Math 221 Introductory Linear Algebra. Topics covered in the course include the solution of systems of linear equations through Gaussian elimination; matrices and matrix algebra; vector spaces and their subspaces; coordinate mappings and other linear transformations; eigenvalues and eigenvectors; similarity and diagonalization; and constructions involving inner products such as orthogonal projections, the construction of Gram-Schmidt bases and least-square approximations. Although the course devotes a substantial amount of time to computational techniques, it should also lead the student to develop geometrical intuitions, to appreciate and understand mathematical abstraction, and to construct some elementary proofs.
Introductory Linear Algebra
Math 100 or equivalent, with a minimum of 60%