Introduction to modeling and simulation. Definition of System, classification of systems, classification and limitations of mathematical models and its relation to simulation, Methodology of model building
 

Modeling through differential equation: linear growth and decay models, non linear growth and decay models, Logistic Model, Basic Model relevant to Population dynamics, modeling through graphs.
 

Compartment models. :  One- Compartment models and Two- Compartment models. Equilibrium solution, Stability analysis, model validity & verification of models (Model V&V).
 

Mathematical modeling through second order differential equation:-SI Model, SIR Model with and without vaccination, Partial differential equation: mass and momentum balance equations.
 

Basic concepts of simulation languages, overview of numerical methods used for continuous simulation, Stochastic models, Monte Carlo methods.