MATH 5111 - Husker Northeastern

Covers vector spaces and linear maps.

Topics include row and column operations and their application to normal form; eigenvalues and eigenvectors of an endomorphism; characteristic polynomial and Jordan canonical form; multilinear algebra that covers tensor products, symmetric and exterior powers of vector spaces, and their universality properties; quadratic forms, reduction to diagonal form, and Sylvester theorem; hyperbolic spaces and Witt theorem; the orthogonal group and isotropic subspaces; antisymmetric forms and their reduction to canonical form; the symplectic group; and Pfaffian and Affine geometry, and classification of conic sections.

Requires permission of instructor and head advisor for undergraduate students.

MATH 5111: Algebra 1

Spring 2023 Semester

Fall 2022 Semester