Lance Drager's Pages
A Collection of expository notes on various mathematical topics.
The Method of Undetermined Coefficients and the Shifting Rule [PDF]
The most efficient way of doing the method of undetermined coefficients for linear, constant coefficient,
ordinary differential equations. Suitable for undergraduate ODE courses.
Change of Basis and All of That [PDF]
Change of basis in vector spaces, matries of linear transformations with respect to arbitrary bases.
Suitable for a first course in Linear Algebra.
Notes on Principal Bundles, Connections and Homogenous Spaces [PDF]
Notes to accompany talks in the Geometry Seminar at Texas Tech in Spring 2009. Updated on
a regular basis. Assumes some familarity with differential geometry and connections on principal
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