Vector spaces over a field, subspaces, quotient spaces, complementary spaces bases as maximal linearly independent subsets, finite dimensional vector spaces linear transformations, null spaces, ranges ...

Linear Algebra Vector spaces, linear transformation, matrix representation, inner product spaces, isometries, least squares, generalised inverse, eigen theory, quadratic forms, norms, numerical ...

Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Prereq., APPM 1360 ...