Math 192r: Algebraic Combinatorics

Fall 2001

taught by Prof. James Propp

(visiting professor from the University of Wisconsin, Madison)

Note: the registrar's course-page for Math 192 is

http://www.courses.fas.harvard.edu/~math192/.

You can read an overview of the course, a syllabus, and a description of course logistics (including a reading list).

You can see a list of topics covered in individual lectures, with links to my personal lecture-notes and links to videos.

Students who take this course will find the following links helpful:

The On-line Encyclopedia of Integer Sequences of Neil Sloane; generatingfunctionology by Herbert S. Wilf; East Side, West Side also by Herbert S. Wilf; and info about Maple.

Here is a sample Maple session about manipulating sets and lists.

Here is an article on lattice animals by Mireille Bousquet-Melou and Andrew Rechnitzer (the figures on pages 5 and 6 were shown in class).

I have removed the solutions to the problem sets from the web, in preparation for teaching a course similar to Math 192 at the University of Wisconsin in Fall 2003; but I will happy to send the solutions by email to anyone who isn't a student in the course.

Here is the first problem set (due September 20), as a latex file, a pdf-file, and a ps-file; and here is the solution, as a latex file, a pdf-file, and a ps-file (corrected 9/25/01);

Here is the second problem set (due September 25), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the third problem set (now due October 2), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the fourth problem set (also due October 2), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the fifth problem set (due October 4), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the sixth problem set (due October 9), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the seventh problem set (due October 11), as a latex file, a pdf-file, and a ps-file, and here is the (revised) solution, as a latex file, a pdf-file, and a ps-file.

Here is the eighth problem set (due October 16), as a latex file, a pdf-file, and a ps-file. and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the ninth problem set (due October 18), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the tenth problem set (due October 23), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the eleventh problem set (due October 25), as a latex file (requiring the pstricks package) and as a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the twelfth problem set (due November 6), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the thirteenth problem set (due November 8), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the fourteenth problem set (due November 13), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the fifteenth problem set (due November 15), as a latex file, a pdf-file, and a ps-file. and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the sixteenth problem set (due November 20), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the seventeenth problem set (due November 29), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the eighteenth problem set (due December 4), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the nineteenth problem set (due December 6), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the twentieth problem set (due December 11), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.

Here is the twenty-first (and final!) problem set (due December 13), as a latex file, a pdf-file, and a ps-file, and here is the solution, as a latex file, a pdf-file, and a ps-file.