Goto: Prof. King's page at Univ. of Florida.
Or: JK Homepage.

Modified:
Friday, 12Nov2021
Printed:
Friday, 21Jan2022

Page:
http://squash.1gainesville.com/Include/thispage.shtml

Aut2010: MAS4105 3247 Linear Algebra 1, 7th, MWF:LIT237, Tu:LIT207

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).

- Available are all the quizzes so far, and some potential future quiz/text questions (pdf). [Tuesday, 30Nov2010]
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 point” [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 abovequizzes so far

link.- There was
*no class*on Friday, 15Oct, as this is UF's “Homecoming day ”. -
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 her friend

x

.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 —*sub*spacey, might be a better term. Fortunately, we were able to resolve the (C1) conundrum (pdf).Prob (C2), a basis for Range(L_S): One method uses RREF(S) (txt). Another method uses RREF(Transpose(S)) (txt).

- Here are some examples of change-of-basis, applied to rotation matrices.
- The outrageously cheerful
Class-B (pdf)
[on Wedn., 22Sept]
concentrated on the RREF algorithm, with a sub-emphasis on
*linearly-independent sets*. The critics effused over the exam's clean lines and minimalistic two-tone format. Gaiety and applause greeted the novelty of ending with a True-False query. Our reporter concludes:.A Good Time was had by all

- The prereq exam, Class-A (pdf), seemed to be easy for folks.

- Weeks 1 & 2:
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 (

LBolt

). 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**.

Our *main textbook* is
Linear Algebra (**4**^{th} edition).

It is available from the publisher and from online booksellers.

Author: | Friedberg, Insel, Spence | ISBN: | 978-0130084514 |

Year: | 2003 | Publisher: | Prentice Hall |

It is available from the publisher and from online booksellers.

Various math czars who help out.

Time | Chalk | H-Probs | Blackboard | Computer/Proj |
---|---|---|---|---|

Kaitlin | James | ? | Sean | James |

If this is useful to you, here are my webpages for
*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.

**At all times** have a **paper copy** you can hand-in; I do
** NOT** accept
electronic versions.
Print out a copy

My dog ate my homework.)

Please follow the guidelines on the
*Checklist*
(pdf, 3pages) to earn full credit.

You may wish look at the

Here is part of the Autumn 2005 LinA page:

Our *main textbook* is
Linear Algebra (**edition 4/E**).

Author: | Friedberg, Insel, Spence | ISBN: | 0-13-008451-4l |

Year: | 2003 | Publisher: | Prentice Hall |

- Course syllabus and first homework assignment.
- The practice A-InClass (pdf) preceded the fascinating A-Home (pdf) and A-InClass (pdf).
- B-Home (pdf) led to practice B-InClass (pdf) [30Oct2005]. Make sure that you know the Primer on Polynomials in advance of B-InClass (pdf) [04Nov2005].
- C-Home (pdf) is available.