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

Modified:
Tuesday, 02Aug2016
Printed:
Wednesday, 17Jul2019

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

Aut2018: MHF3202 2787 Sets.&.Logic MWF6 [12:50-13:40] LIT233 (CE)

...will be due, slid u n d e r my office door (Little Hall 402, Northeast corner) , no later than 2PM, Thursday, 06Dec2018

*The SeLo Project must be carefully typed*,
but diagrams may be hand-drawn.

For the typesetting, one possibility is the (free) mathematics-typesetting language . It can be learned in a week. (It is the archival language of the American Mathematical Society.)

**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.

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

Please take a gander at Past courses with notes, exams and links.

*If you want, for your IOP*:

The edge-graph of a dodecahedron, for vertex-label diagrams.

A template, for making a 3D-dodecahedron.- The highly-unfinished Primer on cardinality. [Wednesday, 28Nov2018]
- In one convenient location: All 9 SeLo quizzes so far (pdf), [Monday, 26Nov2018]
- We went
*One-on-One*with the cheery Class-C, and we Won! - The PList: Problem List for SeLo (pdf). [Friday, 19Oct2018]
- The tilable
Home-B (pdf)
was loads of fun.
Computer-generated pictures of Lmino Tilings (txt), illustrating a geometric induction-argument.

The domino-tiling sequence on 2xN leads to the roots of the problem. The second part of

*domino-tiling*is solved on Home-B, but I have not yet typeset the solution presented in class for the first part.The nifty Class-B graced its way into existence on Wedn., 24Oct2018. It had a nice question about tilability of unions.

- The famous On-line Encyclopedia of Integer Sequences, and some W: OEIS history, and a video with a challenge at the end.
- A std proof of the
Inclusion-Exclusion principle (pdf), together
with
*Candy-Store*,*Derangement*and*Stirling-number*examples. - Please glance at Ring Basics. Have read and throughly understood Euclidean algorithm (up through “Extended Euclidean...”) and Modular arithmetic (up through “Applications”).
- The cute Home-A was followed by the highly-praised Class-A, much admired for its two-tone format, and the comic relief of the Three Stooges.
- Please have learned the Math-Greek alphabet (pdf).
- Have read and throughly understood Set-builder notation (up through “Equivalent predicates...”)
- Does Zero = One? (pdf).
Here are some
~~proofs~~*poofs*to post about... - Voila! our SeLo syllabus. Recall that events may necessitate date-changes of exams.
- Nostalgic?, see
Spring 2012
OR
Autumn 2011
which also has
**Autumn 2009**and**Spring 2008**.

The various Math czars who help out:

Time | Computer | Blackboard | Spur-OTM-Probs | Phone-list |
---|---|---|---|---|

Kailey S. | Jeremy M. | ? | Joey, Mario, Patrick | Aerin B. |

- "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

Our textbook is
How to prove it,
(**Second** Edition).

Here are links to this book at The Publisher's site and at Amazon.com.

Author: | Daniel J. Velleman | ISBN-13: | 978-0521675994 |

Year: | 2006 | Publisher: | Cambridge University Press |

Here are links to this book at The Publisher's site and at Amazon.com.

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).

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.