We continue our study of the numerical solution of ordinary differential equations by studying dynamical models that appear in upper-division physics classes. Although some of these models have simple analytic solutions, many do not. Studying and analyzing the EJS implementation of a models is, in fact, similar to doing a laboratory experiment and often provides us with a novel perspective on the behavior of the system.
This week's models also introduce new EJS drawing components and techniques.
The following dynamical models will be discussed in class.
Additional models may be be posted for self-study.
Review the driven harmonic oscillator, pendulum, and Kepler orbits theory in your Physics 130 (General Physics) or Physics 330 (Intermediate Mechanics) notes and textbooks as appropriate. The mathematics behind these models is covered in Physics 201 (Mathematical Methods for Scientists) and in Math 235 (Differential Equations and Infinite Series).