diff --git a/bootstrap/lecture/bootstrap-chapter.tex b/bootstrap/lecture/bootstrap-chapter.tex
index d59ac2d..845b6b1 100644
--- a/bootstrap/lecture/bootstrap-chapter.tex
+++ b/bootstrap/lecture/bootstrap-chapter.tex
@@ -17,10 +17,10 @@
 \include{bootstrap}
 
 \section{TODO}
+This chapter easily covers two lectures:
 \begin{itemize}
-\item This chapter easily covers two lectures:
 \item 1. Bootstrapping with a proper introduction of of confidence intervals
-\item 2. Permutation test with a proper introduction of statistical tests (dsitrubution of nullhypothesis significance, power, etc.)
+\item 2. Permutation test with a proper introduction of statistical tests (dsitribution of nullhypothesis, significance, power, etc.)
 \end{itemize}
 
 \end{document}
diff --git a/regression/lecture/regression-chapter.tex b/regression/lecture/regression-chapter.tex
index b235d10..91d73ba 100644
--- a/regression/lecture/regression-chapter.tex
+++ b/regression/lecture/regression-chapter.tex
@@ -23,15 +23,21 @@
 
 \subsection{Start with one-dimensional problem!}
 \begin{itemize}
-\item Just the root mean square as a function of the slope
-\item 1-d gradient
+\item Let's fit a cubic function $y=cx^3$ (weight versus length of a tiger)
+\item Introduce the problem, $c$ is density and form factor
+\item How to generate an artificial data set (refer to simulation chapter)
+\item How to plot a function (do not use the data x values!)
+\item Just the mean square error as a function of the factor c
+\item Also mention the cost function for a straight line
+\item 1-d gradient, NO quiver plot (it is a nightmare to get this right)
 \item 1-d gradient descend
-\item Homework is to do the 2d problem!
+\item Describe in words the n-d problem.
+\item Homework is to do the 2d problem with the straight line!
 \end{itemize}
 
 \subsection{Linear fits}
 \begin{itemize}
-\item Polyfit is easy: unique solution!
+\item Polyfit is easy: unique solution! $c x^2$ is also a linear fit.
 \item Example for overfitting with polyfit of a high order (=number of data points)
 \end{itemize}
 
diff --git a/scientificcomputing-script.tex b/scientificcomputing-script.tex
index 8e20397..007cbe6 100644
--- a/scientificcomputing-script.tex
+++ b/scientificcomputing-script.tex
@@ -58,7 +58,9 @@
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \part{Data analysis}
 
-% add chapter on simulations (euler forward, odeint)
+% add chapter on simulations (draw random numbers, draw random functions, euler forward, odeint)
+% this would be a nice and simple starter!
+% introduces derivatives which are also needed for fitting
 
 \includechapter{statistics}