideal structure.
The prime factorization of a polynomial. Lagrange interpolation.
\item{} Eigenvalues and eigenvectors of linear operators.
\item{} Characteristic polynomial and Cayley-Hamilton theorem. The primary decomposition theorem.
Diagonalization. Nilpotent operators. Jordan decomposition in small dimension Jordan decomposition  in general dimension- time permitted
\item{} Linear forms.  Dual basis. Bilinear forms.
\item{} Inner product spaces. Orthogonal bases. Projections. Adjoint linear transformation. Unitary and  Hermitian operators.
\item{} Normal operators and the spectral decomposition theorem. Singular value decomposition theorem and applications.
\end{itemize}

% vim: ft=eruby.tex:


\end{document}

% vim: ft=eruby.tex: