Math 519 syllabus
Linear Algebra II
Triangular form, nilpotence, Jordan form, inner products, self-adjoint transformations, positive transformations, isometries, Spectral Theorem, polar decomposition, and applications to analysis. This course is taught in the traditional lecture format. 3 Credits.
Prerequisites: C or better in MA 518.
Suggested Text: Algebra, Second Edition, by Michael Artin.
Coverage: Chapters 8, 9 and parts of 10.
Students are expected to gain a deep understanding of the fundamental concepts of linear algebra and its applications.
Students are expected to be able to state definitions precisely, to construct proofs of mathematical statements, to read and understand proofs of mathematical theorems, and to apply these theorems and learned techniques to new situations.
Last updated: October 16, 2014.