diff --git a/scientificcomputing-script.tex b/scientificcomputing-script.tex
index 007cbe6..7c9af5d 100644
--- a/scientificcomputing-script.tex
+++ b/scientificcomputing-script.tex
@@ -59,11 +59,13 @@
 \part{Data analysis}
 
 % add chapter on simulations (draw random numbers, draw random functions, euler forward, odeint)
-% this would be a nice and simple starter!
+% !!! this would be a nice and simple starter !!!
 % introduces derivatives which are also needed for fitting
 
 \includechapter{statistics}
 
+% add chapter on statistical tests
+
 \includechapter{bootstrap}
 
 \includechapter{regression}
@@ -76,13 +78,13 @@
 
 \includechapter{pointprocesses}
 
-%\includechapter{spectral}
+% add chapter on time series (amplitude distribution, autocorrelation, crosscorrelation)
 
-% add chapter on ROC curves
+%\includechapter{spectral}
 
 % add chapter on digital filtering
 
-% add chapter on event detection
+% add chapter on event detection, signal detection, ROC
 
 % add chapter on mutual information
 
diff --git a/spectral/lecture/Makefile b/spectral/lecture/Makefile
new file mode 100644
index 0000000..2ab59d0
--- /dev/null
+++ b/spectral/lecture/Makefile
@@ -0,0 +1,14 @@
+BASENAME=spectral
+
+all : pdf 
+
+include ../../chapter.mk
+
+# script:
+pdf : chapter
+
+clean : cleanchapter
+
+cleanall : clean cleanallchapter
+
+
diff --git a/spectral/lecture/spectral-chapter.tex b/spectral/lecture/spectral-chapter.tex
index 41ddaf2..5771270 100644
--- a/spectral/lecture/spectral-chapter.tex
+++ b/spectral/lecture/spectral-chapter.tex
@@ -14,14 +14,7 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \begin{document} 
 
-\input{spectral}
-
-\section{TODO}
-\begin{itemize}
-\item hm, let's see, maybe we could start writing it...
-  
-\item
-\end{itemize}
+\include{spectral}
 
 \end{document}
 
diff --git a/spectral/lecture/spectral.tex b/spectral/lecture/spectral.tex
index d69a400..32af20e 100644
--- a/spectral/lecture/spectral.tex
+++ b/spectral/lecture/spectral.tex
@@ -1,12 +1,10 @@
 \chapter{Spectral analysis}
 
-This is a stub that should be filled :)
-
-% \section{The Fourier space}
-
 \section{The Fourier Transform}
 Complex numbers... magnitude and phase
 
+Time domain --- Frequency domain, Fourier Space
+
 \subsection{Fast Fourier transform}
 
 \section{Power spectrum}