1: Mathematical Modeling: Need, Techniques, Classifications, and Simple Illustrations. 2: Mathematical Modeling through Ordinary Differential Equations of the First Order. 3: Mathematical Modeling through Systems of Ordinary Differential Equations of the First Order. 4: Mathematical Modeling through Ordinary Differential Equations of the Second Order. 5: Mathematical Modeling through Difference Equations. 6: Mathematical Modeling through Partial Differential Equations. 7: Mathematical Modeling through Graphs. 8: Mathematical Modeling through Functional, Integral, Delay-Differential and Differential-Difference Equations.
9: Mathematical Modeling through Calculus of Variations and Dynamic Programming.10: Mathematical Modeling through Mathematical Programming, Maximum Principle, and theMaximum-Entropy Principle.