Prerequisite(s): MATH 122 with a grade of C- or higher. The course content will cover the foundations of the algebra of vector spaces, matrix operations, matrix invertibility theorems, linear independence, span, basis, linear transformations, finite dimensional Hilbert Spaces, Gram-Schmidt process, projections, eigenvalues and eigenvectors, and applications. The focus of the course will be to develop advanced mathematical skills in reading and understanding abstract mathematical definitions, constructing examples, and developing mathematical proofs. Meets the Graduation Writing Requirement for majors in Mathematics. Equivalent course MATH 335 effective through Fall 2020.