materials for upper-level combinatorics?

[sarah-marie belcastro]

Hello IBL SIGMAA,

A colleague is planning an IBL combinatorics course, and has gathered materials for some topics on the syllabus (e.g. those covered in Bogart) but not others. I searched JIBLM and found nothing. Do any of you have (or know of) shareable materials for
combinatorial designs (including Latin squares)
error-correcting codes
probabilistic methods
Ramsey theory
that I could point my colleague to, or send to hir?

Thank you!

--sarah-marie.

[Brian Katz (BK)]

smb,

   The RUME scholar who studies inquiry-oriented combinatorics is Elise Lockwood. She might be willing to share materials. They are likely to be for in-class group exploration.

   Kyle Peterson has a new book (Springer, I think) that is an inquiry sequence for combinatorics. He's an algebraic combinatorialist. A smaller version is available free online.

   I am happy to share a smaller sequence that's more problem-based (in the style of Exeter) that I used in Discrete last and this semester. It's not big, but it does appear to get students to generalize the Binomial Coefficient Theorem and some other related ideas.

            Cheers, BK

Brian P Katz, PhD
Department of Mathematics & Computer Science
Augustana College
Rock Island, IL 61201
309-794-8277
bria...@augustana.edu

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[Cook, Samuel]

This is Elise’s website, which does include some teaching resources.     http://combinatorialthinking.com/

 

 

 

Samuel Cook, Ph.D.
Clinical Associate Professor
Boston University Wheelock College of Education & Human Development
Sam...@bu.edu | bu.edu/Wheelock  
617-353-1786

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[Lauren Rose]

For Latin squares, try the book "Taking Sudoku Seriously" by Laura Taalman.

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Lauren Rose
Associate Professor of Mathematics
Bard College

[Thomas Dunn]

I attended a talk a few years ago in Minnesota about error correcting code that used the Hat Game as an example, although I don't remember the exact context.  You can find a description of it here: https://en.wikipedia.org/wiki/Induction_puzzles under the Basic Hat Puzzle.

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From: ibl-s...@maa.org <ibl-s...@maa.org> on behalf of Lauren Rose <ro...@bard.edu>
Sent: Friday, April 24, 2020 12:46 PM
To: sarah-marie belcastro <smbe...@toroidalsnark.net>
Cc: ibl-s...@maa.org <ibl-s...@maa.org>

Subject: Re: [ibl-sigmaa] materials for upper-level combinatorics?

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[Patrick Rault]

I’ve used the following for IBL combinatorics by Daniel Marcus:

https://www.maa.org/press/maa-reviews/combinatorics-a-problem-oriented-approach

 

But I think its missing many of your topics.  The graph theory book by the same author (which I’ve used for IBL graph theory) has some of them (Latin Squares, Ramsey Theory). 

 

 

Mitch Keller kel...@morningside.edu is an IBL enthusiast who has his own combinatorics book, so you might reach out to him.  A quick glance at his book makes it look like it was created before he was into IBL, but I know he teaches combinatorics with IBL so I suspect he’s made some adaptations.  And I think his book goes deeper than Marcus’, with many of the topics you listed below.

 

Hope this helps,

Patrick

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