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Covers Complex variables, special functions, second order linear ODEs, asymptotic expansions, Laplace transforms. (One large PS file)
http://www.cam.ac.uk/CambUniv/So...ties/archim/notes/iib/mmp/mmp.ps

A 33 page lecture from Oxford on the uses of geometry in physics.
site exerpt
 Resolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR matrix currentmatrix dup dup 4 get round 4 exch put dup dup 5 get...
http://www-thphys.physics.ox.ac.uk/users/JamesBinney/G&Pnotes.ps

A set of lecture notes for this one semester course.
site exerpt
Lecture Notes Methods of Mathematical Physics I  These notes are a slightly expanded version of a one-semester course, PHYS 349, that I gave at Case Western Reserve University in the Fall of 1999. Although I chose several textbooks to accompany the course, much of the material is...
http://phy.syr.edu/~trodden/courses/mathmethods/

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

A fourth year math/physics course at UIUC with online lecture notes.
site exerpt
Spin Geometry in Math and Physics  How to find the classroom Full Syllabus How to make the grade Web resources and learned societies Reading List Free mugs Problem Sets Lecture Notes Announcements Course Abstract Spinors have played a crucial role in both the physics and the...
http://www.hep.uiuc.edu/home/rgleigh/class/spin/

Covers Conformal Field Theory, Modular Functor, Topological Quantum Field Theory and Frobenius Algebras, Operads, Homotyopy Algebra.
site exerpt
Course 18.276 Mathematical Methods in Physics  You are visitor number since the counter was last reset, or August 29, 1997, whichever is more recent. Last modified: Wed Dec 3 13:20:08 PST 1997...
http://www.math.umn.edu/~voronov/18.276/

A text on the mathematics needed for upper level undergraduate physics courses by James Nearing, University of Miami (PDF).
site exerpt
Mathematical Tools for Physics  If you find any mistakes or any parts that are unclear or any topics that you think I should not have omitted, please tell me. I intend this for the undergraduate level, providing a one-semester bridge between some of the...
http://www.physics.miami.edu/nearing/mathmethods/