
Syllabus


Examples with Matlab: link to the WWW page of
The MathWorks


Matlab Primer: it is a 36 page Postscript
document by Kermit Sigmon


Class demo: June 19, 1997  this is about finding
the inverse of a matrix and of its adjoint; the issue of
accuracy of the calculations is also addressed


Class demo: June 19, 1997  this is about the use
of the principle of superposition


Class demo: June 20, 1997  this is about the
solution of systems of linear equations by means of the
Gaussian elimination process or the "x=A\b" command


Class demo: July 3, 1997  this is about the
use of the command rank


Prof. Cowen's First Midterm: this is a copy of the
first midterm given by prof. Cowen during the
Spring session of MA 511


Prof. Heinzer's First Midterm: this is a copy of the
first midterm given by prof. Heinzer during the
Fall session of MA 511


Review problems #1: this is the first
homework assignment designed for a graduate Linear
Algebra class that I taught at Rutgers University; it
deals with matrices and systems of linear equations


Review problems #2: this is the second
homework assignment designed for a graduate Linear
Algebra class that I taught at Rutgers University; it
deals with vector spaces.
(Note: skip part (b) of problem
#3; also problem #5 has not been covered in class,
yet)


Rutgers' First Midterm: this is the first
midterm designed for a graduate Linear
Algebra class that I taught at Rutgers University.
(Note: you are only interested in problems #15)


Practice for the Second Midterm: This is a
collection of problems from various sources. It
includes all the problems that I gave in my
Rutgers course, some of the problems from
Professor Cowen's second midterm, and others
too. Note that Professor Cowen had his second midterm in a
computer lab: this explains why certain problems
look so hard for hand calculations.
Don't get scared by the difficulty of the EXTRA
CREDIT problems. It was the opportunity for me to
point out the more general setting for the least
squares solution of a system of linear equations
(i.e., the MoorePenrose pseudoinverse) and
to show you that the eingenvalues and eigenvectors
problem is also very important for linear
transformations of infinite dimensional vector
spaces. In particular, you can show that the
Legendre polynomials, that we already met
in a homework assignment, are the eigenvectors of the
SturmLiouville operator.


Practice for the Final Exam: Recall that
the final exam is comprehensive. It will be given
on August 6, 1997 in room EE 170 from 3:20 pm till
5:20 pm.
