Education

Mathematical Methods (Physics 605, University of Massachusetts Amherst)

When I was a professor at UMass Amherst, I taught a course on graduate-level mathematical methods that also doubled as the beginning of electro- and magnetostatics. Over the years, I have found that parts of the notes have been very useful in other classes. All mistakes are my own, and I have certainly made some that I have yet to correct. I present the notes here as is.

Course content (last updated 2020)

  1. Abstract Linear Algebra
  2. Hilbert spaces and some functional analysis
  3. Solving 2D partial differential equations
  4. Special functions
  5. Green’s functions
  6. Electrostatics
  7. Magnetostatics
  8. Complex variables
  9. Integral transforms
  10. Approximation methods (alas, incomplete)