Advanced Linear Algebra
Math 424 (2715)  Math 524 (2736)
September 4, 2002
revised September 30, 2002 *1*
TIME OF MEETING:  Mon, Wed, & Fri 2:30  3:25 

PLACE:  Earth Science 152A 

INSTRUCTOR:



TEXT:

K. Hoffman & R. Kunze, Linear Algebra,

2nd edition, Prentice Hall, 1971.



PREREQUISITE:  Elementary Linear Algebra (Math 220)

COURSE CONTENT
This course presumes a knowledge of linear algebra at the level of the
second undergraduate year.
The main topics to be covered are multilinear algebra (including
bilinear forms, Hermitian forms, duality, the tensor product,
symmetric and exterior powers for vector spaces) and the theory of
rational canonical forms (the similarity problem for square matrices).
There will be a very brief review of topics from the elementary
course.
Most of what is done in this course will be done over an
arbitrary field of scalars. While the cases of real scalars
and complex scalars have always been regarded as fundamental for
“application”, it is also the case that competent advanced
use of computers with problems in applied linear algebra [a topic
beyond this course] requires an understanding of linear algebra over
the rational field. There is essentially no additional effort
involved in covering the subject for an arbitary field of scalars than
is required for coverage of these three basic fields. Additionally,
there is substantial reason in many topics arising both in algebra and
in geometry for having coverage of more general fields.
TEST SCHEDULE & GRADING:
Event  Weight  Date 
Final examination  100  as set by Registrar 
Midterm test  50  Mon. Oct. 21, in class 
Written Assignments (5@10)  50  as announced 
Total weight  200  
Footnotes
 * Change in office hours
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