Math 314: Experimental Mathematics. Fall 2007

Math 314. Experimental Mathematics.
Fall 2007

Course Information
Name:	Experimental Mathematics
Time:	MWF 1:00 - 1:50pm
Place:	Gibson 325
Instructor:	Victor H. Moll, vhm@math.tulane.edu 403 Gibson Hall, 862-3442
Office hours:	Mon, Wed, Fri 11-12 am or by appointment
Text:	Irresistible Integrals by V. Moll Experimental Mathematics in Action by Jon Borwein et al.

The site Experimental Mathematics Website contains information about this emerging field of Mathematics.
Sites with more information that will be useful throughout the course.

Funding

The development of this course is funded by a grant from the National Science Foundation: CCLI-0633208.
This is a joint project with Marc Chamberland from Grinell College. The proposal is here.

Syllabus

The goal of the course is to present a variety of methods dealing with the evaluation of definite integrals.
The use of the symbolic language Mathematica will be an essential tool in the discovery and proofs of these evaluations.

A more formal syllabus is here.

Exams

There will be Problem sets, a Final Project and a Final Exam.

Lectures Notes and Mathematica files

File 1: Wallis formula File 1
File 2: The experimental approach to a quadratic integral. File 2
File 3: The recurrence for a quadratic integral. File 3

Homework

Write about your background. Courses you have taken, things that interest you.
Send me an email with this information.

Manipulation of lists. pdf-file
Binomial coefficients and Wallis formula. pdf-file
Read the paper An elementary evaluation of a quartic integral
Read the paper A simple example of a new class of Landen transformation
A quartic integral. pdf-file

Important Dates for Fall 2007