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| -rw-r--r-- | day1/session4.tex | 44 |
1 files changed, 36 insertions, 8 deletions
diff --git a/day1/session4.tex b/day1/session4.tex index 3796e6c..b2175ad 100644 --- a/day1/session4.tex +++ b/day1/session4.tex @@ -23,6 +23,7 @@ \usepackage[latin1]{inputenc} %\usepackage{times} \usepackage[T1]{fontenc} +\usepackage{amsmath} % Taken from Fernando's slides. \usepackage{ae,aecompl} @@ -95,13 +96,13 @@ \end{frame} } -\AtBeginSection[] -{ - \begin{frame}<beamer> - \frametitle{Outline} - \tableofcontents[currentsection,currentsubsection] - \end{frame} -} +%%\AtBeginSection[] +%%{ + %%\begin{frame}<beamer> +%% \frametitle{Outline} + %% \tableofcontents[currentsection,currentsubsection] + %%\end{frame} +%%} % If you wish to uncover everything in a step-wise fashion, uncomment % the following command: @@ -120,7 +121,7 @@ \begin{frame} \frametitle{Outline} \tableofcontents - \pausesections +% \pausesections \end{frame} \section{Matrices} @@ -204,4 +205,31 @@ Example problem: Consider the set of equations \end{lstlisting} \end{frame} + +\begin{frame}[fragile] +\frametitle{ODE Integration} +We shall use the simple ODE of a simple pendulum. +\begin{equation*} +\ddot{\theta} = -\frac{g}{L}sin(\theta) +\end{equation*} +\begin{itemize} +\item This equation can be written as a system of two first order ODEs +\item $\dot{\theta} = \omega$ +\item $\dot{\omega} = -\frac{g}{L}sin(\theta)$ +\item At $t = 0$ \\ +$\theta = \theta_0$ \& +$\omega = 0$ +\end{itemize} +\begin{lstlisting} +\end{lstlisting} +\end{frame} + + + \end{document} + +\begin{frame}[fragile] +\frametitle{} +\begin{lstlisting} +\end{lstlisting} +\end{frame} |