6 files changed, 112 insertions, 0 deletions
diff --git a/vorlesungen/05_spektral1/Makefile b/vorlesungen/05_spektral1/Makefile
new file mode 100644
index 0000000..a72a5a8
--- /dev/null
+++ b/vorlesungen/05_spektral1/Makefile
@@ -0,0 +1,35 @@
+#
+# Makefile -- spektral1
+#
+# (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+#
+all:	spektral1-handout.pdf MathSem-05-spektral1.pdf
+
+include ../slides/Makefile.inc
+
+SOURCES = common.tex slides.tex $(slides)
+
+MathSem-05-spektral1.pdf:	MathSem-05-spektral1.tex $(SOURCES)
+	pdflatex MathSem-05-spektral1.tex
+
+spektral1-handout.pdf:	spektral1-handout.tex $(SOURCES)
+	pdflatex spektral1-handout.tex
+
+thumbnail:	thumbnail.jpg fix1.jpg
+
+thumbnail.pdf:	MathSem-05-spektral1.pdf
+	pdfjam --outfile thumbnail.pdf --papersize '{16cm,9cm}' \
+		MathSem-05-spektral1.pdf 1
+thumbnail.jpg:	thumbnail.pdf
+	convert -density 300 thumbnail.pdf \
+                -resize 1920x1080 -units PixelsPerInch thumbnail.jpg
+
+fix1.pdf:	MathSem-05-spektral1.pdf
+	pdfjam --outfile fix1.pdf --papersize '{16cm,9cm}' \
+		MathSem-05-spektral1.pdf 92
+fix1.jpg:	fix1.pdf
+	convert -density 300 fix1.pdf \
+                -resize 1920x1080 -units PixelsPerInch fix1.jpg
+
+jordan.jpg:	fix1.jpg Makefile
+	convert -extract 873x873+967+199 fix1.jpg jordan.jpg
diff --git a/vorlesungen/05_spektral1/MathSem-05-spektral1.tex b/vorlesungen/05_spektral1/MathSem-05-spektral1.tex
new file mode 100644
index 0000000..7eeacd9
--- /dev/null
+++ b/vorlesungen/05_spektral1/MathSem-05-spektral1.tex
@@ -0,0 +1,18 @@
+%
+% MathSem-05-spektral1.tex -- Präsentation 
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\documentclass[aspectratio=169]{beamer}
+\input{common.tex}
+\setboolean{presentation}{true}
+\begin{document}
+\begin{frame}
+\titlepage
+\vspace{-1.5cm}
+\begin{center}
+\includegraphics[width=6cm]{jordan.jpg}
+\end{center}
+\end{frame}
+\input{slides.tex}
+\end{document}
diff --git a/vorlesungen/05_spektral1/common.tex b/vorlesungen/05_spektral1/common.tex
new file mode 100644
index 0000000..376ab55
--- /dev/null
+++ b/vorlesungen/05_spektral1/common.tex
@@ -0,0 +1,16 @@
+%
+% common.tex -- gemeinsame definition
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\input{../common/packages.tex}
+\input{../common/common.tex}
+\mode<beamer>{%
+\usetheme[hideothersubsections,hidetitle]{Hannover}
+}
+\beamertemplatenavigationsymbolsempty
+\title[Spektraltheorie~1]{Spektraltheorie 1: Eigenwerte/Eigenvektoren}
+\author[A.~Müller]{Prof. Dr. Andreas Müller}
+\date[]{}
+\newboolean{presentation}
+
diff --git a/vorlesungen/05_spektral1/jordan.jpg b/vorlesungen/05_spektral1/jordan.jpg
new file mode 100644
index 0000000..7c26f19
--- /dev/null
+++ b/vorlesungen/05_spektral1/jordan.jpg
diff --git a/vorlesungen/05_spektral1/slides.tex b/vorlesungen/05_spektral1/slides.tex
new file mode 100644
index 0000000..1360eea
--- /dev/null
+++ b/vorlesungen/05_spektral1/slides.tex
@@ -0,0 +1,32 @@
+%
+% slides.tex -- XXX
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\section{Eigenwerte}
+\ifthenelse{\boolean{presentation}}{
+\folie{5/verzerrung.tex}
+}{}
+\folie{5/spektrum.tex}
+\folie{5/kernbildintro.tex}
+\folie{5/kernbilder.tex}
+\folie{5/charpoly.tex}
+
+\section{Ketten}
+\folie{5/kernbild.tex}
+\folie{5/ketten.tex}
+\folie{5/dimension.tex}
+\folie{5/folgerungen.tex}
+\folie{5/injektiv.tex}
+
+\section{Nilpotent}
+\folie{5/nilpotent.tex}
+\folie{5/eigenraeume.tex}
+\folie{5/zerlegung.tex}
+\folie{5/normalnilp.tex}
+
+\section{Jordan Normalform}
+\folie{5/jordanblock.tex}
+\folie{5/jordan.tex}
+\folie{5/cayleyhamilton.tex}
+
diff --git a/vorlesungen/05_spektral1/spektral1-handout.tex b/vorlesungen/05_spektral1/spektral1-handout.tex
new file mode 100644
index 0000000..98f796e
--- /dev/null
+++ b/vorlesungen/05_spektral1/spektral1-handout.tex
@@ -0,0 +1,11 @@
+%
+% spektral1-handout.tex -- Handout XXX
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\documentclass[handout,aspectratio=169]{beamer}
+\input{common.tex}
+\setboolean{presentation}{false}
+\begin{document}
+\input{slides.tex}
+\end{document}