lecture topics

These are estimates. I will try to continually update them as we go along.

date section description
M 3/30 1-4 Introduction, Newton's law, spring-mass system, and gravity.
W 4/1 5-8 Solution of spring-mass system.
F 4/3 9-13 Two mass oscillator. Friction. Overdamped/underdamped.
M 4/6 14 Pendulum
W 4/8 14-18 dimensionless variables, linear stability analysis
F 4/10 18,19 Linear stability analysis; conservation of energy
M 4/13 20-22 Energy curves; phase plane
W 4/15 24,26 Nonlinear oscillation with damping
F 4/17 26,28 isoclines, nonlinear pendulum w/ damping
M 4/20 28 damped nonlinear pendulum
W 4/22 class cancelled
F 4/24 31,32 Review of mechanics, Introduction to population modeling
M 4/27 32-35 exponential growth, age distribution
W 4/29 36 randomness
F 5/1 Midterm exam.
M 5/4 36,37,38 Logistic growth
W 5/6 43,44,45 Two species
F 5/8 46,47 Two species phase plane
M 5/11 48,49,50 predator/prey
W 5/13 51,52 Lotka-Volterra results
F 5/15 54 Comptetition.
M 5/18 56-61,63 intro to traffic flow; conservation of cars
W 5/20 64,65,66,67 traffic flow model
F 5/22 67,68,71 traffic waves
M 5/25 Memorial Day
W 5/27 72,73 green light; linear dens-vel relationship
F 5/29 76,77,78 shocks
M 6/1
W 6/3
F 6/5