Update to use hsrzf and hsrstud package and continue summary

4 files changed, 761 insertions, 69 deletions

diff --git a/an2e_zf.pdf b/an2e_zf.pdf
index 483eeaa..dd6b95e 100644
--- a/an2e_zf.pdf
+++ b/an2e_zf.pdf
diff --git a/an2e_zf.tex b/an2e_zf.tex
index a05a68b..50b9aff 100644
--- a/an2e_zf.tex
+++ b/an2e_zf.tex
@@ -1,8 +1,6 @@
-\documentclass[a4paper, twocolumn]{article}
+\documentclass[margin=small, twocolumn]{hsrzf}
 
-\usepackage{amssymb}
-\usepackage{amsmath}
-\usepackage{bm}
+\usepackage{hsrstud}
 
 \numberwithin{equation}{subsection}
 
@@ -14,7 +12,6 @@
 \usepackage{rotating}
 \usepackage{enumitem}
 
-\usepackage[margin=2cm, marginpar=0pt]{geometry}
 \usepackage{graphicx}
 \usepackage{xcolor}
 
@@ -25,21 +22,6 @@
 ]{doclicense}
 
 
-%\usepackage{showframe}
-
-%\usepackage{tikz}
-%\usepackage{tikz-3dplot}
-%\usepackage{pgfplots}
-%\pgfplotsset{compat=1.15}
-
-
-\usepackage[colorlinks = true,
-            linkcolor = red!50!black,
-            urlcolor  = blue,
-            citecolor = black,
-            anchorcolor = blue]{hyperref}
-
-
 \usepackage{polyglossia}
 \setdefaultlanguage[variant=swiss]{german}
 
@@ -49,15 +31,12 @@
 \date{Fr\"uhlingsstemester 2020}
 
 
-\newcommand{\dd}[2][]{\ensuremath{~\mathrm{d}^{#1} #2}}
-\newcommand{\deriv}[3][]{\ensuremath{\frac{\dd[#1]{#2}}{\dd[]{#3^{#1}}}}}
-\newcommand{\pderiv}[3][]{\ensuremath{\frac{\partial^{#1} #2}{\partial^{#1} #3}}}
-\renewcommand{\vec}[1]{\ensuremath{\bm{#1}}}
-
 \newcommand{\brpage}[1]{\textcolor{red!70!black}{\small\texttt{S#1}}}
 
 \begin{document}
 
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
 \section{Integration \brpage{493,507}}
 \subsection{Tricks \brpage{495}}
 Linearit\"at \brpage{495}
@@ -66,15 +45,15 @@ Linearit\"at \brpage{495}
 \]
 Partialbruchzerlegung \brpage{15,498}
 \[
-    \int \frac{f(x)}{P_n(x)} \dd{x} = \sum_{k=1}^n \int \frac{A_k}{x-r_k}\dd{x}
+    \int \frac{f(x)}{P_n(x)} \di{x} = \sum_{k=1}^n \int \frac{A_k}{x-r_k}\di{x}
 \]
 Elementartransformation \brpage{496}
 \[
-    \int f(\lambda x + \ell) \dd{x} = \frac{1}{\lambda} F(\lambda x + \ell) + C
+    \int f(\lambda x + \ell) \di{x} = \frac{1}{\lambda} F(\lambda x + \ell) + C
 \]
 Partielle Integration \brpage{497}
 \[
-    \int u \dd{v} = uv - \int v \dd{u}
+    \int u \di{v} = uv - \int v \di{u}
 \]
 Potenzenregel \brpage{496}
 \[
@@ -87,7 +66,7 @@ Logaritmusregel \brpage{496}
 Allgemeine Substutution \brpage{497}\\
  \(x = g(u)\), und \(\dd{x} = g'(u)\dd{u}\)
 \[
-    \int f(x) \dd{x} = \int (f\circ g) ~ g' \dd{u} = \int \frac{f \circ g}{(g^{-1})'\circ g} \dd{u} 
+    \int f(x) \di{x} = \int (f\circ g) ~ g' \di{u} = \int \frac{f \circ g}{(g^{-1})'\circ g} \di{u} 
 \]
 Universalsubstitution \brpage{504}
 \begin{align*}
@@ -96,48 +75,50 @@ Universalsubstitution \brpage{504}
 \end{align*}
 Womit
 \[
-    \int f(\sin(x), \cos(x), \tan(x)) \dd{x} = \int g(t) \dd{t}
+    \int f(\sin(x), \cos(x), \tan(x)) \di{x} = \int g(t) \di{t}
 \]
 
 \subsection{Uneigentliches Integral \brpage{520}}
 \begin{align*}
-    \int\limits_a^\infty f \dd{x} &= \lim_{B \to \infty} \int\limits_a^B f \dd{x} \\
-    \int\limits_{-\infty}^b f \dd{x} &= \lim_{A \to -\infty} \int\limits_A^b f \dd{x} \\
-    \int\limits_{-\infty}^\infty f \dd{x} &= \lim_{\substack{A \to +\infty \\ B \to -\infty}} \int\limits_A^B f \dd{x}
+    \int\limits_a^\infty f \di{x} &= \lim_{B \to \infty} \int\limits_a^B f \di{x} \\
+    \int\limits_{-\infty}^b f \di{x} &= \lim_{A \to -\infty} \int\limits_A^b f \di{x} \\
+    \int\limits_{-\infty}^\infty f \di{x} &= \lim_{\substack{A \to +\infty \\ B \to -\infty}} \int\limits_A^B f \di{x}
 \end{align*}
 Wenn \(f\) im Punkt \(u \in (a,b)\) nicht definiert ist.
 \begin{equation} \label{eqn:int-with-pole}
-    \int\limits_a^b f \dd{x} = 
-    \lim_{\epsilon\to +0} \int\limits_a^{u-\epsilon} f \dd{x}
-    + \lim_{\delta\to +0} \int\limits_{u+\delta}^b f \dd{x}
+    \int\limits_a^b f \di{x} = 
+    \lim_{\epsilon\to +0} \int\limits_a^{u-\epsilon} f \di{x}
+    + \lim_{\delta\to +0} \int\limits_{u+\delta}^b f \di{x}
 \end{equation}
 
 \subsection{Cauchy Hauptwert \brpage{523}}
 Der C.H. (oder PV f\"ur \emph{Principal Value} auf Englisch) eines uneigentlichen Integrals ist der Wert, wenn in einem Integral wie \eqref{eqn:int-with-pole} beide Grenzwerte mit der gleiche Geschwindigkeit gegen 0 streben.
 \[
-    \text{C.H.} \int\limits_a^b f \dd{x} = 
-    \lim_{\epsilon\to +0} \left( \int\limits_a^{u-\epsilon} f \dd{x}
-    + \int\limits_{u+\epsilon}^b f \dd{x} \right)
+    \text{C.H.} \int\limits_a^b f \di{x} = 
+    \lim_{\epsilon\to +0} \left( \int\limits_a^{u-\epsilon} f \di{x}
+    + \int\limits_{u+\epsilon}^b f \di{x} \right)
 \]
 Zum Beispiel \(x^{-1}\) ist nicht \"uber \(\mathbb{R}\) integrierbar, wegen des Poles bei 0. Aber intuitiv wie die Symmetrie vorschlagt
 \[
-    \text{C.H.} \int\limits^\infty_{-\infty} \frac{1}{x} \dd{x} = 0
+    \text{C.H.} \int\limits^\infty_{-\infty} \frac{1}{x} \di{x} = 0
 \]
 
 \subsection{Majorant-, Minorantenprinzip und Konvergenzkriterien \brpage{521,473,479,481}}
 
 Gilt f\"ur die Funktionen \(0 < f(x) \leq g(x)\) mit \(x \in [a,\infty)\)
 \[
-    \text{konvergiert } \int\limits_a^\infty g \dd{x} 
-    \implies \text{ konvergiert } \int\limits_a^\infty f \dd{x}
+    \text{konvergiert } \int\limits_a^\infty g \di{x} 
+    \implies \text{ konvergiert } \int\limits_a^\infty f \di{x}
 \]
 Die selbe gilt umgekehrt f\"ur Divergenz. Wenn \(0 < h(x) \leq f(x)\) 
 \[
-    \text{divergiert } \int\limits_a^\infty h \dd{x} 
-    \implies \text{ divergiert } \int\limits_a^\infty f \dd{x}
+    \text{divergiert } \int\limits_a^\infty h \di{x} 
+    \implies \text{ divergiert } \int\limits_a^\infty f \di{x}
 \]
 \(g\) und \(h\) hei{\ss}en Majorant und Minorant bzw.
 
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
 \section{Implizite Ableitung \brpage{448}}
 \begin{alignat*}{3}
   (af)' &= af' &\quad&& (u(v(x)))' &= u'(v)v' \\
@@ -153,6 +134,7 @@ Allgemeiner f\"ur die implizite Funktion \(F(x,y) = 0\)
 	\pderiv{F}{x} + \pderiv{F}{y} y' = 0
 \]
 
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 
 \section{Differentialgeometrie}
 \subsection{Ebene Kurven \brpage{250}}
@@ -191,8 +173,8 @@ Wenn \(\dot{\psi} \neq 0\) ist dann \(x = \phi \circ \psi^{-1}(y)\)
 \subsubsection{Bogenl\"ange \brpage{251,514}} \label{sec:arc-length}
 Weitere Formeln (z.B. polar) findet man in Tab. \ref{tab:plane-curves-big}.
 \[
-    \ell = \int\limits_a^b \sqrt{1 + (f')^2} \dd{x} 
-    = \int\limits_{t_0}^{t_1} |\vec{\dot{c}}| \dd{t}
+    \ell = \int\limits_a^b \sqrt{1 + (f')^2} \di{x} 
+    = \int\limits_{t_0}^{t_1} |\dot{\vec{c}}| \di{t}
 \]
 
 \subsubsection{Umparametrisierung nach Bogenl\"ange}
@@ -203,14 +185,14 @@ Sei die Kurve \(\vec{\Lambda}(t), t \in I\) mindestens einmal differenzierbar, u
 Die neue Parametrisierung hat \(\vec{\Lambda}' = 1\) (nach \(s\) differenziert), d.h. die erste Ableitung ist der tangent Einheitsvector!
 
 \subsubsection{Tangente und Normalvektor \brpage{251,252}}
-F\"ur eine ebene Kurve \(\vec{\Lambda}(t)\) \(\tau, t \in I\), der Vektor \(\vec{\dot\Lambda}(\tau)\) ist immer an \(\vec{\Lambda}(\tau)\) tangent. \(\vec{\ddot{\Lambda}}(\tau)\) ist zur Kurve normal.
+F\"ur eine ebene Kurve \(\vec{\Lambda}(t)\) \(\tau, t \in I\), der Vektor \(\dot{\vec\Lambda}(\tau)\) ist immer an \(\vec{\Lambda}(\tau)\) tangent. \(\ddot{\vec{\Lambda}}(\tau)\) ist zur Kurve normal.
 \begin{align*}
-    \vec{\dot{\Lambda}}
+    \dot{\vec{\Lambda}}
     &= \deriv{y}{x} 
     = \frac{\dot{y}}{\dot{x}} 
     = \frac{r'\sin\varphi + r\cos\varphi}{r'\cos\varphi - r\sin\varphi}
     \\[.9em]
-    \vec{\ddot{\Lambda}}
+    \ddot{\vec{\Lambda}}
     &= \deriv[2]{y}{x}
     = \frac{\ddot{y}\dot{x} - \ddot{x}\dot{y}}{\dot{x}^3}
 \end{align*}
@@ -237,7 +219,7 @@ Der Kr\"ummungskreis hat Ma{\ss}zahl \(\rho = 1/|\kappa|\) und Mittelpunkt \(P_c
     P_c = \begin{pmatrix} x_c \\ y_c \end{pmatrix} 
     = \begin{pmatrix} x \\ y \end{pmatrix} + \frac{1}{\kappa} \vec{\hat{n}}
 \]
-Wobei \(\vec{\hat{n}} = \vec{\ddot{\Lambda}}^0\) ist der Normalvektor.
+Wobei \(\uvec{n} = \vec{\ddot{\Lambda}}^0\) ist der Normalvektor.
 
 \subsubsection{Konvexit\"at}
 Sei die Kurve \(\Lambda\) durch \(f \in C^2\) auf \([a,b]\) gegeben.
@@ -315,6 +297,8 @@ Der parameter \(\varepsilon\) \"andert die Gestalt folgendermaßen
     r = a \sqrt{2\cos(2\varphi)}
 \]
 
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
 \section{Reihen}
 \subsection{Bemerkenswerte Rehien \brpage{19,477}}
 \paragraph{Arithmetische Reihe}
@@ -415,10 +399,11 @@ Somit folgt:
     \implies \text{konvergiert } s
 \]
 
-\subsection{Potenzreihen} \label{sec:powerseries}
-\[
-    P = \sum_{n=0}^\infty a_n x^n = a_0 + a_1 x + a_2 x^2 + \cdots
-\]
+\subsection{Potenzreihen \brpage{482}} \label{sec:powerseries}
+\begin{align*}
+    P &= \sum_{n=0}^\infty a_n (x - x_0)^n \\
+      &= a_0 + a_1 (x - x_0) + a_2 (x - x_0)^2 + \cdots
+\end{align*}
 Sei \(\lim_{n\to\infty} \sqrt{|a_n|} = a \) (Wurzelkriterium)
 \begin{align*}
     a = 0 &\implies \text{ abs. konvergent} \\
@@ -429,8 +414,84 @@ Sei \(\lim_{n\to\infty} \sqrt{|a_n|} = a \) (Wurzelkriterium)
         |x| > 1/a: \text{ divergent}
     \end{cases}
 \end{align*}
-\subsubsection{Konvergenzradius/bereich}
-Sei \(\langle \sqrt{|a_n|}\rangle\) nicht beschr\"ankt, so ist \(P\) nur f\"ur \(x=0\) konvergent.
+
+\subsubsection{Konvergenzradius/-bereich \brpage{482}}
+Sei \(\langle \sqrt{|a_n|}\rangle\) nicht beschr\"ankt (\(a = \infty\)), so ist \(P\) nur f\"ur \(x=x_0\) konvergent (\(r = 1/\infty = 0^+\)). Sonst existiert der \emph{Konvergenzradius} \(r \in\mathbb{R}^+\):
+\begin{align*}
+    r &= \limsup_{n\to\infty} \left| \frac{a_n}{a_{n+1}} \right| &
+    r &= \left( \limsup_{n\to\infty} \sqrt[n]{| a_n |} \right)^{-1}
+\end{align*}
+Innerhalb des \emph{Konvergenzbereiches} \(\{ x : |x - x_0| < r\} = (x_0-r; x_0+r)\) ist die Reihe absolut konvergent, ausserhalb dessen ist sie divergent.
+Wenn \(r = \infty\) dann ist die Reihe abs. konvergent.
+
+\subsubsection{Funktion darstellen}
+
+\subsubsection{Ableitung und Integration}
+Sei \(P\) eine Potenzreihe mit dem Konvergenzradius \(r > 0\), die eine Funktion \(f\) darstellt. Innerhalb des Konvergenzradius gilt:
+\begin{align*}
+    f'(x) &= \left(\sum_{n=0}^\infty a_n x^n \right)' 
+        = \sum_{n=1}^\infty n a_n x^{n-1} \\
+    \int f \di{x} &= \int \sum_{n=0}^\infty a_n x^n \di{x}
+        = \sum_{n=0}^\infty \frac{a_n}{n+1} x^{n+1} + C
+\end{align*}
+H\"ohere Ableitungen:
+\[
+    f^{(k)}(x) = \left(\sum_{n=0}^\infty a_n x^n \right)^{(k)} 
+    = \sum_{n=k}^\infty \frac{n!}{(n-k)!} a_n x^{n-k}
+\]
+
+\subsubsection{Taylor Polynom und Reihe \brpage{484}}
+Der Taylor-Polynom approximiert eine Funktion um einen Entwicklungspunkt \(a\).
+\begin{align*}
+  T_n(x, a) &= \sum_{k=0}^n\frac{f^{(k)}(a)}{k!}(x-a)^k + R_n\\
+  &= f(a) + \frac{f'(a)}{1!}(x-a)^1 + \frac{f''(a)}{2!}(x-a)^2 + \cdots
+\end{align*}
+Die Restgliede sind
+\begin{align*}
+  R_n = \frac{f^{(n+1)}(\xi)}{(n+1)!} (x-a)^{(n+1)} \qquad (\xi \in (x;a))
+\end{align*}
+Wenn \(\lim_{n\to\infty}R_n = 0\) dann \(f(x) = T(x,a)\), d.h. die Taylor Rehie zu \(f\) identisch ist (Konvergenzradius \(r = \infty\)). Sonst berechnet man der \emph{worst case} Fehler \(\epsilon \geq |R_n|\) und der dazugeh\"orig \(\hat{\xi} = \underset{\xi}{\arg}\max|R_n|\):
+\begin{align*}
+  \epsilon
+  = \max |R_n|
+  = \max \left[\frac{|f^{(n+1)}(\xi)|}{(n+1)!} |x-a|^{(n+1)}\right]
+\end{align*}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\section{Differentialgleichungen}
+\subsection{Definition}
+Eine Funktion \(y = \varphi(x)\) hei{\ss}t L\"osung der \(n\)-te Ordnung Differentialgleichung
+\[
+    F(x, y, y', y'', \dots, y^{(n)}) = 0
+\]
+auf dem Intervall \(I\), wenn
+\begin{itemize}
+    \item \(\varphi\) auf \(I\) \(n\)-mal differenzierbar ist
+    \item \(\forall x \in I: F(x, \varphi, \varphi', \varphi'', \dots, \varphi^{(n)}) = 0\)
+\end{itemize}
+
+Gegeben seien auch der \emph{Anfangspunkt}
+\(x_0\), und
+die \emph{Anfangswerte} oder \emph{Anfangsbedingungen}
+\(y_0 = y(x_0)\),
+\(y_1 = y'(x_0)\),
+\dots,
+\(y_{n-1} = y^{(n-1)}(x_0) \in \mathbb{R}\).
+Dann hat man ein \emph{Anfangswertproblem}, der eine \emph{spezifische} L\"osung ergibt.
+
+\subsection{DGL 1. Ordnung}
+Sei \(y' = f(x, y)\)
+
+\paragraph{Separation} Wenn die DGL die Form \(y' = g(y) f(x)\) hat, dann l\"asst sie sich mit der Umformung
+\begin{gather*}
+    \frac{y'}{g(y)} = f(x) \implies \int \frac{\dd{y}}{g(y)} = \int f(x) \di{x} \\
+    y = k
+\end{gather*}
+
+
+\subsection{DGL 2. Ordnung}
+
 
 \begin{thebibliography}{3}
   \bibitem{hsr}
@@ -487,31 +548,31 @@ Anstieg \brpage{448}
     & \dot{x}/\dot{y}
 \\
 Fl\"ache \brpage{493}
-    & \int\limits_a^b |f(x)| \dd{x}
-    & \frac{1}{2}\int\limits_\alpha^\beta r(\varphi)^2 \dd{\varphi}
-    & \frac{1}{2}\int\limits_{t_0}^{t_1} x\dot{y} - \dot{x}y \dd{t} = \frac{1}{2}\int\limits_{t_0}^{t_1}\det(\vec{c},\dot{\vec{c}}) \dd{t}
+    & \int\limits_a^b |f(x)| \di{x}
+    & \frac{1}{2}\int\limits_\alpha^\beta r(\varphi)^2 \di{\varphi}
+    & \frac{1}{2}\int\limits_{t_0}^{t_1} x\dot{y} - \dot{x}y \di{t} = \frac{1}{2}\int\limits_{t_0}^{t_1}\det(\vec{c},\dot{\vec{c}}) \di{t}
 \\
 Bogenl\"ange \brpage{251,514}
-    & \int\limits_a^b \sqrt{1 + (f')^2} \dd{x}
-    & \int\limits_\alpha^\beta \sqrt{(r')^2 + r^2} \dd{\varphi}
-    & \int\limits_{t_0}^{t_1} \sqrt{\dot{x}^2 + \dot{y}^2} \dd{t} = \int\limits_{t_0}^{t_1} |\vec{\dot{c}}| \dd{t}
+    & \int\limits_a^b \sqrt{1 + (f')^2} \di{x}
+    & \int\limits_\alpha^\beta \sqrt{(r')^2 + r^2} \di{\varphi}
+    & \int\limits_{t_0}^{t_1} \sqrt{\dot{x}^2 + \dot{y}^2} \di{t} = \int\limits_{t_0}^{t_1} |\dot{\vec{c}}| \di{t}
 \\
 Kr\"ummung \(\kappa\) \brpage{254}
     & \frac{f''}{\sqrt{1+(f')^2}^3}
     & \frac{2(r')^2 - r r'' + r^2}{\sqrt{r^2 + (r')^2}^3}
     & \frac{\ddot{y}\dot{x} - \ddot{x}\dot{y}}{\sqrt{\dot{x}^2 + \dot{y}^2}^3} 
-    = \frac{\det(\vec{\dot{c}},\vec{\ddot{c}})}{|\vec{\dot{c}}|^3}
+    = \frac{\det(\dot{\vec{c}},\ddot{\vec{c}})}{|\dot{\vec{c}}|^3}
 \\[1em]
 \midrule
 Rotationsvolumen um \(x\) \brpage{516}
-    & \pi \left|\int\limits_a^b y^2 \dd{x} \right|
-    & \pi \left|\int\limits_{t_0}^{t_1} y \dot{x} \dd{t} \right|
-    & \pi \left|\int\limits_\alpha^\beta r^2 \sin^2 \varphi (r'\cos\varphi - r\sin\varphi) \dd{\varphi} \right|
+    & \pi \left|\int\limits_a^b y^2 \di{x} \right|
+    & \pi \left|\int\limits_{t_0}^{t_1} y \dot{x} \di{t} \right|
+    & \pi \left|\int\limits_\alpha^\beta r^2 \sin^2 \varphi (r'\cos\varphi - r\sin\varphi) \di{\varphi} \right|
 \\
 Rotationsoberfl\"ache um \(x\) \brpage{515}
-    & 2\pi \int\limits_a^b |y| \sqrt{1 + (y')^2} \dd{x}
-    & 2\pi \int\limits_\alpha^\beta |r\sin(\varphi)| \sqrt{(r')^2 + r^2} \dd{\varphi}
-    & 2\pi \int\limits_{t_0}^{t_1} |y| \sqrt{\dot{x}^2 + \dot{y}^2} \dd{t}
+    & 2\pi \int\limits_a^b |y| \sqrt{1 + (y')^2} \di{x}
+    & 2\pi \int\limits_\alpha^\beta |r\sin(\varphi)| \sqrt{(r')^2 + r^2} \di{\varphi}
+    & 2\pi \int\limits_{t_0}^{t_1} |y| \sqrt{\dot{x}^2 + \dot{y}^2} \di{t}
 \\
 % Rotationsvolumen um \(y\) \\
 % Rotationsoberfl\"ache um \(y\) \\
diff --git a/hsrstud.sty b/hsrstud.sty
new file mode 100644
index 0000000..a95150e
--- /dev/null
+++ b/hsrstud.sty
@@ -0,0 +1,395 @@
+%%
+%% This is file `hsrstud.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% hsrstud.dtx  (with options: `package')
+%% This document is part of the HSRStud LaTeX Package
+%% 
+%% THE FOLLOWING WORK IS UNDER THE CC BY-SA 4.0 LICENSE
+%% 
+%% You are free to
+%% ---------------
+%%   * Share -- Copy and redistribute the material in any medium or format
+%%   * Adapt -- Remix, transform, and build upon the material for any
+%%              purpose, even commercially
+%% 
+%% The licensor cannot revoke these freedoms as long as you follow the
+%% license terms.
+%% 
+%% Under the following terms
+%% -------------------------
+%%   * Attribution
+%%     You must give appropriate credit, provide a link to the license, and
+%%     indicate if changes were made. You may do so in any reasonable
+%%     manner, but not in any way that suggests the licensor endorses you
+%%     or your use.
+%% 
+%%   * ShareAlike
+%%     If you remix, transform, or build upon the material you must
+%%     distribute your contributions under the same license as the
+%%     original.
+%% 
+%%   * No additional restrictions
+%%     You may not apply legal terms or technological measures that
+%%     legally restrict others from doing anything the license permits.
+%% 
+%% Notice
+%% ------
+%% You do not have to comply with the license for elements of the material
+%% in the public domain or where your use is permitted by an applicable
+%% exception or limitation.
+%% 
+%% No warranties are given. The license may not give you all of the
+%% permissions necessary for your intended use. For example, other rights
+%% such as publicity, privacy, or moral rights may limit how you use the
+%% material.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{hsrstud}[2020/04/16 v0.1 HSR-Stud Macros]
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+%% Dependencies ((
+\RequirePackage{amsmath}
+\RequirePackage{amssymb}
+\RequirePackage{bm}
+
+\RequirePackage{esint}
+\PassOptionsToPackage{b}{esvect}
+\RequirePackage{esvect}
+
+\RequirePackage{xcolor}
+\RequirePackage{hyperref}
+\RequirePackage{listings}
+
+\RequirePackage{iftex}
+\RequirePackage{kvoptions}
+%% ))
+
+\SetupKeyvalOptions{
+    family=hsr,
+    prefix=hsr@
+}
+
+%% Enable backwards-compatibility
+\DeclareBoolOption[false]{legacy}
+
+%% Do not renew LaTeX Macros
+\DeclareBoolOption[false]{dontrenew}
+
+%% Vector style
+\DeclareBoolOption[false]{arrowvec}
+\DeclareComplementaryOption{boldvec}{arrowvec}
+
+%% Vector derivative style
+\DeclareBoolOption[false]{textvecdiff}
+\DeclareComplementaryOption{delvecdiff}{textvecdiff}
+
+%% Process options
+\ProcessLocalKeyvalOptions*
+
+%% TODO: change letters in german
+\newcommand{\bookref}[1]{\texttt{\textcolor{hsr-mauve}{P.#1}}}
+\newcommand{\notesref}[1]{\texttt{\textcolor{hsr-blue}{S.#1}}}
+\newcommand{\lectureref}[1]{\texttt{\textcolor{hsr-lakegreen}{L.#1}}}
+
+%% Theming for hyperref and listings ((
+\hypersetup{
+    colorlinks=true,
+    linkcolor=hsr-black,
+    citecolor=hsr-mauve,
+    filecolor=hsr-black,
+    urlcolor=hsr-blue,
+}
+
+%% Common listings settings
+\lstdefinestyle{hsr-base}{
+    belowcaptionskip=\baselineskip,
+    breaklines=true,
+    frame=none,
+    inputencoding=utf8,
+    % margin
+    xleftmargin=\parindent,
+    % numbers
+    numbers=left,
+    numbersep=5pt,
+    numberstyle=\ttfamily\footnotesize\color{hsr-black40},
+    % background
+    backgroundcolor=\color{white},
+    showstringspaces=false,
+    % default language
+    language=[LaTeX]TeX,
+    % font
+    basicstyle=\ttfamily\small,
+    identifierstyle=\color{hsr-black},
+    keywordstyle=\color{hsr-blue},
+    commentstyle=\color{hsr-black40},
+    stringstyle=\color{hsr-mauve80},
+}
+
+%% Define missing languages / aliases
+\lstdefinelanguage{LaTeX}{
+    language=[LaTeX]Tex
+}
+
+%% Set style
+\lstset{style=hsr-base, escapechar=`}
+%%))
+
+%% Vector ((
+\newcommand{\hsrvecbold}[1]{\mathbf{\boldsymbol{#1}}}
+\newcommand{\hsrvecarrow}[1]{\vv{\mathrm{#1}}} % from esvect
+
+\newcommand{\@hsrvecf}[1]{\hsrvecbold{#1}}
+\ifhsr@arrowvec
+    \renewcommand{\@hsrvecf}[1]{\hsrvecarrow{#1}}
+\fi
+
+\ifhsr@dontrenew
+    \newcommand{\vc}{\@hsrvecf}
+\else
+    % save previous command
+    \newcommand{\vaccent}{\v}
+    \newcommand{\oldvec}{\vec}
+    % redefine
+    \renewcommand{\v}[1]{\@hsrvecf{#1}}
+    \renewcommand{\vec}[1]{\@hsrvecf{#1}}
+\fi
+%%))
+
+%% Unit vector ((
+\newcommand{\hsruvecbold}[1]{\vec{\hat{#1}}}
+\newcommand{\hsruvecarrow}[1]{\hat{\mathrm{#1}}}
+\newcommand{\@hsruvecf}[1]{\hsruvecbold{#1}}
+\ifhsr@arrowvec
+    \renewcommand{\@hsruvecf}[1]{\hsruvecarrow{#1}}
+\fi
+
+\newcommand{\uv}[1]{\@hsruvecf{#1}}
+\newcommand{\uvec}[1]{\@hsruvecf{#1}}
+%%))
+
+%% Products ((
+\newcommand{\dotp}{\boldsymbol\cdot}
+\newcommand{\crossp}{\boldsymbol\times}
+\newcommand{\cross}{\crossp}
+%%))
+
+\newcommand{\mtx}[1]{\mathrm{#1}}
+\newcommand{\ten}[1]{\underline{\mathbf{\boldsymbol{#1}}}}
+
+\newcommand{\heq}{\stackrel{\hat{\texttt{H}}}{=}}
+
+\newcommand{\dd}[2][]{\mathrm{d}^{#1} #2}
+\newcommand{\di}[2][]{\,\dd[#1]{#2}}
+
+\newcommand{\deriv}[3][]{\frac{\dd[#1]{#2}}{\dd[]{#3^{#1}}}}
+\newcommand{\pderiv}[3][]{\frac{\partial^{#1} #2}{\partial #3^{#1}}}
+
+%% Gradient ((
+\ifhsr@textvecdiff
+    \newcommand{\grad}{\text{grad }}
+\else
+    \newcommand{\grad}{\nabla}%
+\fi
+%% ))
+
+%% Divergence ((
+\ifhsr@textvecdiff
+    \newcommand{\@hsrdivf}{\text{div }}
+\else
+    \newcommand{\@hsrdivf}{\nabla\cdot}
+\fi
+\ifhsr@dontrenew
+    \newcommand{\divg}{\@hsrdivf}
+\else
+    \let\divsymb=\div
+    \renewcommand{\div}{\@hsrdivf}
+\fi
+%% ))
+
+%% Curl ((
+\ifhsr@textvecdiff
+    \newcommand{\curl}{\text{curl }}
+\else
+    \newcommand{\curl}{\nabla\times}
+\fi
+%% ))
+
+%% laplacian ((
+\ifhsr@textvecdiff
+    \newcommand{\laplace}{\text{div grad }}
+\else
+    \newcommand{\laplace}{\nabla^2}
+\fi
+%% ))
+
+\definecolor{hsr-blue}{HTML}{0065A3}
+\definecolor{hsr-blue80}{HTML}{3384B5}
+\definecolor{hsr-blue60}{HTML}{66A3C8}
+\definecolor{hsr-blue40}{HTML}{99C1DA}
+\definecolor{hsr-blue20}{HTML}{CCE0ED}
+
+\definecolor{hsr-mauve}{HTML}{6E1C50}
+\definecolor{hsr-mauve80}{HTML}{8B4973}
+\definecolor{hsr-mauve60}{HTML}{A87796}
+\definecolor{hsr-mauve40}{HTML}{C5A4B9}
+\definecolor{hsr-mauve20}{HTML}{E2D2DC}
+
+\definecolor{hsr-lakegreen}{HTML}{548C86}
+\definecolor{hsr-lakegreen80}{HTML}{76A39E}
+\definecolor{hsr-lakegreen60}{HTML}{98BAB6}
+\definecolor{hsr-lakegreen40}{HTML}{BBD1CF}
+\definecolor{hsr-lakegreen20}{HTML}{DDE8E7}
+
+\definecolor{hsr-reed}{HTML}{7B6951}
+\definecolor{hsr-reed80}{HTML}{958774}
+\definecolor{hsr-reed60}{HTML}{B0A597}
+\definecolor{hsr-reed40}{HTML}{CAC3B9}
+\definecolor{hsr-reed20}{HTML}{E5E1DC}
+
+\definecolor{hsr-petrol}{HTML}{00738D}
+\definecolor{hsr-petrol80}{HTML}{338FA4}
+\definecolor{hsr-petrol60}{HTML}{66ABBB}
+\definecolor{hsr-petrol40}{HTML}{99C7D1}
+\definecolor{hsr-petrol20}{HTML}{CCE3E8}
+
+\definecolor{hsr-basswood}{HTML}{BABD5D}
+\definecolor{hsr-basswood80}{HTML}{C8CA7D}
+\definecolor{hsr-basswood60}{HTML}{D6D79E}
+\definecolor{hsr-basswood40}{HTML}{E3E5BE}
+\definecolor{hsr-basswood20}{HTML}{F1F2DF}
+
+\definecolor{hsr-lightgrey}{HTML}{C6C7C8}
+\definecolor{hsr-lightgrey80}{HTML}{D1D2D3}
+\definecolor{hsr-lightgrey60}{HTML}{DDDDDE}
+\definecolor{hsr-lightgrey40}{HTML}{E8E8E9}
+\definecolor{hsr-lightgrey20}{HTML}{F4F4F4}
+
+\definecolor{hsr-black}{HTML}{1A171B}
+\definecolor{hsr-black80}{HTML}{484549}
+\definecolor{hsr-black60}{HTML}{767476}
+\definecolor{hsr-black40}{HTML}{A4A2A4}
+\definecolor{hsr-black20}{HTML}{D1D1D1}
+
+\ifhsr@legacy
+%% Makros für Titel, Autor und Datum ((
+%% Dank diesem Makro stehen Titel, Autor und Datum überall im Dokument zur verfügung
+%% Date hat zudem den Default-Wert \today
+\def\@Title{}
+\def\@Author{}
+\def\@Date{\today}
+\newcommand{\Title}{\@Title}
+\newcommand{\Author}{\@Author}
+\newcommand{\Date}{\@Date}
+\AtBeginDocument{%
+  \let\@Title\@title
+  \let\@Author\@author
+  \let\@Date\@date
+}
+%% ))
+
+%% Makros für den Arraystretch  ((
+%% bei uns meist in Tabellen genutzt, welche Formeln enthalten
+
+%% Default Value
+\def\@ArrayStretchDefault{1} % Entspricht der Voreinstellung von Latex
+
+%% Setzt einen neuen Wert für den arraystretch
+\newcommand{\setArrayStretch}[1]{\renewcommand{\arraystretch}{#1}}
+
+%% Setzt den arraystretch zurück auf den default wert
+\newcommand{\resetArrayStretch}{\renewcommand{\arraystretch}{\@ArrayStretchDefault}}
+
+%% Makro zum setzten des Default arraystretch.
+%% Kann nur in der Präambel verwendet werden.
+\newcommand{\setDefaultArrayStretch}[1]{%
+\AtBeginDocument{%
+\def\@ArrayStretchDefault{#1}
+\renewcommand{\arraystretch}{#1}
+}
+}
+%% ))
+
+%% Command for images in table
+\newcommand\tabImg[2][]{%
+    \raisebox{0pt}[\dimexpr\totalheight+\dp\strutbox\relax][\dp\strutbox]{%
+        \includegraphics[#1]{#2}%
+    }%
+}
+
+%% Makros für Verweise auf ein Buch oder Skript ((
+\newcommand{\buch}[1]{\texorpdfstring{$_{\textcolor{HSRLakeGreen}{\mbox{\small{#1}}}}$}{}}
+\newcommand{\buchSeite}[1]{\texorpdfstring{\ensuremath{_{\textcolor{red}{\mbox{\small{ S#1}}}}}}{}}
+\newcommand{\skript}[1]{\texorpdfstring{$_{\textcolor{HSRReed}{\mbox{\small{#1}}}}$}{}}
+\newcommand{\formelbuch}[1]{$_{\textcolor{red}{\mbox{\small{S#1}}}}$}
+%% ))
+
+\setlength{\parindent}{0pt}
+
+%% Todo command
+\newcommand{\todo}[1]{\textbf{\color{red}{TO DO: #1}}}
+
+%% Color names ((
+\colorlet{HSRWhite}{white}
+
+\colorlet{HSRBlue}{hsr-blue}
+\colorlet{HSRBlue80}{hsr-blue80}
+\colorlet{HSRBlue60}{hsr-blue60}
+\colorlet{HSRBlue40}{hsr-blue40}
+\colorlet{HSRBlue20}{hsr-blue20}
+
+\colorlet{HSRLightGray}{hsr-lightgrey}
+\colorlet{HSRLightGray80}{hsr-lightgrey80}
+\colorlet{HSRLightGray60}{hsr-lightgrey60}
+\colorlet{HSRLightGray40}{hsr-lightgrey40}
+\colorlet{HSRLightGray20}{hsr-lightgrey20}
+
+\colorlet{HSRSchwarz}{hsr-black}
+\colorlet{HSRSchwarz80}{hsr-black80}
+\colorlet{HSRSchwarz60}{hsr-black60}
+\colorlet{HSRSchwarz40}{hsr-black40}
+\colorlet{HSRSchwarz20}{hsr-black20}
+
+\colorlet{HSRHematite}{hsr-mauve}
+\colorlet{HSRHematite80}{hsr-mauve80}
+\colorlet{HSRHematite60}{hsr-mauve60}
+\colorlet{HSRHematite40}{hsr-mauve40}
+\colorlet{HSRHematite20}{hsr-mauve20}
+
+\colorlet{HSRLakeGreen}{hsr-lakegreen}
+\colorlet{HSRLakeGreen80}{hsr-lakegreen80}
+\colorlet{HSRLakeGreen60}{hsr-lakegreen60}
+\colorlet{HSRLakeGreen40}{hsr-lakegreen40}
+\colorlet{HSRLakeGreen20}{hsr-lakegreen20}
+
+\colorlet{HSRReed}{hsr-reed}
+\colorlet{HSRReed80}{hsr-reed80}
+\colorlet{HSRReed60}{hsr-reed60}
+\colorlet{HSRReed40}{hsr-reed40}
+\colorlet{HSRReed20}{hsr-reed20}
+
+\colorlet{HSRPetrol}{hsr-petrol}
+\colorlet{HSRPetrol80}{hsr-petrol80}
+\colorlet{HSRPetrol60}{hsr-petrol60}
+\colorlet{HSRPetrol40}{hsr-petrol40}
+\colorlet{HSRPetrol20}{hsr-petrol20}
+
+\colorlet{HSRBasswood}{hsr-basswood}
+\colorlet{HSRBasswood80}{hsr-basswood80}
+\colorlet{HSRBasswood60}{hsr-basswood60}
+\colorlet{HSRBasswood40}{hsr-basswood40}
+\colorlet{HSRBasswood20}{hsr-basswood20}
+%% ))
+
+\fi %% ifhsr@legacy
+
+\endinput
+%%
+%% End of file `hsrstud.sty'.
diff --git a/hsrzf.cls b/hsrzf.cls
new file mode 100644
index 0000000..ad9417f
--- /dev/null
+++ b/hsrzf.cls
@@ -0,0 +1,236 @@
+%%
+%% This is file `hsrzf.cls',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% hsrstud-classes.dtx  (with options: `hsrzf')
+%% This document is part of the HSRStud LaTeX Package
+%% 
+%% THE FOLLOWING WORK IS UNDER THE CC BY-SA 4.0 LICENSE
+%% 
+%% You are free to
+%% ---------------
+%%   * Share -- Copy and redistribute the material in any medium or format
+%%   * Adapt -- Remix, transform, and build upon the material for any
+%%              purpose, even commercially
+%% 
+%% The licensor cannot revoke these freedoms as long as you follow the
+%% license terms.
+%% 
+%% Under the following terms
+%% -------------------------
+%%   * Attribution
+%%     You must give appropriate credit, provide a link to the license, and
+%%     indicate if changes were made. You may do so in any reasonable
+%%     manner, but not in any way that suggests the licensor endorses you
+%%     or your use.
+%% 
+%%   * ShareAlike
+%%     If you remix, transform, or build upon the material you must
+%%     distribute your contributions under the same license as the
+%%     original.
+%% 
+%%   * No additional restrictions
+%%     You may not apply legal terms or technological measures that
+%%     legally restrict others from doing anything the license permits.
+%% 
+%% Notice
+%% ------
+%% You do not have to comply with the license for elements of the material
+%% in the public domain or where your use is permitted by an applicable
+%% exception or limitation.
+%% 
+%% No warranties are given. The license may not give you all of the
+%% permissions necessary for your intended use. For example, other rights
+%% such as publicity, privacy, or moral rights may limit how you use the
+%% material.
+
+
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesClass{hsrzf}[2020/04/05 v0.1 HSRStud Summary class]
+
+
+
+%% Coding Packages (Dependencies)
+\RequirePackage{iftex}
+\RequirePackage{kvoptions}
+\RequirePackage{etoolbox}
+
+%% Class options
+\SetupKeyvalOptions{
+    family=hsrzf,
+    prefix=hsrzf@
+}
+
+%% Use header and footer
+\DeclareBoolOption[false]{header}
+\DeclareComplementaryOption{noheader}{header}
+
+%% Use a sans-serif font
+\DeclareBoolOption[false]{sans}
+\DeclareBoolOption[false]{concrete}
+
+%% Configures the geometry package
+%%
+%% Possible values:
+%%  - huge    (45mm, 40mm)
+%%  - large   (35mm, 35mm)
+%%  - big     (30mm, 30mm)
+%%  - normal  (25mm, 30mm)
+%%  - small   (20mm, 20mm)
+%%  - tiny    (10mm, 20mm)
+%%  - minimal ( 5mm, 20mm)
+\DeclareStringOption{margin}[huge]
+
+%% Configures the polyglossia package
+
+%% Pass other options to the class
+\DeclareDefaultOption{%
+    \ifx\CurrentOptionValue\relax
+        \PackageWarningNoLine{\@currname}{%
+            Unknown option ``\CurrentOption''\MessageBreak
+            is passed to class ``article''%
+        }%
+        % Pass the option to package color.
+        % Again it is better to expand \CurrentOption.
+        \expandafter\PassOptionsToClass
+            \expandafter{\CurrentOption}{article}
+    \else
+        % Package color does not take options with values.
+        % We provide the standard LaTeX error.
+        \@unknownoptionerror
+    \fi
+}
+
+\ProcessKeyvalOptions{hsrzf}
+
+%% Create new metadata fields
+
+%% Required fields
+\newcommand\course[1]{\gdef\hsr@course{#1}}
+\newcommand\hsr@course{\ClassError{hsrzf}{no \noexpand\course given}{}}
+\newcommand\thecourse{\hsr@course}
+
+\newcommand\module[1]{\gdef\hsr@module{#1}}
+\newcommand\hsr@module{\ClassError{hsrzf}{no \noexpand\module given}{}}
+\newcommand\themodule{\hsr@module}
+
+\newcommand\semester[1]{\gdef\hsr@semester{#1}}
+\newcommand\hsr@semester{\ClassError{hsrzf}{no \noexpand\semester given}{}}
+\newcommand\thesemester{\hsr@semester}
+
+%% Optional fields
+\newcommand\institute[1]{\gdef\hsr@institute{#1}}
+\newcommand\hsr@institute{\ClassWarning{hsrzf}{no \noexpand\institute given}{}}
+\newcommand\theinstitute{\hsr@institute}
+
+\newcommand\authoremail[1]{\gdef\hsr@authoremail{#1}}
+\newcommand\hsr@authoremail{\ClassWarning{hsrzf}{no \noexpand\authoremail given}{}}
+\newcommand\theauthoremail{\hsr@authoremail}
+
+\newcommand\maintainer[1]{\gdef\hsr@maintainer{#1}}
+\newcommand\hsr@maintainer{\ClassWarning{hsrzf}{no \noexpand\maintainer given}{}}
+\newcommand\themaintainer{\hsr@maintainer}
+
+\newcommand\contributors[1]{\gdef\hsr@contributors{#1}}
+\newcommand\hsr@contributors{\ClassWarning{hsrzf}{no \noexpand\contributors given}{}}
+\newcommand\thecontributors{\hsr@contributors}
+
+\LoadClass[a4paper]{article}
+
+%% Style deps
+\RequirePackage{geometry}
+\RequirePackage{fancyhdr}
+\RequirePackage{titling}
+\RequirePackage{lastpage}
+\RequirePackage{array}
+
+%% Insert metadata in the pdf
+\PassOptionsToPackage{plainpages=false, pdfpagelabels, pdfusetitle}{hyperref}
+\RequirePackage{hyperref}
+
+
+%% Configure Sans-Serif font
+\ifhsrzf@sans
+\renewcommand{\familydefault}{\sfdefault}
+\fi
+
+%% Configure concrete font
+\ifhsrzf@concrete
+\PassOptionsToPackage{T1}{fontenc}
+\RequirePackage{fontenc}
+\PassOptionsToPackage{boldsans,amssymb}{concmath}
+\RequirePackage{concmath}
+\fi
+
+%% configure geometry
+%% defaults to big
+\newlength{\hsr@hmarginwidth}
+\newlength{\hsr@vmarginheight}
+
+\ifx\hsrzf@margin\@empty
+    \setlength\hsr@hmarginwidth{30mm}
+    \setlength\hsr@vmarginheight{30mm}
+\else
+    \expandafter\ifstrequal\expandafter{\hsrzf@margin}{huge}{
+        \setlength\hsr@hmarginwidth{45mm}
+        \setlength\hsr@vmarginheight{40mm}}{}
+    \expandafter\ifstrequal\expandafter{\hsrzf@margin}{large}{
+        \setlength\hsr@hmarginwidth{35mm}
+        \setlength\hsr@vmarginheight{35mm}}{}
+    \expandafter\ifstrequal\expandafter{\hsrzf@margin}{big}{
+        \setlength\hsr@hmarginwidth{30mm}
+        \setlength\hsr@vmarginheight{30mm}}{}
+    \expandafter\ifstrequal\expandafter{\hsrzf@margin}{normal}{
+        \setlength\hsr@hmarginwidth{25mm}
+        \setlength\hsr@vmarginheight{30mm}}{}
+    \expandafter\ifstrequal\expandafter{\hsrzf@margin}{small}{
+        \setlength\hsr@hmarginwidth{20mm}
+        \setlength\hsr@vmarginheight{20mm}}{}
+    \expandafter\ifstrequal\expandafter{\hsrzf@margin}{tiny}{
+        \setlength\hsr@hmarginwidth{10mm}
+        \setlength\hsr@vmarginheight{20mm}}{}
+    \expandafter\ifstrequal\expandafter{\hsrzf@margin}{minimal}{
+        \setlength\hsr@hmarginwidth{ 5mm}
+        \setlength\hsr@vmarginheight{20mm}}{}
+\fi
+
+
+%% TODO: change vmarginheight if header is on
+\newgeometry{
+    hmargin=\hsr@hmarginwidth,
+    vmargin=\hsr@vmarginheight,
+    marginparsep=0pt,
+    marginpar=0pt,
+}
+
+\fancypagestyle{hsrzf}{%
+    \fancyhf{} % clear
+    \fancyhead[C]{\thetitle}
+    \fancyhead[R]{\rightmark}
+    \fancyhead[L]{\leftmark}
+    \fancyfoot[R]{\@date}
+    \fancyfoot[L]{\theauthor}
+    \renewcommand{\headrulewidth}{.5pt}
+    \renewcommand{\footrulewidth}{.5pt}
+}
+
+\fancypagestyle{hsrzf-norulers}{%
+    \fancyhf{} % clear
+    \fancyhead[C]{\thetitle}
+    \fancyhead[R]{\rightmark}
+    \fancyhead[L]{\leftmark}
+    \fancyfoot[R]{\@date}
+    \fancyfoot[L]{\theauthor}
+    \renewcommand{\headrulewidth}{0pt}
+    \renewcommand{\footrulewidth}{0pt}
+}
+
+\ifhsrzf@header
+\pagestyle{hsrzf}
+\fi
+
+\endinput
+%%
+%% End of file `hsrzf.cls'.