Open course ware

The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare continue to offer high-quality educational resources for free. To make a donation or to view additional materials from hundreds of MIT courses, visit MIT OpenCourseWare at ocw.mit.edu. ROBERT FIELD: Today, I'm going to go over a lot of material that you already know and work an example with non-degenerate perturbation theory. This will give me an excuse to use interspersed matrix and operator notation, and one of the things that you will be doing is dealing with infinite matrices. And we don't diagonalize infinite matrices, but the picture of an infinite matrix is useful in guiding intuition. And so we have to know about what those pictures mean and how to construct them from things that seem to be obvious. OK, the problem I want to spend most of my time on is an example of a real molecular potential which is quadratic but with a cubic and a quartic pertur...

[SQUEAKING] [RUSTLING] [CLICKING] NANCY KANWISHER: All right, OK, so let's start. We're talking about music today, which is fun and awesome. But first, let me give you a brief whirlwind reminder of what we did last time. We talked about hearing in general and speech in particular. And we started, as usual, with computational theory, thinking about what is the problem of audition and what is sound. It's the first step of that. And sound is pressure waves traveling through the air. And the cool thing about hearing is that we extract lots of information from this very, very simple signal of pressure waves arriving at the ear. We use it to recognize sounds, to localize sounds, to figure out what things are made of, and to understand events around us, and all kinds of things. And these problems are a major computational challenge. And in particular, they are ill-posed. That means that the available information doesn't give you a unique solution if you consider ...

the following content is provided under a Creative Commons license your support will help MIT open courseware continue to offer highquality educational resources for free to make a donation or view additional materials from hundreds of MIT courses visit MIT open courseware at ocw.mit.edu I want to go over the uh homework I will post right after the class I wanted to talk talk to you about it first these are really worksheets It's homework that you should all get everything right uh I will do a separate homework that will make up for some of the bad quiz performances I know you requested that that's not what this is this is to help you review and uh I selected a bunch of pictures I'm just giving you it this will all be posted uh I guess uh do you all do you all have access to printers if you have problems printing it just uh come with us after class we'll print it for you but I'm going to show you what it is this these are the worksheets and you can see...