A Very Short Survey of Math Methods

Notes from a survey course on mathematical methods for physics.

A compact, worked-example reference covering the math toolkit a physicist reaches for daily. Drawn from a survey course I taught; reorganized here to be cross-referenced and skimmable.

1. i

   Contour integration

   Closed contours, residues, Jordan's lemma, keyhole contours around branch points.

2. ii

   Fourier transforms

   From Fourier series to the continuous transform. Convolutions, Parseval, the uncertainty principle. Worked via contour integrals where possible.