Part I: First Order ODE and Euler Methods c

August 25 - 1. Matlab (plot, function, loop, m-file)
September 1 - 2. Falling mass, Euler and improved Euler methods, y(t) = 70 +130e^-kt
September 8 - 3. Cooling with variable ambient temperature, variable time steps

Part II: Logistic ODE and Higher Order Methods

September 15 - 4. Population, Taylor and Runge-Kutta methods
September 22 - 5. Population with harvesting, ODE45
September 29 - 6. Spread of information, ODE45

Part III: Higher Order Systems

October 13 - 7. Predator-prey(s), ODE45
October 20 - 8. SIR Epidemic model, ODE45
October 27 - 9. Diffusion of Heat (discrete rod), ODE45

Part IV: Vibration and Resonance

November 3 - 10. Mass-spring and resonance, ODE45
November 10 - 11. Vibrating string  (discrete string), ODE45
November 17 - 12. LRC circuit and tuning, ODE45

Part V: Stiff Systems

December 1 - 13. Rapid cooling, Euler-trapezoid, ODE23s
Extra material for interested students:
14. Van der Pol circuits, ODE23s
15.  Oregonator chemical reactions, ODE15s