Abstract
1. Differential Equations and Models. 2. First Order Differential Equations. 3. Homogenous Linear Equations With Constant Coefficients: Modeling Without Forcing Functions. 4. Nonhomogeneous Linear Equations: Modeling With Continuous Forcing Functions. 5. Laplace Transform I: Modeling With Discontinuous Forcing Functions. 6. Laplace Transform II: Modeling With Periodic or Impulse Forcing Functions. 7. Systems of First-Order Differential Equations and Applications. 8. Matrix Methods for Non-Homogenous First-Order Linear Systems. 9. Linear Equations With Variable Coefficients. 10. Partial Differential Equations: Modeling Position- and Time-Dependent Behaviors.
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