Calculus Using Mathematica

Chapter 1 Introduction to the Scientific Projects Project 1. Linear Approximation of CO2 DataChapter 2 Epidemiological Applications Project 2. Review of The S-I-R Model Project 3. The 1968-69 New York Hong Kong Flu Epidemic Project 4. Vaccination for Herd Immunity Project 5. A Model for S-I-S Diseases and The Endemic LimitChapter 3 Applications of The Increment Approximation R(t + δt) = R(t) + R'(t) St + εδt Project 6. A Derivation of Hubble's LawChapter 4 The Role of Rules for Derivatives Project 7. The Expanding Economy Project 8. The Expanding House 8.1. Volume Expansion Explained by CalculusChapter 5 Log and Exponential Functions in Science Project 9. Drug Concentration and "Bi-Exponential" Functions Project 10. Measurement of Kidney Function by Drug ConcentrationChapter 6 Applications to Mechanics Project 11. The Falling Ladder (or Dad's Disaster) Project 12. Falling with Air Resistance: Data and A Linear Model Project 13. Bungee Diving and Nonlinear AirresistanceChapter 7 Optics Project 14. Fermat's Principle Implies SnelPs LawChapter 8 Applications in Economics Project 15. Monopoly Pricing Project 16. Discrete Dynamics of Price Adjustment Project 17. Continuous Production and ExchangeChapter 9 Applications in Ecology Project 18. Sustained Harvest of Sei Whales Project 19. A Journey to The Sogapalag Islands Project 20. Competition and Cooperation Between SpeciesChapter 10 Applications of Linear Differential Equations Project 21. Lanchester's Combat Models Project 22. Drug Dynamics and PharmacokineticsChapter 11 Forced Linear Equations Project 23. Forced Vibration - Non-autonomous Equations Project 24. Resonance - Maximal Response to Forcing Project 25. A Notch Filter - Minimal Response to ForcingChapter 12 Differential Equations from Vector Geometry Project 26. The Perfecto Skier Project 27. Low Level Bombing Project 28. The Pendulum Project 29. Using Jupiter as a SlingshotChapter 13 Chemical Reactions Project 30. Stability of a Tank Reaction Project 31. Enzyme Reactions: Beer, Coke & Vitamin CChapter 14 More Projects