This course gives a working knowledge of: systems of linear equations, matrix algebra, determinants, eigenvectors and eigenvalues, finite-dimensional vector spaces, matrix representations of linear transformations, matrix diagonalization, Basis, separable and first-order linear equations with applications, 2nd order linear equations with constant coefficients, Systems of linear ODE's with constant coefficients, Solution by eigenvalue/eigenvectors, and non- homogeneous linear systems.