Description: 1: Introduction to Dynamic Modeling1.1: Modeling Drugs in the Bloodstream1.2: Terminology1.3: Equilibrium Values1.4: Dynamic Economic Applications1.5: Applications of Dynamics Using Spreadsheets2: First Order Dynamical Systems2.1: Solutions to Linear Dynamical Systems with Applications2.2: Solutions to an Affine Dynamical System2.3: An Introduction to Genetics2.4: Solutions to Affine Dynamical Systems with Applications2.5: Application to Finance3: Introduction to Probability3.1: The Multiplication and Addition Principles3.2: Introduction to Probability3.3: Multistage Tasks3.4: An Introduction to Markov Chains4: Nonhomogeneous Dynamical Systems4.1: Exponential Terms4.2: Exponential Terms, a Special Case4.3: Fractal Geometry4.4: Polynomial Terms4.5: Polynomial Terms, a Special Case5: Higher Order Linear Dynamical Systems5.1: An Introduction to Second Order Linear Equations5.2: Multiple Roots5.3: The Gambler's Ruin5.4: Sex-Linked Genes5.5: Stability for Second Order Affine Equations5.6: Modeling a Vibrating String5.7: Second Order Nonhomogeneous Equations5.8: Gambler's Ruin Revisited5.9: A Model of a National Economy5.10: Dynamical Systems with Order Greater than Two5.11: Solutions Involving Trigonometric Functions6: Introduction to Nonlinear Dynamical Systems6.1: A Model of Population Growth6.2: Using Linearization to Study Stability6.3: Harvesting Strategies6.4: More Linearization7: Vectors and Matrices7.1: Introduction to Vectors and Matrices7.2: Rules of Linear Algebra7.3: Gauss-Jordan Elimination7.4: Determinants7.5: Inverse Matrices8: Dynamical Systems of Several Equations8.1: introduction to Dynamical Systems of Several Equations8.2: Characteristic Values8.3: First Order Dynamical Systems of Several Equations8.4: Regular Markov Chains8.5: Absorbing Markov Chains8.6: Applications of Absorbing Markov Chains8.7: Long Term Behavior of Solutions8.8: The Heat Equation

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