Introduction to Differential and Difference Equations Through Modeling (Hardcover, 1)

1. Matrix Algebra Review

2. Mathematical Modeling and Technology for Difference and Differential Equations

3. Modeling Discrete Dynamical Systems (DDS)

4. Systems of First Order Difference Equations

5. Introduction, Basic Concepts, and Techniques in Modeling First Order Ordinary Differential Equations

6. Modeling with Numerical Solutions to Differential Equations---IVP for ODEs with Technology

7. Numerical Output for Analysis: Graphical and Percent Error

8. Higher Order Differential Equations

9. Higher Order Numerical Methods to Solve IVP and BVP

10. System of Linear and Nonlinear ODEs

11. Numerical Solutions to Systems of ODES

12. Modeling using Laplace Transforms

13. Answers to Selected Exercises