
 MATH410, LINEAR ALGEBRA (Site not responding. Last check: 20071022) 
  Vector spaces: Vectors and scalars, linear combinations, linear independence, basis, linear subspaces, direct sums. 
  Linear operators and matrices:Matrix of a linear operator in a given basis, algebra of linear operators, change of basis, adjoint operators, range and kernel, rank and nullity, Fredholm alternative, linear functionals, selfadjoint, orthogonal, unitary, and positive definite operators, invariant subspaces and direct sums of operators, projectors. 
  Applications in differential equations and mechanics: Homogeneous linear systems of differential equations with constant coefficients and their general solutions, small oscillations and Lagrangian mechanics. 
 www.rpi.edu /~kovacg/classes/linearalgebra/410.html (416 words) 
