Prerequisite(s): MAT 140 & MAT 150, or MAT 200 This course presents the mathematical foundations of linear algebra, which includes a review of basic matrix algebra and linear systems of equations as well as basics of linear transformations in Euclidean spaces, determinants, and the Gauss-Jordan Algorithm. The more substantial part of the course begins with abstract vector spaces and the study of linear independence and bases. Further topics may include orthogonality, change of basis, general theory of linear transformations, and eigenvalues and eigenvectors. Other topics may include applications to leastsquares approximations and Fourier transforms, differential equations, and computer graphics.

Euclidean space, linear systems, Gaussian elimination, determinants, inverses, vector spaces, linear transformations, quadratic forms, least squares and linear programming, eigenvalues and eigenvectors, diagonalization. Includes theoretical and computer lab components. Prerequisites: 'C' or better in MATH 1260 OR MATH 1320 OR MATH 1321 OR MATH 2210 OR MATH 2310 OR 'B' or better in MATH 1220 OR AP Calculus BC score of 5