Topics in Applied Mathematics: Waves and Imaging
MIT OpenCourseWare's graduate course on inverse problems in wave-based imaging, taught through lecture notes and problem sets covering the mathematics behind reflection seismology, synthetic aperture radar, and computerized tomography. The course develops the theory of how waves can be used to reconstruct hidden structures, working through forward and inverse scattering, Radon transforms, and the numerical methods used to turn recorded wave data into images. Materials include course notes, readings, and assignments drawn from MIT's applied mathematics curriculum, aimed at students with a background in analysis and differential equations. As with other MIT OCW offerings, all materials are free to access online under an open license, with no certificate offered. It suits students or self-learners wanting the mathematical foundations behind medical imaging, geophysical exploration, and radar systems rather than a general survey of applied math.