Professor Emeritus

Department of Mathematical Sciences

New Mexico State University

Las Cruces, NM 88003, USA

575-646-3901

davidp@nmsu.edu

Here's my detailed vita, which lists all my publications.

**How
efficiently can one untangle a double-twist? Waving is
believing!**** (with Dan Ramras), preprint and
animations.**

Classroom teaching methods for
active student work in class via
advance reading, writing, and warmup exercises, as alternatives
to
lecture:

Here are thoughts about the classroom
dynamics of teaching this way. Here is an explanation of my
grading
and
daily logistics of handling several units simultaneously
with
these assignment parts. Here are sample homework
guidelines
for students about how assignments can be designed to foster an
active
classroom without lecture. Here is an overview
handout for a sophomore discrete mathematics course of how I
present
this pedagogy to students. Here are example
assignments for courses in discrete mathematics and
calculus,
showing reading questions, warmup exercises, and final exercises.
Here
is an
actual assignment
handout for students, showing the different things I expect
them to
do.

Translations of primary
historical
source materials:

Excerpts
on
the Euler-Maclaurin summation formula, from Institutiones
Calculi
Differentialis
by

Leonhard
Euler
(pdf format), or in (dvi
format).

Excerpt from a letter of Monsieur Lame to Monsieur Liouville on the question: Given a convex polygon, in how many ways can one partition it into triangles by mean of diagonals?: Lame's elegant geometric solution to finding the one step recursion relation solving Euler's decomposition problem, leading to the factorial formula for Catalan numbers.

Some more papers:

OK, here's a photo
taken at the 1999 Boulder conference on homotopy theory. On
the
left
is Italian algebraic topologist Luciano Lomonaco, on the right is
me.

You might find another photo of me playing badminton
at NMSU.

Last revised on March 11, 2016.