I. Differential Equations Models and What To Do with Them. - 1. Setting Up First-Order Differential Equations from Word Problems. - 2. Qualitative Solution Sketching for First-Order Differential Equations. - 3. Difference and Differential Equation Population Growth Models. - II. Growth and Decay Models: First-Order Differential Equations. - 4. The Van Meegeren Art Forgeries. - 5. Single Species Population Models. - 6. The Spread of Technological Innovations. - III. Higher Order Linear Models. - 7. A Model for the Detection of Diabetes. - 8. Combat Models. - 9. Modeling Linear Systems by Frequency Response Methods. - IV. Traffic Models. - 10. How Long Should a Traffic Light Remain Amber?. - 11. Queue Length at a Traffic Light via Flow Theory. - 12. Car-Following Models. - 13. Equilibrium Speed Distributions. - 14. Traffic Flow Theory. - V. Interacting Species: Steady States of Nonlinear Systems. - 15. Why the Percentage of Sharks Caught in the Mediterranean Sea Rose Dramatically During World War I. - 16. Quadratic Population Models: Almost Never Any Cycles. - 17. The Principle of Competitive Exclusion in Population Biology. - 18. Biological Cycles and the Fivefold Way. - 19. Hilbert's 16th Problem: How Many Cycles?. - VI. Models Leading to Partial Differential Equations. - 20. Surge Tank Analysis. - 21. Shaking a Piece of String to Rest. - 22. Heat Transfer in Frozen Soil. - 23. Network Analysis of Steam Generator Flow. Language: English