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 \hspace{1.0in}{\it Andrej Cherkaev} ~ cherk@math.utah.edu, 1-6822, JWB 225

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{\large 

\bf MATH 5740/MATH 6870 Math. Modeling}
 {\it (Course Outline)}

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{\bf Goals}
This course deals with principles and examples of mathematical modeling. We discuss modeling of evolution, dynamics, transition,   uncertainties, and optimization, working out a number of examples. 

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{\bf Course work} consists of reports and presentations. 

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{\large \bf Preliminary Syllabus}



%Each position roughly corresponds to three hours (a week) of instructions. Lecture Notes will be provided.
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 \item Introduction. Types of Models. 


 \item Great Models: Copernicus, Newton, Einstein. Black holes. Fractals.  

 \item  Population dynamics. Simple models and their combinations
\item Epidemics: disease spread

%\item Projects
\item Dimensionality analysis %Parashute problem.
\item Discrete and continuum waves: domino train and traffic wave
%\item Model of diffusion. 
\item Optimal design of a friction stopper
\item Thresholds: model of damage propagation
\item Stochastic Modeling for uncertainties
\item Game theory: Modeling for the worse case scenario




% \item Projects




\end{enumerate}

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