Day 2

Goals for course

1. Exact Analytical Solutions

  • Works for a small class of toy problems (“spherical cow” problems)
  • Beautiful insights into how a class of systems will behave.
  • The mathematical concepts are often transferable to other problems (don't have to reinvent the wheel again and again).
  • Gives us guidance for our numerical techniques and estimation techniques.

2. Numerical techniques

  • Works for real world problems

3. “Street-fighting math”

  • Sanity checks before and after calculations/experiments/simulations
  • Used extensively during scientific discussions, writing proposals, analyzing data etc.

When you are fluent in all three realms: