Linear Growth and Decay Models –Non-Linear Growth and Decay Models –Compartment Models –Dynamic problems –Geometrical problems.

Population Dynamics –Epidemics –Compartment Models –Economics –Medicine, Arms Race, Battles and International Trade –Dynamics

Planetary Motions –Circular Motion and Motion of Satellites –Mathematical Modeling through Linear Differential Equations of Second Order –Miscellaneous Mathematical Models

Simple Models – Basic Theory of Linear Difference Equations with Constant Coefficients –Economics and Finance– Population Dynamics and Genetics –Probability Theory.

Solutions that can be modeled through Graphs –Mathematical Modeling in Terms of Directed Graphs, Signed Graphs, Weighted Digraphs and Un oriented Graphs.