Math 518 syllabus

Linear Algebra I 


Course Description: Fields, vector spaces, dual spaces, quotient spaces, multilinear forms, linear transformations, algebras, adjoints, eigenvalues.
Prerequisites:   An undergraduate course in linear algebra.

Suggested Text:  Algebra by Michael Artin, Second Edition
Coverage:  Chapters 1, 3, 4 and 5.

Learning outcomes: Upon the successful completion of the course a student will:
understand the fundamental concepts of linear algebra and its applications
state definitions precisely
construct proofs of mathematical statements
read and understand proofs of mathematical theorems
apply theorems and learned techniques to new situations