Selected Publications and Presentations

Publications

Exceptional Bobo Numbers (with Alan Mitchell and Samuel C. Zandi), submitted for publication (Draft available upon request). (The exceptional Bobo numbers are A277603 in the OEIS.)

The Falling Ladder Paradox Revisited (with Brittany A. Burke and Zach Jackson), The College Mathematics Journal, 49 (2018), pp. 36-40, https://doi.org/10.1080/07468342.2017.1388690. (Preprint available here.)

A Closer Look at Bobo's Sequence (with Daniel T. Clancy), The College Mathematics Journal, 45 (2014), pp. 199-206. (The Bobo sequence is A242679 in the OEIS. Here are the first 845,157 Bobo numbers.)

Proof Without Words: A Series Involving Harmonic Sums, Mathematics Magazine, 80 (2007), p. 83.

The Harmonic Series Diverges Again and Again (with Terra A. Stamps), The AMATYC Review, 27 (2006), pp. 31-43. (An unpublished addendum to this article is available here.)

Proof Without Words: A Partial Fraction Decomposition, The College Mathematics Journal, 36 (2005), p. 122.

The Method of Gnomons and a New Scheme for Approximating Square Roots, The AMATYC Review, 24 (2003), pp. 57-63.

Dissertation

A Divide-and-Conquer Split Schur Algorithm, Northern Illinois University, August 2015

Conference Presentations

There's More Than One Way to Integrate that Function (Slides), 44th Annual Conference of the American Mathematical Association of Two-Year Colleges; Orlando, FL; November 15, 2018

The Harmonic Series for Every Occasion (Slides), 43rd Annual Conference of the American Mathematical Association of Two-Year Colleges; San Diego, CA; November 12, 2017

Bobo Numbers, Bobbers, and Bears--Experiences in Undergraduate Research (Handout | Slides), 42nd Annual Conference of the American Mathematical Association of Two-Year Colleges; Denver, CO; November 17, 2016

Bobo Numbers, Bobbers, and Bears--Experiences in Undergraduate Research (Slides), 23rd Annual Conference of the Wisconsin Mathematical Association of Two-Year Colleges; Shebogan, WI; September 24, 2016

Serious About that 1 Series (Handout | Slides), 37th Annual Conference of the American Mathematical Association of Two-Year Colleges; Austin, TX; November 10, 2011

Serious About that 1 Series (Handout | Slides), 36th Annual Conference of the Illinois Mathematics Association of Community Colleges; Monticello, IL; April 1, 2011

Uncommon Approaches to Some Common Calculus Problems (Handout | Slides), 35th Annual Conference of the American Mathematical Association of Two-Year Colleges; Las Vegas, NV; November 12, 2009

Serious About the Harmonic Series II (Handout | Slides), 31st Annual Conference of the Illinois Mathematics Association of Community Colleges; Monticello, IL; March 31, 2006

Serious About the Harmonic Series (Handout | Slides), 31st Annual Conference of the American Mathematical Association of Two-Year Colleges; San Diego, CA; November 10, 2005

Assessing Conceptual Understanding in the Calculus Sequence, Placement and Assessment Themed Sessions, 30th Annual Conference of the American Mathematical Association of Two-Year Colleges; Orlando, FL; November 18, 2004

Tabular Integration by Parts - A Jewel in the Rough, 28th Annual Conference of the American Mathematical Association of Two-Year Colleges; Phoenix, AZ; November 16, 2002

A Superfast Version of the Split Schur Algorithm, 7th Annual Conference of the International Linear Algebra Society; Madison, WS; June 5, 1998

Unpublished Articles

More Proofs of Divergence of the Harmonic Series

Some Sums via Integration by Parts

A Remarkably Elementary Proof of the Irrationality of e

Last updated June 16, 2019