MATH 1554 is a four-credit course that introduces students to linear algebra. Students will explore fundamental concepts of this subject that has an essential role in applications of linear algebra to many areas of industry, science, and engineering. We will explore systems of linear equations and a systematic method for solving them, subspaces, determinants, eigenvalues, orthogonality, and the singular value decomposition. Applications of linear algebra to computer graphics, economics, Google PageRank, and least-squares.
MATH 2551 is a four-credit course that extends concepts that students encountered in linear algebra and differential and integral calculus to functions of several variables. This course explores the calculus of vector functions, derivatives, and integrals of functions of several variables, and integral theorems that are widely used in engineering and physics. Applications that are explored include constrained optimization, center of mass, Jacobians, line integrals, circulation, and flux.