Topics: The
course covers various topics in matrix theory and their applications,
including: (a) Decompositions and canonical forms of matrices, with
applications to dynamical systems, numerical methods, optimization, and
functions of a matrix; (b) Eigenvalue properties of non-negative
matrices, with applications to Markov Chains and population dynamics;
(c) Generalized inverses of matrices, with applications to linear
equations, linear Diophantine equations, statistics, and optimization.
For details on the topics covered see
here.
Text Materials: We will be following Notes
that are available at the Campus
Bookstore. Here are a few other resources
available in the Douglas Library, some of which have been place on
reserve for three-day loan. More resources are listed in the
Bibliography in the Notes.
Prerequisites: First and second year calculus, and some linear
agebra beyond first year.
Evaluation:
Homework (each
Thursday)...10% ;
Project (for grad students)....10% (See details here.)
Test (Wednesday Oct. 28)......20% ;
Exam. . .60% or 70%, or 100% if better than class
mark.
Homework:
Click here to see weekly
homework assignments and solutions. Software
You will certainly need some math software (Matlab, Maple,
spreadsheets, etc.) You may use any software you like for assignments,
etc. For tests and exam you may only use hand calculators.
I recommend Scilab. Have a
look; it's an excellent free numerical methods program, very
similar to Matlab.
For doing matrix row/column/pivot operations, download the handy matrix
program MATRIX.
