Monday through Friday, 8:00-9:30, Ayres 129

First class: May 30 Last class:
July 3

*GOAL: *second course in linear algebra for
mathematicians, scientists and engineers.

Structure of linear operators on finite-dimensional
vector spaces, including

the spectral theorem and the Jordan canonical form. Students
will be expected to

study and understand *proofs, *and to provide complete
proofs of simple statements.

This is *not *a `computational' course.

*PREREQUISITE: *Math 251 or 257. Familiarity with
the language of elementary

set theory.

*TEXT: Linear Algebra Done Right, *by Sheldon Axler.
2nd. edition, Springer-Verlag 1997

*ATTENDANCE* to every class is expected. On occasion
I will introduce material not

found in the text; such material is an integral part
of the course. If you have to miss a

class, you must find out what was covered. (Check the
course
log . ) It is probably a good

idea to *take notes. *I encourage students to *ask
questions* during class. Some sections in

the text won't be covered in class- there will be *reading
assignments.*

*GRADING *will be based on three exams, or two exams
and homework (see below).

The first exam will follow chapter 5, the second
will be given after chapter 7 and the

last one after chapter 9. (At least two days between
conclusion of a chapter and

the corresponding exam) Expected *grading
scale:*A=80 and above, B=65-79, C=50-65,

less than 50 ave: F (D's in borderline
cases).

Deadline to drop the class with
WP: June 25- you must bring a form for me to sign.

*HOMEWORK(revised policy): *
A list of problems from the text will be posted on

the `course log' page after each class. Turn in two
of
those at the beginning of the

following class. The homework grade will count as one
exam. (Of the four grades-

three exams and one homework grade- only three will be
used for the final average.)

*OFFICE HOURS *for this course will be the one-hour
period following each class.

I will also answer questions by e-mail.

*COURSE OUTLINE:*

1-Vector spaces

2- Linear independence, basis, dimension

3-Linear maps

Chapter 4 is a *reading assignment*

5-Eigenvalues and eigenvectors

EXAM 1

8-Operators on complex vector spaces

9-Operators on Real Vector spaces

EXAM 2

6-Inner-product spaces

7-Operators on inner product spaces

X-The classical matrix groups

EXAM 3

Other topics ( Differential equations, stochastic matrices
and linear

dynamical systems) will be included depending on the
time available.