This class covers the mathematics of inverse problems involving waves, with examples taken from reflection seismology, synthetic aperture radar, and computerized tomography. The course is suitable for graduate students from all departments who have affinities with applied mathematics.


Bibliographic References

Current version of the notes: here. Old versions of the notes: Sep 11,Sep 13, Sep 18, Oct 1, Oct 3, Oct 10, Oct 16, Oct 20,Nov 11, Nov 24, Nov 25, Dec 4.

For future reference, the most current version of the notes will be at the top of the resources page.

There is not one textbook. The material will be inspired from various sources. Here is a list of references that sometimes go way beyond what we'll do in class.

Prerequisites: Some undergraduate familiarity with partial differential equations, Fourier transforms, distributions (the Dirac delta), linear algebra and least squares, as well as some basic physics. Basic computer programming.

Who, when, and where

We will meet T-Th from 2:30 pm to 4 pm in room 2-136. Instructor: Laurent Demanet. Contact info. Office hours: W 2-4, or else email.

The first class will be on Thursday September 6.


The evaluation will consist in occasional problem sets and an oral presentation of a good (landmark, foundational) paper from the literature. Talk to your advisor or to me if you'd like a recommendation of a good paper. Breakdown: 70% hw, 30% presentation. The lowest hw score will be dropped. The presentations will be on December 6 and 11, in class.

Homework problems:

Some advanced papers, list in construction. Some may be adequate for the term paper presentation: consult with me first.