Honors Linear Algebra I

(4 Credits)

This is the first semester of a 2-semester sequence in linear algebra for advanced mathematics majors. Topics covered include fields, vector spaces, linear independence, dimension, linear transformations, rank, matrices, eigenvalues, eigenvectors, determinants, characteristic polynomials, and the Cayley-Hamilton theorem. Examples from applications are also covered, including interpolation problems, traffic flows, genetics, the fundamental theorem of algebra, electric circuits, static mechanics, and consumption matrices in economics. Prerequisite: Pre-placement by Faculty based on high-school grades, or NYUSH "Honors Calculus and Honors Linear Algebra" placement exam, or grade C or better in MATH-SHU 140 (Linear Algebra) or grade C or better in MATH-SHU 265 (Linear Algebra and Differential Equations). Fulfillment: Math Constrained Math Elective; Honors Math required, DS Math required course.