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

Modified:
Tuesday, 02Aug2016
Printed:
Saturday, 18Jan2020

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

Spr2020: MHF3202 3E07 (18129) Sets.&.Logic MWF5 [11:45-12:35] Matherly 006

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

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.

We will use two, free, online texts. They are:

The Book of Proof, by Richard Hammack.

Additionally, we will use Transition to Higher Mathematics: Structure and Proof, by Bob A. Dumas and John E. McCarthy.

The Book of Proof, by Richard Hammack.

Additionally, we will use Transition to Higher Mathematics: Structure and Proof, by Bob A. Dumas and John E. McCarthy.

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

- The PList: Problem List for SeLo (pdf), [Tuesday, 07Jan2020]
- Our SeLo syllabus (pdf) has clickable links.
- The famous On-line Encyclopedia of Integer Sequences, and some W: OEIS history, and a video with a challenge at the end.
- Near Future: Please read
and throughly understood the
Euclidean algorithm
(up through “Extended Euclidean...”)
and
Modular arithmetic
(through “Applications”).

Medium Future: From our Teaching Page, have readLightning-bolt algorithm (pdf)

[pages 1-3. You are not responsible for pages 4,5];practice sheet for LBolt (pdf)

[print on paper and work through several examples];Algorithms in Number Theory (pdf)

[you are responsible just for the Iterated Lightning-bolt part, page 1] - A std proof of the
Inclusion-Exclusion principle (pdf), together
with
*Candy-Store*,*Derangement*and*Stirling-number*examples. - Exams/notes from previous incarnations:
Aut.2019,
Aut.2018,
Spr.2017,
Aut.2013,
Spr.2012,
OR
Aut.2011
[which also has
**Autumn 2009**and**Spring 2008**].This will help you decide if my teaching-style is the right style for you.

- Future: Please skim Ring Basics.
- Future: The mostly-finished Primer on cardinality.

The various Math czars who help out:

Time | Computer | Memory/telepathy | Spur-OTM-Probs | Phone |
---|---|---|---|---|

Jonathan S. | Teegan B. | ? | ? | Chris P. |

- "How To Write Proofs" (html), by Prof. Larry W. Cusick, [INTERMEDIATE]. 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

...was due,
slid
u
n
d
e
r
my office door (Little Hall 402, Northeast corner)
,
no later than
**2PM, Thursday, 23Apr2020**.

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

For the typesetting, one possibility
is the (free)
mathematics-typesetting language
.

**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.