• Orbital dynamics of two and three bodies -- As an example of a computational exercise that you might do in an introductory course and that is calibrated to be completed without that much LLM help, let's look at planetary orbits. This will be particularly interesting as a playground for how well system prompt guardrails work -- if you want AI to help students with programming but explicitly not computational science or physics.
  • Linear and nonlinear oscillators: the swinging pendulum -- This exercise begins with simple physics but that can quickly get into advanced topics. This exercise is one of my favorites; we're extending it a little bit given the fact that you all will be doing it with LLM help this time.
  • Nonlinearities in the vibrating string -- This might be sophomore or junior-level depending on how much help students get from their LLMs. This is a good stress test of your system prompts -- have you calibrated them so that the LLM will help the students with the things you want, but avoid doing things for them that you want them to learn on their own?
  • Dynamics of the Lennard-Jones gas -- This is a "graduate-level" exercise set without LLM help: mapping the phase diagram of the truncated Lennard-Jones gas. It will likely require substantial LLM assistance to code in an hour and a half, and it is probably a good demo of the physics you can learn without actually writing the code yourself.
4:45-5:00  Wrap Up
 

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