  Class lecture notes at a beginning graduate level on the mathematical
background needed to understand classical gauge theory. Covers group actions,
fiber bundles, principal bundles, connections, gauge transformations, parallel
transport, curvature, covariant derivatives, pseudo-riemannian manifolds,
lagrangians, clifford algebras, spin bundles, and the Dirac operator. Requires
an elementary knowledge of groups, manifolds, lie groups and algebras, and
mutlilinear algebra.
