Math 314
Matrix Theory Home Page
Spring, 1999
Mark Brittenham
This page is devoted to materials and links specific to Mark Brittenham's Math 314 class
for Spring, 1999. Here you may find lists of homework assignments,
dates for exams, as well as lists of topics covered by these exams,
an htmlized copy of the course summary, and anything else that
might come up.
Some linear algebra links:
A
general page of links to linear algebra resources includes a set of
WebNotes
by a former UNL professor, which in turn points to a webbased
Maple V frontend.
(The only problem with the frontend is that it has no help file, so you need to
memorize the appropriate
commands in order to use it.) As an example, you can cut and paste this stuff in:
with(linalg);
A:=matrix([[.1,.3,.7],[.4,.3,.1],[.5,.4,.2]]);
v:=matrix(3,1,[.2,.3,.5]);
w:=matrix(3,1,[.9,0,.1]);
evalm(A^20*v);
evalm(A^20*w);
(These are examples of Markov chains. If you want to have some fun, change
the 20's to 20000's.... note the amount of time (at the bottom) each takes...)
Some (mathematical) links that might be of general interest:
A site called SOS Math at the Univ. of
Texas at El Paso offers pages of material on topics ranging from polynomial long
division, the quadratic formula, and trigonometric identities, to Taylor polynomials,
the CauchyRiemann equations, and Matrix algebra.
Another site covering similar material,
including solved homework problems for you to practice on, is kept in Belgium.
Dan Sloughter has a web page containing
Java programs for visualizing various mathematical concepts. My favorite is one which will
draw the Taylor polynomial approximations
for y=sin(x) .
A site called Karl's Calculus Tutor
currently covers most of what would qualify as firstsemester calculus, and some of the
second semester, as well.
Forget a geometry formula? Check
this page at Trinity College.
A Javaenabled page for generating
Pascal's triangle (or rather, the last two digits of each entry, which is good enough
through the 24th line). What's the pattern of the even numbers in the triangle?!
