Math 519 syllabus

Linear Algebra II 


Course Description: Triangular form, nilpotence, Jordan form, inner products, self-adjoint transformations, positive transformations, isometries, Spectral Theorem, polar decomposition, applications to analysis.
Prerequisites:  C or better in MA 518.

Suggested Text:  Algebra by Michael Artin, Second Edition 
Coverage:  Chapters 8, 9 and parts of 10.

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