Advance Linear Systems
Course Description:
This is an advanced level class that studies linear systems and the associated
mathematical theory. The
coverage of this class includes linear equations, spectral theory, normal
matrices, projections, quadratic
forms, and dynamical systems (both discrete and continuous time).
Recommended prerequisites: Math 480 or equivalent undergraduate linear algebra class.
Textbook:
C.T. Mullis, ECE5448: Advanced Linear Systems Course Notes, unpublished.
Available for purchase at
FedEx/Kinkos on University Ave.
Other Good Reference Books:
D.S. Berstein, Matrix Mathematics: Theory, Facts, and
Formulas with Application to Linear Systems
Theory , Princeton University Press, 2005, ISBN: 0691118027 .
R.A. Horn and C.R. Johnson, Matrix Analysis, Cambridge University Press, 1990, ISBN: 0521386322
C. Meyer, Matrix Analysis and Applied Linear Algebra, SIAM, 2001, 0898714540
Software:
None
Online Resources: WebCT
Course Objectives:
The objective of this course is to provide students with a
solid foundation in linear algebra and matrix
analysis-- the language of communications, control, and signal processing
theory. This foundation will
help to enable graduate students to understand research articles published in
these fields. This objective is
achieved through an advanced level of understanding of essential algebraic,
structural, and numerical
properties of linear equations and systems.
Grading:
Homeworks: There will be weekly homework
assignments chosen from the Mullis text. Worth 30% of the
final grade. These problems may be solved cooperatively, but each student must
turn in his or her own
homework assignments. Furthermore, all problems must be submitted in the
assigned order and a list of all
students that the student worked with when solving a given problem must be
provided at the top of the
solution to that problem. Finally, all problem set must be placed into an opaque
(e.g., manilla) envelop for
submission (the envelope will be returned with the graded homework set in it).
Late assignments will not
be accepted
Presentations: There will be weekly presentations
of individually selected problems chosen at random
from the textbook. The lowest presentation score will be dropped. These
presentation problems must be
solved on an individual basis (i.e., no group solutions), but you may come
to the instructor for advice
and guidance. Presentations should be written (or printed) out on blank
transparencies prior to arriving at
class. These presentations are worth 20% of the final grade and they will be
made on the Friday of each
week. Absence from the presentation period is not allowed accept in the case of
a documented medical
emergency or for other serious reasons at the discretion of the instructor.
Bonuses: Significant critique of presentations
(pointing our incorrect assumptions or flaws in the proof)
will be eligible for bonus points up to 5% per incident with a maximum of 10%
applied to the final grade.
Exams: There will be a midterm exam, each worth 25%
of the final grade. Date: Friday, March 16,
10:30-12:30.
Final: The final, comprehensive examination is
worth 25% of the class grade. Date: Monday, May 7,
10:30-12:30.
Re-grading: If a student feels that the grading on
any assignment or exam is in error, they must bring the
problem to the instructor's attention within 1 week of receiving the graded
assignment back from the
instructor.
Policies:
Again, collaboration on weekly homework problems is
allowed as long as all of the collaborators are
identified. No discussion or collaboration is allowed for presentation problems
except with the instructor.
EEO/ADA Information:
Feel free to call Jerry Nevarez, Director of Institutional
Equity, at 505-646-3635 with any questions you
may have about NMSU's Non-Discrimination Policy and complaints of
discrimination, including sexual
harassment.
Feel free to call Michael Armendariz, Coordinator of
Services for Students with Disabilities, at 505-646-
6840 with any questions you may have on student issues related to the Americans
with Disabilities Act
(ADA) and/or Section 504 of the Rehabilitation Act of 1973. All medical
information will be treated
confidentially.
Prepared by: C. Creusere, 01/19/07