\documentclass[8pt]{beamer}
\usetheme{Singapore}
\useoutertheme[subsection=false]{smoothbars}

\usepackage{amsfonts}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsopn}
\usepackage{graphicx}
\usepackage{multimedia}
\usepackage{bm} % for bold greek letters

% settings 
\definecolor {my_orange} {rgb} {0.80, 0.35, 0.00}
\definecolor {lightgrey} {rgb} {0.90, 0.90, 0.9}
\definecolor {gruenblau} {rgb} {0.05, 0.4, 0.48}
\setbeamercolor*{alerted text}{fg=gruenblau}
\setbeamertemplate{navigation symbols}{} %get rid of the navigation symbols

% latex macros and defs 
\def\eps{\varepsilon}
\def\my_cite#1{\textcolor{my_orange}{$[$ #1 $]$}} 


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% presentation specific

\begin{document}

% title page, generated by hand
\frame{\frametitle{}

\vspace{1cm}

\begin{minipage}[t]{0.45\textwidth}
\vspace{0.5cm}
{
\bf
BS \\[1mm]
(with nobody else)
}
\end{minipage} \hfill
\begin{minipage}[t]{0.45\textwidth}
\begin{center}
Mathematics Institute\\[2mm]
\includegraphics[height=1.5cm]{logo_warwick_new.png}
\end{center}
\end{minipage}

\vspace{1.5cm}

\begin{center}

\alert{
\bf \Large
My Marvellous Presentation
}

\vspace{1cm}

{
 \bf Workshop \alert{SWS}\\[2mm]
 Warwick, \today
}

\end{center}

\vspace{12cm}

}

\section{Tasks}

\input{beamer_tasks_specified}


\section{Solution}

\frame{\frametitle{Solutions}

Simple tasks: 

\bigskip

\only<1>{
Theme changed to \alert{Singapore}
}

\only<2>{
Including the logo again: 

\includegraphics[height=5cm]{logo_warwick_new.png}
}

\only<3>{
\begin{multline}
 \frac{d}{dt} \int_\Omega \mbox{ complicated density } dx \\
 = \int_\Omega \mbox{ complicated variation } \times \mbox{ velocity } dx.
\end{multline}
}

\only<4-7>{

\begin{itemize}
 \item<4-> First item 
 \item<5-> Second item 
 \item<6-> Third item 
 \item<7-> Forth item 
\end{itemize}

}

\only<8>{
\setbeamercolor{block body alerted}{fg=gruenblau,bg=lightgrey}

\begin{alertblock}{Theorem}
The semi-discrete problems are well-posed. 

The solutions $(u_h,w_h)$ converge to some functions $(u,w)$ as $h \to 0$\\
that uniquely solve the abstract variational problem and satisfy
\[
 \| u \|_{L^\infty(H^1(\Gamma))}^2 + \| w \|_{L^2(H^1(\Gamma))}^2 \leq C. 
\]
\end{alertblock}
}

}

\frame{\frametitle{More solutions}

\vskip 1cm 

Advanced tasks: 

\bigskip


\only<1>{
Arrangement achieved by adding vskip 1cm at the top and vspace 10cm and the bottom. 
}

\only<2>{
The \alert{alerted text color} has been changed to green-blue
}

\only<3>{
\begin{minipage}[t]{0.45\textwidth}
 Column generated with \\
 \alert{minipage} environment
\end{minipage}
\hfill
\begin{minipage}[t]{0.45\textwidth}
 This is the second column. 
\end{minipage}
}

\only<4>{
Enjoy!

\begin{center}
 \movie[width=10cm,height=5cm,loop,showcontrols=true]{\alert{fun}}{movie_image.mpeg}
% \movie[width=10cm,height=5cm,loop,showcontrols=true]{\alert{fun}}{movie_image.avi}
\end{center}

Linked with the \alert{multimedia} package and the \alert{movie} command. 
}

\vspace{10cm}

}

\end{document}
