Our Teaching Page has useful information for students in all of my classes. It has my schedule, LOR guidelines, and Usually Useful Pamphlets. One of them is the Checklist (pdf) which gives pointers on what I consider to be good mathematical writing. Further information is at our class-archive URL (I email this private URL directly to students).
Students pointed out that Class-D (pdf) was too short --Have you no respect us, Prof. King?-- but was the nonetheless fun.
Time permitting, tomorrow (Wedn.) we'll have a bonus-quiz whose score I'll directly add to the exam score.
It might be “Find the closest point on this line to this
[in 2 dim'al, or N dim'al space –use Proj() and Orth()].
It might be computing Proj() w.r.t an IP defined by a positive-definite matrix.
It might be computing Orth() w.r.t the complex dot-product
(which is conjugate-linear in its first argument).
Make sure that you can do all of the short-answer questions on
Class-D, and the problems on the above
quizzes so far
Class-C (pdf) took place on Wednesday, 13Oct, to joyful shouts of acclaim and fascination.
Characteristically, Polly Nomial
was very determinant to make an appearance, which she did along with
Unlike polite Polly, question (C1) had attitude:
What are ya tryin' ta Prove?!, buddy, it seemed to say.
It also seemed clueless …not quite spacey
—subspacey, might be a better term.
Fortunately, we were able to
resolve the (C1) conundrum (pdf).
A Good Time was had by all.
In browsers that support CSS3 (Firefox does, and is available in our classroom) this demo page illustrates these linear transformations: Dilations, Rotations and Shears. It also shows the affine transformation of Translation.
Please have perused the Wikipedia pages that define Group, Ring, Field as well as Set builder notation.
We have learned the Euclidean algorithm
in the form of the Lightning bolt algorithm
We saw an example of a Game isomorphism
between TicTacToe and the “Game of 15”.
We had the Prereq exam, which tested The Math-Greek alphabet (pdf), basic proof techniques (e.g, induction), simple logical properties (e.g, what is a contrapositive), and High-school knowledge (e.g, quadratic formula).
Our LinA class has a LISTSERV archive. I will email to each student how to post-to and read-from the Archive. (The archive is at a private URL, only for the use of the folks in our class.)
Our Lina syllabus [Friday, 22Oct2010] has tentative exam dates, as well as the first homework and reading assignment. It also mentions the Class photo Day.
|Author:||Friedberg, Insel, Spence||ISBN:||978-0130084514|
Various math czars who help out.
If this is useful to you, here are my webpages for Linear Algebra, 2005, as well as Computational Linear Algebra from 2007 (Spring and Autumn), 2002 and 1998. All of my previous course “Notes, Exams and Links” are available from the Teaching Page.
The Optional individual-project E (pdf), was due, slid u n d e r my office door (Little Hall 402, Northeast corner) , no later than noon, Friday, 10Dec2010.
The project must be carefully typed, but diagrams may be hand-drawn.