Credit: NASA JPL


Important: there will be no class on Thursday September 7. There is an intro video to replace it.

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.

Credit: Munich GeoCenter


Bibliographic References

Current version of the notes: here.

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 3:00 pm to 4:30 pm in room 2-151. Instructor: Laurent Demanet. Contact info. Office hours: W 2-4, or else email.

The first class will be on Tuesday September 12.


The evaluation will consist in problem sets and a project. The project can be computational or theoretical; related to your research or not; or can consist in the 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. Propose a topic for your project to me by early October. Breakdown: 50% hw, 50% project. The presentations will be in class on Th Dec 07 and T Dec 12.

Homework problems:

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