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

Modified:
Tuesday, 02Aug2016
Printed:
Sunday, 24Sep2017

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

Aut2012: MAD4203 3214 Intro.Combinatorics.1 MWF4 LIT219 (SW)

(Nostalgic?, see the
1994-1995 pages.)

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).

The various Combinatorial czars who help out.

Projector/Computer | Chalk | Blackboard | Arc-Probs | Time | Phone-list |
---|---|---|---|---|---|

James | Patrick | Patrick | Max/Alex | Jeremy | Tali |

- Next semester, we will use Herb Wilf's wonderful Generating Functionology, which he has made freely available.
- The thought-provoking Class-D (pdf). is online, and eagerly awaiting your Ideas.
- An appreciative crowd intoned:
Lattice always remember that Stirling moment when we first saw Class-C (pdf).

Yes!

, cried a lady with a Perm, riding a 2-cycle,it is a Sign that all is well-defined with the world...

- Below, are the quizzes from Combo1 and Combo2.
- Curious onlookers marveled at Class-B (pdf) and its clean, minimalistic two-tone format. Folks exclaimed in pleasure at the familiarity of first question, and the shortness of the exam.
- Only a
*Math Geek*would think about some Current Combo Problems (pdf). [Updated: Tuesday, 27Nov2012] - Whatever you do,
*Don't look at*Past courses with notes, exams and links…. -
Our Combinatorics Syllabus (txt) is available. We also have a course-archive at a private URL, only for the use of the students in our class.

There will be ** not be a final exam** .
Here is the thought-provoking end-of-semester
Project-E (pdf),
to be

*The final project must be carefully typed.*
I recommend learning the free
mathematics-typesetting language
.
(It is the archive language of the American Mathematical
Society.)
It can be learned in a week. It is very good for typesetting homework.

**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.

Our textbook is
A Walk Through Combinatorics
(3^{rd} edition).

The book is

Author: | Miklos Bona | Year: | 2011 |

ISBN: | 9789814335232 | Publisher: | World Scientific Publishing |

`QA164 .B66 2002`

at Marston.
A link to
this book at The Publisher's site.
There was a **test of prerequisite knowledge**
Friday, 24Aug2012.
The Prereq encouraged
students to self-evaluate if they should be in the course.
The mini-test will count for 4%—8% of course grade.

The mini-test selected *some* topics from your
**Calc knowledge**
(Integration by parts,
Intermediate-Value Thm and Mean-VT.
Chain rule,
etc.),
**High-school** knowledge
(formula for a line between two points, the Quadratic Formula,
intersecting a line with a parabola, etc.),

It also asked you to know the Math-Greek alphabet (pdf), which we will use in class frequently.

Here is a sample test (pdf) which was much longer than the actual prereq.

Spr2013: MAD4204 4563 Intro.Combinatorics.2 MWF4 LIT217

Greetings. This is a continuation of my Combinatorics 1 (above).

The Intrepid
Combinauts and
Combinautesses.
(Click for a larger version. *Which ones were also in the
NumberTheory/Crypto course?*)

The various Combinatorial czars who help out.

Computer/Proj | Chalk | Blackboard | E-Probs | Time | Phone |
---|---|---|---|---|---|

Patrick/Thom | Dillon | Dillon/Thom | Cayley | Brian | Jordan |

Quantifiers ∀ and ∃ (“for all”

and“there exists”) are like nitroglycerin, in that one little mis-step leads to the whole thing blowing up in your face.There is no partial credit when it comes to Explosives and Quantifiers.

-JLF King

There is ** no final exam** .
Here is the thought-provoking end-of-semester
Project-H (pdf),
to be

*The final project must be carefully typed.*
I recommend learning the free
mathematics-typesetting language
.
(It is the archive language of the American Mathematical
Society.)
It can be learned in a week. It is very good for typesetting homework.

**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.

- The much-beloved
Home-G (pdf),
coloring our view of polynomials,
was following by
Class-G (pdf),
which asked:
If a spanning-tree falls a spanning-forest....

. Here are a few Solns to Generating-Function problems (pdf), which are good to go through, before the exam.

*Please email me about errors or infelicities in my writeup. Ta.*, was the word some folk used to describe Class-F (pdf). Others preferredInspiring!

. Also heard wereGalvanizing!

andA succinct synopsis of the semester so far

After this chapter, I now feel Generally Functional….

- Available are all the Combo quizzes so far (pdf). [Updated: Friday, 22Mar2013]

In all of my courses, attendance is absolutely required (excepting illness and religious holidays). In the unfortunate event that you miss a class,you are responsibleto get all Notes / Announcements / TheWholeNineYards from a classmate, or several. All my classes have a substantial class-participation grade.

Our Combinatorics 2 Syllabus (txt) is available. We also have a course-archive at a private URL, only for the use of the students in our class.

- "How To Write Proofs" (html), by Prof. Larry W. Cusick, [INTERMEDIATE]. Excellent. Examples mostly from Elem. Number Theory; some from Calculus.
- Prof. Christopher Heil's page (pdf) [4 pages, INTRO]. A well written survey of the structure of proofs. Has one example of induction (recursion).
- “How to write proofs: a quick guide” by Prof. Eugenia Cheng (pdf)
[17 pages, INTRO].
Good, friendly. She is stricter than I in the ordering of steps in a proof.
Conversely, her write-up is lax in places where I am strict:
- Always use a
*word/phrase*, and never a comma, forthen

; e.gthen

ornecessarily

orwe discover to our delight that

. - She has proof snippets in her examples, but remember
that
*your*proofs must be written as a sequence of complete, grammatical sentences, correctly punctuated, structured into coherent paragraphs.

- Always use a