Title: Linear Algebra

Description: Finite dimensional vector spaces, linear maps, dual spaces, bilinear functions, inner products. Additional topics such as canonical forms, multilinear algebra, numerical linear algebra.

Prerequisite: C or higher in MAT 211 or 305 or 308 or AMS 210; C or higher in MAT 200 or MAT 250 or permission of instructor

Credits: 4

Textbook:

Linear Algebra Done Right (3rd edition) by Sheldon Axler

Note: Subject to change - do not buy before confirming with the course instructor

Major Topics Covered:

Matrices and Operations on Matrices

Determinants of Matrices

Vector Spaces and Subspaces

Linear Transformations and Linear Operators

Kernels and Images

Basis for Vector Space and the Dimension of a Vector Space

Eigenvalues, Eigenvectors and the Diagonalization of Linear Operators

the Cayley-Hamilton Theorem

Inner Product Spaces

Selfadjoint Operators, Normal Operators, and Orthogonal Operators

the Spectral Theorem

Undergraduate Bulletin Course Information

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