deletions | additions       diff --git a/numerical-analysis.tex b/numerical-analysis.tex  index 58fcb7c..f0b8ccb 100644  --- a/numerical-analysis.tex  +++ b/numerical-analysis.tex 
...
\subsection{Introduction of numerical analysis}  Students are expected to do their lab work using \ipython\ notebooks. There are several reasons for adopting \texttt{Python}: it is widely used in astronomy and other STEM disciplines; it is easy to learn but supports complex programming; it has powerful libraries---\np, \sp, and \plt---for numerical analysis and plotting; and the \ipython\ notebooks are relatively platform-independent.\footnote{To ensure a standard working environment, we currently have require  the students to  install a virtual machine (using \href{https://www.virtualbox.org/}{VirtualBox}) running Ubuntu Linux with the Anaconda Python distribution. Given the broad cross-platform distribution of Anaconda Python, we may drop the usage of virtual machines in subsequent editions of this course.} Figure~\ref{f.sample-datasets} illustrates an in-class exercise on the $\chi^2$-test. The students use the notebook to generate fake datsets, to compute $\chi^2$ for those datasets, and then to answer questions about their findings. When finished, the students upload their notebooks to a course dropbox for grading.