SeLo: Sets and Logic [2018t]

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 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 responsible to get all Notes / Announcements / TheWholeNineYards from a classmate, or several. All my classes have a substantial class-participation grade.

General Info

The cute Home-A as appeared, for your team to cogitate on. While the take-home isn't hard, it is long; so you should start right away.
In one convenient location: All 5 SeLo quizzes so far (pdf), [Tuesday, 18Sep2018]
The PList: Problem List for SeLo (pdf).
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...
Future: Have read and throughly understood Euclidean algorithm (up through “Extended Euclidean...”) and Modular arithmetic (up through “Applications”).
The highly-unfinished Primer on cardinality.
Voila! our SeLo syllabus . Recally that events may necessitate date-changes of exams.
Nostalgic?, see Spring 2012 OR Autumn 2011 which also has Autumn 2009 and Spring 2008.

Time	Computer	Blackboard	Spur-OTM-Probs	Phone-list
Kailey S.	Jeremy M.	?	Joey, Mario, Patrick	Aerin B.

Tips on writing proofs

"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, for then; e.g then or necessarily or we 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.

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

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.

End-of-semester SeLo Individual Required?/Optional? Project-D (pdf)

...will be due, slid u n d e r room 402 Little Hall 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 LaTeX . 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 each day, so that you always have the latest version to hand-in; this, in case your printer or computer fails. (You are too old for 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