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Mathematical Tools for Physics - http://www.physics.miami.edu/nearing/mathmethods/
A text on the mathematics needed for upper level undergraduate physics courses by James Nearing, University of Miami (PDF). |
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Methods of Mathematical Physics I - http://phy.syr.edu/~trodden/courses/mathmethods/
A set of lecture notes for this one semester course. |
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Preparation for Gauge Theory - http://arxiv.org/abs/math-ph/9902027
Class lecture notes at a graduate level on the mathematical background needed to understand classical gauge theory. |
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Spinors in Physics and Geometry - http://www.hep.uiuc.edu/home/rgleigh/class/spin/
A fourth year math/physics course at UIUC with online lecture notes. |
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Mathematical Methods in Physics - http://www.math.umn.edu/~voronov/18.276/
Covers Conformal Field Theory, Modular Functor, Topological Quantum Field Theory and Frobenius Algebras, Operads, Homotyopy Algebra. |