MATHEMATICS 251- MATRIX ALGEBRA I- FALL 2000

GOAL  : First course in linear algebra,  emphasizing solution of linear
systems, geometry of linear transformations, eigenvalues/eigenvectors

TEXT:  Howard Anton, ELEMENTARY  LINEAR ALGEBRA, J.Wiley, 8th. ed. (2000)

TIME/PLACE  MWF 1:25-2:15, Ayres 318

GRADING: based on quizzes (25%), three in-class exams (15% each), comprehensive final (30%)

EXAM DATES:  9/22,  10/20, 11/17 FINAL: 12/14, 8:00-10:00

Please let me know ahead of time if you can't make it to class on those dates due to other
university activities. Starting on 9/1, there will be a 15-min quiz every
Friday, consisting of two of the problems listed for the sections covered that week (total of 10 quizzes).

EXPECTED GRADING SCALE:  A: 85+  B: 70-84  C: 55-69 D:50-55; less than 50 (ave. or final):F

ATTENDANCE:  Attendance to every class meeting is expected.  I would like to spend most of the class time
on examples and problems, so it is a good idea to read the theory in each section before it is covered in class
(as a rule of thumb, expect 2h of study time for every 50-min lecture). Some of the problems listed for each section
will be done in class as examples; the remaining problems should be considered homework, and will be used
in the Friday quizzes.

A  solutions manual is available at the UT bookstore; solutions manuals can
be helpful, but can also become dangerous tools.  If you do not attempt to
solve problems on your own before checking your work , you will not learn the subject.

CALCULATORS may be used freely- in fact I hope you will quickly become familiar
with calculator operations useful for basic linear algebra.  As a guide to what this means,
I have written the following:
GUIDE TO BASIC LINEAR ALGEBRA FUNCTIONS (TI-85)

OUTLINE OF THE COURSE (43 class meetings)

Part I: Solution of linear systems, linear operators in Euclidean space: Ch.1,2,4

Part II: vector spaces, subspaces, bases: Ch.5

Part III: orthonormal bases, least squares, applications: 6.3-6.5,9.3, 9.4

Part IV: eigenvalues, diagonalization, similarity: Ch. 7, 8.5, 9.1

Some sections are designated "optional reading"- read them if you have time
(they might be helpful for the rest), but they won't be covered in class or tested in
the quizzes and exams.