Merge branch 'master' of github.com:AndreasFMueller/SeminarMatrizen

5 files changed, 98 insertions, 0 deletions

diff --git a/vorlesungen/08_dgl/Makefile b/vorlesungen/08_dgl/Makefile
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+#
+# Makefile -- dgl
+#
+# (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+#
+all:	dgl-handout.pdf MathSem-08-dgl.pdf
+
+include ../slides/Makefile.inc
+
+SOURCES = common.tex slides.tex $(slides)
+
+MathSem-08-dgl.pdf:	MathSem-08-dgl.tex $(SOURCES)
+	pdflatex MathSem-08-dgl.tex
+
+dgl-handout.pdf:	dgl-handout.tex $(SOURCES)
+	pdflatex dgl-handout.tex
+
+thumbnail:	thumbnail.jpg # fix1.jpg
+
+thumbnail.pdf:	MathSem-08-dgl.pdf
+	pdfjam --outfile thumbnail.pdf --papersize '{16cm,9cm}' \
+		MathSem-08-dgl.pdf 1
+thumbnail.jpg:	thumbnail.pdf
+	convert -density 300 thumbnail.pdf \
+                -resize 1920x1080 -units PixelsPerInch thumbnail.jpg
+
+fix1.pdf:	MathSem-08-dgl.pdf
+	pdfjam --outfile fix1.pdf --papersize '{16cm,9cm}' \
+		MathSem-08-dgl.pdf 1
+fix1.jpg:	fix1.pdf
+	convert -density 300 fix1.pdf \
+                -resize 1920x1080 -units PixelsPerInch fix1.jpg
+
diff --git a/vorlesungen/08_dgl/MathSem-08-dgl.tex b/vorlesungen/08_dgl/MathSem-08-dgl.tex
new file mode 100644
index 0000000..1bcb946
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+++ b/vorlesungen/08_dgl/MathSem-08-dgl.tex
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+%
+% MathSem-08-dgl.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
+\end{frame}
+\input{slides.tex}
+\end{document}
diff --git a/vorlesungen/08_dgl/common.tex b/vorlesungen/08_dgl/common.tex
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index 0000000..75b8586
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+++ b/vorlesungen/08_dgl/common.tex
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+%
+% 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[DGL]{Differential-Gleichungen}
+\author[R.~Seitz]{Roy Seitz}
+\date[]{}
+\newboolean{presentation}
+
diff --git a/vorlesungen/08_dgl/dgl-handout.tex b/vorlesungen/08_dgl/dgl-handout.tex
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index 0000000..2bd08a1
--- /dev/null
+++ b/vorlesungen/08_dgl/dgl-handout.tex
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+%
+% dgl-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}
diff --git a/vorlesungen/08_dgl/slides.tex b/vorlesungen/08_dgl/slides.tex
new file mode 100644
index 0000000..db4e27c
--- /dev/null
+++ b/vorlesungen/08_dgl/slides.tex
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+%
+% slides.tex -- XXX
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+
+% Wie findet man die Lösung von \dot x = Ax?
+% Fall \dot x = ax
+% Potenzreihenansatz -> exp(ax) x_0
+
+%% Plan:
+% 1. Tailor-Reihen p_n -> f
+% 2. x' = ax => x = exp(ax) x_0 via Potenzreihe finden
+% 3. n-Dim-skalar -> 1-Dim-Matrix
+% 4. Analogie zur Vektor-Matrix-Form
+% 5. exp(Ax) x_0 als Fluss
+% 6. Strömungslinien = Pfade für Lie-Theorie, A lokal, exp(Ax) global
+% 7. Beispiele so(2), Jordan-Block, vielleicht [0 1; 1 0]
+
+%\folie{10/taylor.tex}
+\folie{10/n-zu-1.tex}
+%\folie{5/potenzreihenmethode.tex}
+
+%\folie{10/eindimensional.tex}
\ No newline at end of file