[pointprocesses] move firing rate exercise to point processes folder

pointprocesses/exercises/psth.tex

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+\documentclass[12pt,a4paper,pdftex]{exam}
+
+\usepackage[german]{babel}
+\usepackage{natbib}
+\usepackage{graphicx}
+\usepackage[small]{caption}
+\usepackage{sidecap}
+\usepackage{pslatex}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\setlength{\marginparwidth}{2cm}
+\usepackage[breaklinks=true,bookmarks=true,bookmarksopen=true,pdfpagemode=UseNone,pdfstartview=FitH,colorlinks=true,citecolor=blue]{hyperref}
+
+%%%%% text size %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\usepackage[left=20mm,right=20mm,top=25mm,bottom=25mm]{geometry}
+\pagestyle{headandfoot} \header{{\bfseries\large Exercise
+    }}{{\bfseries\large Time-dependent firing rate}}{{\bfseries\large January, 14, 2020}}
+\firstpagefooter{Dr. Jan Grewe}{Phone: 29 74588}{Email:
+  jan.grewe@uni-tuebingen.de} \runningfooter{}{\thepage}{}
+
+\setlength{\baselineskip}{15pt}
+\setlength{\parindent}{0.0cm}
+\setlength{\parskip}{0.3cm}
+\renewcommand{\baselinestretch}{1.15}
+
+\newcommand{\code}[1]{\texttt{#1}}
+\renewcommand{\solutiontitle}{\noindent\textbf{Solution}\par\noindent}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
+\begin{document}
+
+\vspace*{-6.5ex}
+\begin{center}
+  \textbf{\Large Introduction to scientific computing.}\\[1ex]
+  {\large Jan Grewe, Jan Benda}\\[-3ex]
+  Abteilung Neuroethologie \hfill --- \hfill Institut f\"ur Neurobiologie \hfill --- \hfill \includegraphics[width=0.28\textwidth]{UT_WBMW_Black_RGB} \\
+\end{center}
+
+\begin{questions}
+  \question Plot the time-dependent firing rate of a neuron. Calculate
+  the firing rate from the \emph{instantaneous firing rate} (based on the
+  interspike interval). Use the \code{lifoustim.mat}. The dataset
+  contains three variables. 1st the spike times in different trials,
+  2nd the stimulus, and 3rd the temporal resolution of the recording. The total
+  duration of each trial is 30 seconds.
+
+  \begin{parts}
+    \part{} Write a function that takes three arguments: the spike
+    times of a single trial, the trial duration and the temporal
+    resolution. The function should return two variables: the time axis and the
+    time-dependent firing rate.
+    \part{} Write a script that applies the above function to estimate
+    the time-dependent firing rate of each trial. Plot the firing rates of the individual responses
+    and the average response as a function of time into the same graph.
+    \part{} Extend your program that it saves the figure with the width and height of 8.5\,cm using a fontsize of 10\,pt for labels.
+    See Chapter 3 in the script, or browse the Matlab help for more
+    information. Store the figure in pdf format.
+  \end{parts}
+
+  \question{} As before but use the binning method.
+
+  \question{} Extend your script that it also plots the interspike
+  interval histogram and the distribution of spike counts into
+  separate figures. Save the figures to file using the pdf format. You may also choose to use subplots instead of individual figures.
+
+  \question{} Some trials are different than the others.
+  \begin{parts}
+    \part{} Use a rasterplot to identify them. In which sense
+    are they different? Save the rasterplot in pdf
+    format. Use the same figure specifications as above and make sure it is properly labeled.
+    \part{} Identify those trials in which the spike count
+    deviates more than $2\sigma$ (twice the standard deviation) from the average.
+  \end{parts}
+\end{questions}
+
+\end{document}