Mathematical Tools for Physics
- A text on the mathematics needed for upper level undergraduate physics courses by James Nearing, University of Miami (PDF).
- http://www.physics.miami.edu/nearing/mathmethods/

Mathematical Methods in Physics
- Covers Conformal Field Theory, Modular Functor, Topological Quantum Field Theory and Frobenius Algebras,
- http://www.math.umn.edu/~voronov/18.276/

Spinors in Physics and Geometry
- A fourth year math/physics course at UIUC with online lecture notes.
- http://www.hep.uiuc.edu/home/rgleigh/class/spin/

Preparation for Gauge Theory
- Class lecture notes at a graduate level on the mathematical background needed to understand classical gauge theory.
- http://arxiv.org/abs/math-ph/9902027

Methods of Mathematical Physics I
- A set of lecture notes for this one semester course.
- http://phy.syr.edu/~trodden/courses/mathmethods/

Linear Methods of Applied Mathematics
- This is a WWW textbook written by Evans M. Harrell II and James V. Herod, both of Georgia Tech. It is suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. Students are expected to h
- http://www.mathphysics.com/pde/