Class:  Math 574,  Class
Room:  KAP 134
Time:  MW 8:40 - 9:55 AM

Instructor:  Robert Guralnick
Office:  DRB232
Phone:  740-3787
Fax:  740-2424
Email:  guralnic@usc.edu

Office Hours (subject to change):   MW 10 - 11:30

Web Site:  http://math.usc.edu/~guralnic/574

Required Texts:  Bhatia, Matrix Analysis Horn & Johnson, Matrix Analysis

Course Goals:  To introduce the main concepts and ideas of matrix theory and linear algebra and to indicate how matrices can be used in other aspects of mathematics.

Course Description:  Some of the topics to be included are:

1.  Equivalence of matrices with applications to determinants, linear system theory,  and
     linear programming;

2.  Similarity of matrices and canonical forms with applications to matrix equations;

3.  Functions of matrices with applications to differential equations;

4.  Special classes of matrices and representation theorems for real and
     complex matrices;

5.  Quadratic and hermitian forms with applications to roots of polynomials
     and stability;

6.  Non-negative matrices including Perron-Frobenius theory with applications
     to stochastic processes and oscillation theory;

7.  Other topics as time permits.
 

Grading:  There will be approximately 4 homework assignments to be turned in (there will
               be other homework assigned as well);  In addition, there will be two midterms,
               but no final exam.  The homework and each of the midterms will count for 1/3
               of the grade.

Midterms:  Dates to be determined

Homework: See the page on homework.