MAT 727-01 (Linear Algebra and Matrix Theory) Fall 2018

Vector spaces. Linear operators and similarity. The eigenvalue problem and a special decomposition theorem. Normal forms: Smith form for matrices, rational and Jordan forms. Spectral resolution of matrix functions. Special topics.

Pr. grade of at least C in MAT 310 and 311, or equivalent

The class meets MWF 1:00 - 1:50 pm in Sullivan 218.

Course announcements, homework sets, and grades are posted in Canvas. Be sure to check your UNCG email regularly.

Documents

Syllabus (PDF)
Some Hints on Mathematical Style (PDF) by David Goss
How to Write Mathematics (PDF) by Paul Halmos
Mathematical Writing (PDF) by Donald E. Knuth, Tracy Larrabee, and Paul M. Roberts

Useful links

Getting Started with TeX, LaTeX, and Friends from the TeX Users Group
LaTeX project site

Below are links I provide our undergraduate linear algebra (MAT 310) students. You should review as necessary.

The Art of Proof by Matthias Beck and Ross Geoghegan is an excellent introduction to writing good proofs. Go to the UNCG Library Catalog to find this book. You can download a free copy by entering your UNCG information.
MIT OpenCourseWare 18.06SC Linear Algebra:
lecture notes, video lectures, additional exercises.