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 #1-5)
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 Moore-Penrose 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
Sturm-Liouville 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.