Chapter 1. Equations of Motion
1.1. Motion of the Planets about the Sun
1.2. Halley's Comet near the Sun
1.4. Baseball with Air Friction
1.5. Follow the Bouncing Ball
1.6. Sky-Diving with a Parachute
Chapter 2. Vibrations and Waves
2.1. Damped and Driven Oscillations
2.4. Square Wave in an RC Circuit
Chapter 3. Building a Differential Equation
3.1. Modeling Dynamic Systems
3.3. The Binary Pulsar 1913+16
3.4. Exploding Star in a Binary System
Chapter 4. Partial Differential Equations and Quantum Mechanics
4.1. Introduction to Partial DEs
4.2. PDE - The Copper Rod
4.3. PDE - Heat Conduction in the Earth
5.1. Laser Pulse Dynamics
5.2. The B-Z Chemical Reaction
5.4. PDE - Nerve Conduction
5.6. Space Shuttle Launch
Appendix A. Mathematica, Maple, and MatLab
Appendix B. The Compact Disc
Appendix C. Mathematica Commands
