MAT 450 -- Spring 2013
Advanced Linear Algebra

TuTh, 12:15-1:30 pm
Chambers 3234

Syllabus
Instructor:
Stephen L. Davis; click here for my weekly schedule.

Text:
T S Blyth & E F Robertson, Further Linear Algebra, Springer-Verlag, 2002.

Roster:
Derek Marsh, Corey Poff, Colin Thomson, Kyle Yang

Course Topics:
From the college catalog, this course is "a further study of vector spaces, dual spaces, inner product spaces, modules, linear transformations, characteristic roots, matrices, canonical forms, trace, transpose, determinants, normal transformations, and quadratic forms."

Attendance:
Regular and punctual attendance is expected of all students; given the size of our class, we'll notice if you aren't there! You are responsible for all material discussed in class, whether you are present, tardy or absent.

Evaluation:
Class will be run "seminar" style: all members of the class will be responsible for preparation and presentation (oral and written) of material and exercises. There will be a couple of reviews and a final examination. The recipe for your grade in this course is distributed as roughly

Schedule Guesstimate:   ( volatile! )

Date Section Event/Topic
Jan 15, 17  start-up  ..
Jan 22, 24 1 .. Inner Product Spaces
Jan 29, 31 2 .. Direct Sums of Subspaces
Feb 5, 7 .. 3 Primary Decomposition
Feb 12, 14 .. 4 Reduction to Triangular Form
Feb 19, 21 .. 5 Reduction to Jordan Form
Feb 26, 28 .. Review Review #1
Mar 5, 7 Spring Break
Mar 12, 14 .. 6 Rational and Classical Forms
Mar 19, 21 .. ..
Mar 26, 28 7 .. Dual Spaces
Apr 2, 4 Easter Break ..
Apr 9, 11 8 .. Orthogonal Direct Sums
Apr 16, 18 .. ..
Apr 23, 25 9 Review Bilinear & Quadratic Forms; Review #2
Apr 30, May 2 .. ..
May 7, 9 debrief Reading Day
May 10-15 Final Examination