Math 640: EXPERIMENTAL MATHEMATICS (Combinatorial Deep Learning) (Spring 2027)

http://sites.math.rutgers.edu/~zeilberg/math640_26.html

Last Update: Oct. 11, 2026

Teacher: Dr. Doron ZEILBERGER ("Dr. Z")
Classroom: Allison Road Classroom Building [Busch Campus], IML Room ARC TBD]
Time: Mondays and Thursdays, period 3 (12:10-1:30pm)
Dr. Zeilberger's Email: DoronZeil at gmail dot com ; Official Email: zeilberg@math.rutgers.edu
Dr. Zeilberger's e Office Hours (Spring 2027): MTh 10:50-11:50am

Description

Experimental Mathematics used to be considered an oxymoron, but the future of mathematics is in that direction. In addition to learning the philosophy and methodology of this budding field, students will become computer-algebra wizards, and that should be very helpful in whatever mathematical specialty they are doing (or will do) research in.

We will first learn Maple, and how to program with it. This semester we will learn, from an experimental mathematics and symbolic-computation point of view, Combinatorial Deep Learning and Bayesian methods.

The final projects may lead to published papers. People who already took previous editions of this class are welcome to take it again, since except for the basics, there is very little overlap with previous years.

This class is suitable for graduate students in other departments, and the software development skills learned will be useful for doing any quantitative research. Very smart advanced undergraduates are also welcome.

Optional (but Highly recommended) Getting Started Homework

Teach yourself the basics of Maple by reading Frank Garvan's golden-oldie part 1, part 2
Note: a few commands are no longer valid in today's Maple. The most important one is that " has been replaced by %.

For more details, see this 2002 masterpiece.

How to submit homework

Every class has a homework assignment. Both Mondays and Thursdays' are due 8:00pm Sunday of the following week.
It should be sent to the email address
ShaloshBEkhad at gmail dot com
Subject: HomeWork#X
and then attach a .txt file(s) called
hwXYourFirstNameYourLastName.txt
where X is the number of the assignment
Except for the first assignment, you should have two attached .txt files.
For example, when David Hilbert submits homework assignments 2 and 3, he should email ShaloshBEkhad at gmail dot com, with
Subject: HomeWork#2#3
and attach the text files (the source code plus human comments (such lines must start with #)
hw2DavidHilbert.txt and hw3DavidHilbert.txt
The very first line of the .txt files should have
#Please do not post homework
or
#OK to post homework
Followed by
#Your Name, Date, Assignment X

Dr. Z.'s teaching page