
% BB Sep 02 2008.

\documentclass[20pt,landscape,footrule]{foils}
\usepackage{background}
\begin{document}
\def\r{\color{red}}
\def\b{\color{blue}}
\def\s{\color{black}}

\foilhead{\r Simple MC Integration} \b 

\noindent Use MC to calculate the integrals \bigskip

$$\s I_1 = \int_{x^2<\sin(y),y^2<cos(x)} dx\,dy\ .$$
and
$$\s I_2 = \int_{x^2<\sin(y),y^2<cos(x)} dx\,dy\ e^r,~~
     r=\sqrt{x^2+y^2}\ .$$ \bigskip

\noindent Make a scatter plot of the contributing integrand range.
E-mail your program, the results for the integrals and the scatter 
plot (pdf file) before the deadline.

\end{document}

