M 340L Matrices and Matrix Calculations
Spring 2006 Syllabus
Register via University Extension

Unique Number: ;
Time and Room: Wednesday 6:009:00pm, PAI 3.20

Instructor:
Prof. David R. Kincaid, Ph.D.
Email:
kincaid@math.utexas.edu
Web Page:
http://www.cs.utexas.edu/users/kincaid/
Kincaid's Class Web Page:
http://www.cs.utexas.edu/users/kincaid/M340L/
Office: PAI 5.48;
Phone: 4719783;
Fax: 4718885
Office Hours: Immediately before/after class or via email
or by appointment.

Prerequisites:
One semester of calculus with a grade of C or better.

Textbooks:
Course lecture notes are available online or for purchase
at copyshop depending on enrollment.
Save at least $100 by not having to buy a hardback textbook!!!

Grading:
Item 
Percentage 
Exams 
50% 
Exam Final 
25% 
Homework Assignments 
15% 
Misc. (Bonus) Points 
10% 

Exams:
Exams will be given approximately three times during the class
on dates announced by the instructor one week before each exam.
Each exam will emphasize material since the previous exam but
may include any previous material.
Exams will consist primarily of problems similar to homework
problems, examples discussed in class, in the lecture notes, or in the
textbook, and so on.
NO makeup exams will be given!
To allow for the normal learning process and because
the material gets more difficult,
the instructor may take into consideration
improvement in performance on the exams
by increasing the importance of each exam as we go along
and adjusting the grade percentages
accordingly.
On exams you should work entirely alone without using
notes or books unless instructed otherwise.

Final Exam:
All students must take the final examination (3 hours)
at the indicated time and date.
On the final exams you should work
entirely alone without using notes or books unless instructed otherwise.

Miscellaneous Points:
Miscellaneous points are available throughout the semester for
class attendance, participation, etc., inclass work such as
pop quizzes, work at the board, etc.,
and additional problems on some assignments.

Grading:
Normal grading standards (90 ~ A, 80 ~ B, etc.)
are used for the final letter grades.
(Final grades may be curved upward slightly, at the instructor's
discretion, but never downward.)

Homework:
Homework is assigned during each class meeting.
Homework assignments are due at the beginning of the next class.
NO late papers will be accepted!
Students may be asked to work
homework problems at the board and/or to write down the solutions
of some of the problems during class.
The should be neatly organized and stapled.
As will business or official documents, the homework assignments
must be done carefully and written legibly on standard size
paper according to the following instructions.
Please do homework on standard college rule 8 1/2'' x 11'' paper
or other standard size good quality paper.
Please write only on the front of each sheet.
Box answers where possible.
Fold in half lengthwise and staple in the top lefthand corner.
On the first page and the outside page write your
Name, Course Number, Assignment Number, and Date.
Also, put your last name on each page.
Put solutions in order and number pages.
Since there is no grader for this course, the instructor may
decide to not grade all homework problems but rather a random sampling of them.
A small percentage of your final average on homework will be dropped to
allow for normal mistakes of one kind or another (yours or mine)
and absences.
(When you apply for a job, write a business or technical report,
file a government document or application, etc.,
they must be done in a standard way according to set instructions.
So let's get used to do things in a nice orderly fashion.)
The key to a good grade in this course is a good grade on the homework
assignments.

Academic Integrity:
You may collaborate on homework in the following way only.
On a particular problem, first, you should try to work the problem
by yourself. If you are unsuccessful after you have identified relevant
definitions and theorems and have considered several possible approaches
to solving the problem, you may talk to your colleagues. Before you
writeup your work: separate, rethink the solution, and write up your
solutions alone. You may compare the answers before turning them in to
see if you got the same answers but do not copy solutions from each other.
What you submit should be your own work.
In working the homework problems, you are encouraged to look at other
books such as Lay's textbook and the Student's Study Guide for it.
They may give you ideas, or contain similar problems.
See
Code of Conduct.

Attendance:
Class attendance is expected.
As much as possible, students should attend all classes,
come on time and not leave early.
A student who misses a class is responsible for finding out
what was covered in class, what the homework assignment was,
and whether or not an exam was announced. This information
should be obtained from another student.
Missing one meeting is equivalent to missing three one hour lectures
or a week of a regular class!
Because students may be asked to work homework problems on the board or may be
given inclass work to do at any time during the class,
it is recommended that you attend each class and stay until the end.

Email/Web Site:
All students are urged to obtain an email address for class
communication. Some course material may be accessible from a Web site.
See, for example, the class Web site
http://www.cs.utexas.edu/users/kincaid/M340L/

Lectures:
As much as possible, the following is recommended:
Before each meeting of the class, students should
lookedover the sections in the book scheduled for that meeting.
Then try to work some of the easy problems pertinent
to the topics in each set such as
some of the first few oddnumbered problems,
which have answers in the back of the book.
In this way, class time can then be devoted to clarification, to
examples, and to further exploration of the material.
Do not expect a new, detailed, exposition of the each section of
the book. Consequently,
there will be instead plenty of time for answering your
questions, for additional discussion, for illustrations of the theory,
as well as going over the previously assigned homework and for examples
problems.

Computers:
Computer accounts may be available to you.
If so, some homework problems may be give involving the use of
mathematical software such as Matlab or Maple. It is to your advantage to learn
how to do vector and matrix calculations using mathematical software.
However in using software, remember that you should know how the problem
must be worked, even if you turn over the drudgery of calculations
(arithmetic) to the computer. Exams usually
do not require a detailed knowledge
of Matlab, Maple, or other mathematical software.

General Policies:
All University policies apply to this course, including (1) the
accommodation of disabilities, (2) allowed absence for religious holy
days (see the current General Information catalog, Chapter 4,
"Attendance"), and (3) scholastic dishonesty. Students who violate
University rules on scholastic dishonesty are subject to disciplinary
penalties, including the possibility of failure in the course and/or
dismissal from the University Extension program or The University.
(For relevant definitions, see the current General Information
catalog, Appendix C, Subchapter 11800.)

Additional reading and study:
New and used textbooks are available at universityarea bookstores
as well as online.

Linear Algebra and Its Applications, Third Edition,
David C. Lay, AddisonWesleyLongman, 2002.
(ISBN 0201709708)

Student's Study Guide, Third Edition,
David C. Lay, AddisonWesleyLongman, 2002.
(ISBN 020177013X)

Lay's book comes with access to Web pages at
http://www.laylinalgebra.com

Outline:
An outline of a course based on Lay's textbook
is essentially the first six chapters in the book
(approximately three sections per class meeting
with some material omitted):
(1) Linear Equations in Linear Algebra,
(2) Matrix Algebra,
(3) Determinants,
(4) Vector Spaces,
(5) Eigenvalues and Eigenvectors, and
(6) Orthogonality and LeastSquares.

Study Aids:
It is highly recommended that students use Lay's book buy a copy of the
Student's Study Guide.
Also, Web pages associated with this textbook may be helpful to you.
There are many other books on elementary linear algebra, which may be helpful.
Other material may be available from various URL
sites on the World Wide Web.
Also, some supplementary material may be given out in class or
available from a local copy shop. Focus primarily on these lecture
notes, the textbook, and the study guide.

Schuam's Outline Series: Linear Algebra

Other textbooks on elementary linear algebra may be available
in the PhysicsMathAstronomy Library (RLM 4.200).
Last Updated 01/03/2006