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author | Andreas Müller <andreas.mueller@ost.ch> | 2021-04-15 11:13:50 +0200 |
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committer | Andreas Müller <andreas.mueller@ost.ch> | 2021-04-15 11:13:50 +0200 |
commit | 9685524959fd0c5e3b2b5ced4f9569cbabcf028f (patch) | |
tree | d029ee1a7cd134e73380ad4f4bc8a4b00b44e8a3 /vorlesungen/08_dgl | |
parent | add devide and conquor slides (diff) | |
parent | Slides für Vorlesung DGL begonnen. (diff) | |
download | SeminarMatrizen-9685524959fd0c5e3b2b5ced4f9569cbabcf028f.tar.gz SeminarMatrizen-9685524959fd0c5e3b2b5ced4f9569cbabcf028f.zip |
Merge branch 'master' of github.com:AndreasFMueller/SeminarMatrizen
Diffstat (limited to 'vorlesungen/08_dgl')
-rw-r--r-- | vorlesungen/08_dgl/Makefile | 33 | ||||
-rw-r--r-- | vorlesungen/08_dgl/MathSem-08-dgl.tex | 14 | ||||
-rw-r--r-- | vorlesungen/08_dgl/common.tex | 16 | ||||
-rw-r--r-- | vorlesungen/08_dgl/dgl-handout.tex | 11 | ||||
-rw-r--r-- | vorlesungen/08_dgl/slides.tex | 24 |
5 files changed, 98 insertions, 0 deletions
diff --git a/vorlesungen/08_dgl/Makefile b/vorlesungen/08_dgl/Makefile new file mode 100644 index 0000000..613a5d9 --- /dev/null +++ b/vorlesungen/08_dgl/Makefile @@ -0,0 +1,33 @@ +# +# 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 --- /dev/null +++ b/vorlesungen/08_dgl/MathSem-08-dgl.tex @@ -0,0 +1,14 @@ +% +% 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 new file mode 100644 index 0000000..75b8586 --- /dev/null +++ b/vorlesungen/08_dgl/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[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 new file mode 100644 index 0000000..2bd08a1 --- /dev/null +++ b/vorlesungen/08_dgl/dgl-handout.tex @@ -0,0 +1,11 @@ +% +% 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 @@ -0,0 +1,24 @@ +% +% 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}
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