Math

Classes I taught, past and present.

Basic Algebra with Applications

Basic Algebra with Applications is a free and open-source textbook covering very basic agebra, rougly speaking, from axioms to soliving quadratic equations, intended for community college audience.

Articles

2010-05-12 - Prime Crawler update is due in a few days or weeks. The math part includes a treatment of the distribution of strings of arbitrary finite length in the period (spoiler: they will tend to be equidistributed under certain conditions). The code will include a new data structure for so called sparse lines, which will allow for periods as large as the product of the first million primes.

2009-10-09 - Prime Crawler is a pseudo-random number generator I made up. Here is a description and some math [PDF] that goes with it.

As for the code (designed to be very vanilla c++, known to build in Slackware and Ubuntu), you can git it:

git clone git://buma16.bu.edu/pub/git/prime-crawler

or get this tarball [tar.bz2]

2009-01-18 - Birthday problem: In a group of people whose birth dates are distributed randomly, independently and uniformly, what is the probability of the event that at least 2 people will have the same birth date? PDF, LaTeX

2008-06-23 - Staistical Haiku written by students in MA 115 class, taught in Spring 2008 (I was a teaching assistant then).

Lecture Videos

These are no longer used in instruction, and are posted here for archival purposes only.

Math 100 lecture videos

Math 300 lecture videos

Stat 300 lecture videos