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\title{m 5740. Mathematical Modeling: Preliminary Syllabus}
\author{Andrej Cherkaev. Spring 2013, JWB 208, MWF 9:40 - 10:30}
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\begin{enumerate}

\item Introduction. Principles of modeling.  Great Model of the Universe. 

{\bf Paper}. From observations and assumptions to equations.

{\bf Project }. How to split the class in several working groups

\item  Growth and interaction of species. Population dynamics. Epidemic spread. 

{\bf Project a}. Model of population dynamics after Marsian invasion. 

{\bf Project b}. Model of epidemic disease  and vaccination. 

{\bf Project c}. PDE Model of population dynamics. 
 

\item Wave model. Traffic: shock waves, stabilization factors. (Richard Haberman)

{\bf Paper}. Simulation of a traffic jam. 

\item Modeling of conflicts:  Games

{\bf Project a}. Best strategy, minimax
 
{\bf Project b}. How to fairly share a bounty. Cooperative games

{\bf Project c}.  Models of social behavior. Evolutionary games.

\item Modeling using graphs 

{\bf Project a}. Shortest path, Maximum flow. 

{\bf Project b}. Transport problem

 \item Model of shapes, smooth, space-fitting and fractal curves. 

{\bf Project}: Quantify gerrymandering 


%\item Model of composites.

% {\bf Project }. To be announced.

\item Lattice models of complicated structures.  Metamaterials

{\bf Project}. Shape changing active material. 

\end{enumerate}

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